<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Archiving and Interchange DTD v1.0 20120330//EN" "JATS-archivearticle1.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Intelligent Systems for Monitoring the Integrity of Technical Objects Based on Distributed Fiber-optic Sensors</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Ali Mekhtiev</string-name>
          <email>alika_1308@mail.ru</email>
          <email>lalita17021996@gmail.com</email>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Aliya Alkina</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Alexandr Neftissov</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Ilyas Kazambayev</string-name>
          <email>ilyaskazambayev@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Astana IT University</institution>
          ,
          <addr-line>Mangilik el street 55/11, Astana, 010000</addr-line>
          ,
          <country country="KZ">Kazakhstan</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Karaganda Technical University</institution>
          ,
          <addr-line>56 Nursultan Nazarbayev Avenue, Karaganda, 100000</addr-line>
          ,
          <country country="KZ">Kazakhstan</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Saken Seifullin Kazakh Agrotechnical Universityy</institution>
          ,
          <addr-line>62 Zhenis Avenue, Astana, 010000</addr-line>
          ,
          <country country="KZ">Kazakhstan</country>
        </aff>
      </contrib-group>
      <fpage>290</fpage>
      <lpage>306</lpage>
      <abstract>
        <p>This article provides an overview of existing intelligent systems for monitoring the integrity of extended objects based on distributed fiber-optic sensors. The results of the development of measuring systems using distributed fiber-optic sensors are presented. The analysis of existing solutions for constructing measuring systems is carried out. The main types of measuring schemes and principles of determining the integrity of extended objects are considered. The basic principles for the construction of fiber-optic sensors are defined. The analysis demonstrated achievements in improving measurement accuracy using various optical reflectometry methods. Shortcomings of measuring systems are revealed, and ways of elimination are established. Methods of filtration from overvoltages and temperature influences are considered. The difficulties of applying wellknown works are determined. A review of the current state of development of artificial intelligence in the field of its application in measurement systems is carried out. It is revealed that the systems built based on an optical time domain reflectometer (OTDR) using a convolutional neural network (CNN) show higher quality indicators. The possibilities of using different types of neural networks to recognize various mechanical influences using machine learning are considered. The disadvantages and advantages of using neural network systems in measuring systems based on distributed fiber-optic sensors are identified, and the most optimal type is selected. The direction for further research and development of a technical condition monitoring system based on distributed fiber-optic sensors has been determined.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>Fiber-optic sensor, optical fiber, monitoring system, neural network</p>
      <p>
        Currently, extended facilities are used to perform any technological tasks, a violation of the technical
condition which can lead to small-scale or global accidents in the worst case. For this reason, intelligent
continuous monitoring systems are needed to warn of integrity violations promptly. It is worth noting
that the leading causes of damage can be both natural, and man-made phenomena, and sabotage,
violations caused by the human factor. Special systems based on an optical time domain reflectometer
(OTDR) are used to monitor the technical condition and ensure the safety of extended facilities. The
systems consume a small amount of electricity, and electromagnetic interference is not induced in them.
Sensors with phase-sensitive reflectometry are the most widely used, due to their sensitivity to
mechanical vibrations. At the same time, increased sensitivity is the cause of false positives, which
leads to an excess of information. Standard solutions do not allow for obtaining reliable results;
therefore, it is necessary to improve the systems. Most often, such a solution is to amplify the optical
signal [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]-[
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]. Moreover, it is possible to determine the distance to the source of mechanical
      </p>
      <p>
        2022 Copyright for this paper by its authors
deformations or vibrations by circulating the optical signal of the laser and the signal from the fiber
under the test (FUT) [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], using Bragg gratings [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], by a phase shift of optical signals [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. It is also
possible to combine several of these methods [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ], using a differential optical signal with a more
straightforward design, but with a more complex software part [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. In some cases, other approaches are
used to implement the measuring part, in which a delay is created by installing a coil with an optical
fiber [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. At the same time, monitoring systems should consider the length of the distributed sensor and
its impact on accuracy [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. Modernizing the hardware allows for solving problems with temperature
influences and mechanical overvoltages. Despite this, before choosing or developing sensors, it is also
necessary to pay attention to the complexity and cost of the design. The proof that non-traditional
methods of constructing a measuring system are effective is presented in [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ], [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ].
      </p>
      <p>
        Artificial intelligence systems are used to solve the problem of interference caused by humans and
technology, namely, based on machine learning and neural networks. The result obtained is
characterized by high accuracy in determining the source and nature of the alarming event [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ].
Intelligent systems for determining the causes and location of accuracy are usually implemented using
the method of error backpropagation [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ], the method of filtering matches [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ], and collapsing neural
networks [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ]. However, it should also be considered that the choice of the type of neural networks also
depends on the number of samples, accuracy, and classification feature. The most widely distributed
are collapsible neural networks due to their ability to process graphs and images [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ].
      </p>
      <p>
        Consequently, quite often, there are systems using distributed fiber-optic sensors built on
phasesensitive OTDR and CNN [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ], which increases the device’s cost, complexity, and size.
2.
      </p>
    </sec>
    <sec id="sec-2">
      <title>Methods and materials First level heading</title>
      <p>Bibliometric analysis of the Elsevier group database (Scopus) was used as the main method when
writing the article. 5,035 articles were found on this topic. The selection criteria for the study were: a)
articles published from 2012 to 2022 were considered, b) systems for monitoring the state of extended
objects used optical fiber as a sensor, c) systems for monitoring the state of extended objects had an
intellectual component. The figure shows the statistics of the Scopus database on publications on this
topic, broken down by year. Further, the research area was narrowed, and 20 sources were selected for
analysis.</p>
    </sec>
    <sec id="sec-3">
      <title>Measuring systems</title>
      <p>
        When building the system, they are mainly used by the ϕ-OTDR, c-OTDR method. Moreover, each
system performs certain functions, but the main direction developed is monitoring the state of extended
objects. For ϕ-OTDR systems, interferometry systems are the most common [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. The principle of
interferometry: an optical information cable receives a signal in the form of a laser, which is then
divided into two using special devices. In the first cable, the signal passes without delay, and in the
second, the delay is generated using an optical fiber wound into a coil. The signals from the two cables
are combined and sent to the photosensitive elements. The received signal can be processed as a
dependence of light intensity on time. However, interference is easily induced in such a system.
Therefore, the use of artificial intelligence is necessary. For example, in [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] the main instrument for
measuring is an interferometer that determines the phase shift of the laser.
      </p>
      <p>A pair of unbalanced Mach-Zender interferometers (MCI) with a time delay, created by a fiber,
having a length 500m, was used as the measuring instrument of the HSL to measure the phase of the
signal determined by time bands. The signal is represented as intensity and is measured by a
photodetector (Figure 2). To eliminate interference, acoustic-optical modulation (AOM), which
increases the optical signal amplitude, and an erbium-doped optical amplifier (EDFA), which restores
the optical signal level, were installed in the standard circuit.</p>
      <p>A laser with a small bandwidth frequency range acted as a source of information in the ϕ-OTDR
system to achieve high efficiency of the adaptive pulse period (API) method, and low-frequency
vibrations were measured.</p>
      <p>,
where  is the laser frequency shift,   is the pseudo–period of the signal intensity,  and  are the
amount depending on the speed of light in space, and the refractive index.</p>
      <p>
        A laser with a bandwidth of 100 Hz and a wavelength of 1550 nm was chosen as the source of
information. The laser light passes through an acoustic-optical modulator (AOM), and a fiber-optic
amplifier (EDFA), and the already amplified signal passes through the fiber operating under the test
(FUT). At the same time, through an optical connector (OC) with a ratio of 1 to 99, the optical signal
from the laser enters the data acquisition board. The piezoelectric transducer generates mechanical
vibrations using an electrical signal of a certain frequency. The reflected optical signal enters the optical
connector (OC) with a 50-to-50 ratio and enters the photodetectors, the output signals recorded by the
data acquisition board [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. The standard phase-sensitive system is susceptible to mechanical and
temperature overvoltages; the proposed system can work and consider these interferences. Moreover,
(1)
polarization for this device is carried out by adding devices for frequency shift modulation and signal
amplification. Therefore, interference imposed on the optical signal does not affect the operation of the
device. However, it is worth noting that such a fiber-optic sensor has a complex design and does not
consider the influence exerted by man and technology. At the same time, the study’s results are
presented for a rather short length of an extended object [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ].
      </p>
      <p>
        The design of the system proposed in [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] is shown in Figure 3. The technological process of
determining the presence of vibration is similar to the above. However, in this case, two acousto-optic
modulators (AOM1, AOM2) with different frequency shifts of 120 and 200 MHz were used. Moreover,
the information received by the photodetector (PD) is then processed by special data collection and
further processing systems (DAQ) and (Data Processing), respectively. Signals passing through special
Bragg gratings (UWFBG1) – (UWFBGn) allow you to determine the distance to the source of
vibrations. A light circulation device (Cir) makes it possible to achieve signal polarization. The pulse
source (PG) creates a sinusoidal signal for modulation.
      </p>
      <p>The experimental model was tested using a special vibration exciter, a feed stream with a
frequency of 150 Hz. The phase value also changed with increasing current and amplification of the
amplitude of mechanical vibrations (Figure 4). At the same time, the polarization-phase fusion
unfolding algorithm differs from standard methods in its ability to accurately measure dynamic
deformations based on restoring the actual phase signal from the raw with an amplitude signal. Such
changes made it possible to achieve an extensive range of amplitude measurements, determined by
the polarization signal, and good sensitivity, determined by the phase signal. However, the use of
several Bragg gratings complicates the design and reduces the reliability of the whole system.
Although it becomes quite easy to detect the damage's specific location, the system can also not
recognize interference caused by humans or machinery.</p>
      <p>
        In [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], a Sagnac interferometer in a fiber-optic vibration sensor was used for the perimeter security
system to measure vibration. The task of this device is to polarize the signal, and the design is shown
in Figure 5. Polarizers eliminate interference in the cable during measurement, and signal sources create
the phase difference during mechanical deformation in the cables clockwise (CW) and the cable
counterclockwise (CCW) in a closed system. In turn, the delay is created using special coils and
polarizers. Thus, the intensity of the interference light becomes less sensitive to phase differences or
minor vibrations close to zero. As an element that creates an electrical signal, a piezoelectric cylinder
is used on which a polarizer is installed. In this case, the output signal  ( ) can be determined by the
following mathematical expression
      </p>
      <p>
        In [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], a Sagnac interferometer in a fiber-optic vibration sensor was used for the perimeter security
system to measure vibration. The task of this device is to polarize the signal, and the design is shown
in Figure 5. Polarizers eliminate interference in the cable during measurement, and signal sources create
the phase difference during mechanical deformation in the cables clockwise (CW) and the cable
counterclockwise (CCW) in a closed system. In turn, the delay is created using special coils and
polarizers. Thus, the intensity of the interference light becomes less sensitive to phase differences or
minor vibrations close to zero. As an element that creates an electrical signal, a piezoelectric cylinder
is used on which a polarizer is installed. In this case, the output signal  ( ) can be determined by the
following mathematical expression
where  – is the amplitude parameter,  - is the interference efficiency, ∆ – is the phase difference.
The phase modulation depth parameter   is determined by the formula
      </p>
      <p>= 2  sin⁡(    ),
where   – amplitude of the phase modulation depth.</p>
      <p>A fiber-optic sensor with single-point sensitivity is not enough to determine the location of the
vibration source. The solution to this problem is to remove the delay line to reduce sensitivity. The
sensor cable with flat sensitivity cannot detect the vibration position, so the delay line must be removed
to reduce its sensitivity. At the same time, two sensors were used to determine the distance. The sensors
were installed in such a way that the first sensor next to the terminal box had the least sensitivity to
vibration, and the second sensor located next to the connector, on the contrary, had the maximum
sensitivity to vibration. To determine the location is calculated by the ratio of the difference between
the output signals to their sum.</p>
      <p>
        The proposed system can process signals from interference, which is good for zone security systems
and unauthorized access. However, the system cannot distinguish between other interferences.
Vibrations from interference are the causes of a false alarm, due to which standard data processing
systems will not be able to work correctly [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ].
      </p>
      <p>
        [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] shows the results of monitoring deformations of the artificial tunnel "Calabrese", performed
using a distributed fiber-optic strain gauge based on stimulated Brillouin scattering. Field tests
conducted using the BOTDA prototype are shown in Figure 6. The BOTDA sensor was used to
determine the distribution of mechanical stresses along the two side walls of a 200 m long railway
tunnel. It consists of eight adjacent sectors separated by joints with uneven spacing (the average length
(2)
(3)
of each sector is 25 m). Figure 7 shows the recorded data on the lengthening of the fiber in a time
breakdown. The figure shows that in the second half of 2016, the fiber underwent elongation. After the
measurement in June 2018, the fiber lengthened in all joints and even collapsed in several joints on the
descent. The data obtained from fiber-optic sensors were then compared with data from
CosmoSkyMed, which confirmed the presence of a landslide in 2018 in this area. Therefore, the experiment’s
results demonstrate the reliability of a fiber monitoring system for monitoring deformations of the
tunnel structure.
      </p>
      <p>The measurement of the system is not affected by the interference caused by mechanical
overvoltages and temperature influences. At the same time, this solution allows you to determine the
displacement of plates in the tunnel. The results obtained allow us to determine the technical condition
of the object.</p>
      <p>
        The solution described in [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] suggests using a difference signal of phase-sensitive reflectometry
using deep learning systems to distinguish alarming events. The design of this system is shown in Figure
8. A laser is used as a source of information, sending a signal, amplified by a semiconductor optical
amplifier (SOA) optical amplifier (EDFA). The signal is filtered from possible fluctuations, and then
through the coils, the signal enters the sensing element. The use of an additional EDFA and filter allows
you to collect data without interference.
      </p>
      <p>By comparing the input and output signals, it is possible to determine the source of vibration and its
location. The proposed system involves the use of deep learning, since in its absence the system cannot
give an accurate result, namely, it cannot distinguish interference caused by a person or the movement
of a machine from an alarm signal. The solution for the monitoring system requires a lot of space and
complicates the structure of the system and its price. Having many devices to improve accuracy can
also reduce the normal operation time of the device.</p>
      <p>
        The system in [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] is designed to monitor the technical condition of power cables extended
underwater (Figure 9). A 20 MW signal is generated as a light pulse with a duration of 8 ns by a
distributed feedback laser (DFB) wavelength of 1550 using a DVS measurement unit based on
ϕOTDR. Then, the optical signal is amplified by a fiber amplifier (EDFA 1) to increase the peak power
to 1 watt to eliminate interference. EDFA 1) to increase the peak power to 1W to eliminate interference.
The amplified signal is then filtered using a wavelet transform, the bandwidth of which is 100 GHz,
and enters the sensor element through the circulator. Through the fibers from the cable under test.
      </p>
      <p>As a result, the system can detect mechanical deformations of power cables under water. At the same
time, the amplification of the optical signal makes it possible to eliminate interference caused by
fluctuations in the information source. At the same time, such a system cannot be adapted to other
extended objects since it does not consider temperature influences and mechanical overvoltages.</p>
      <p>
        The possibility of using a Rayleigh reflectometer or C-OTDR is also considered [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. When using
these reflectometers, optical signals, usually generated in the form of pulses, are fed into the optical
fiber at certain points in time with a period defining a "slow" time scale to deter mine transients in
backscattering.
      </p>
      <p>For each pulse, the value of the backscattering intensity is selected at a certain point in time with a
constant interval during the passage of the laser pulse in the optical fiber. At the same time, to determine
the intensity of the optical signal at a certain time, it is calculated as the sum of incoherent Iinc and
coherent Icoh components. At the same time, the amount of information for processing is reduced, but
the information at a certain point in time is sufficient to determine the location of the vibration source.</p>
      <p>
        The proposed method can work accurately to determine fluctuations in extended blocks. Unlike
conventional ϕ-OTDR systems, the information coming from the photodetector is less, allowing for a
short period to obtain accurate data. The main disadvantage is the complexity of the system and the
calculation of fluctuations. Thus, in the presence of many accidental external influences, the system's
operation may be incorrect. The study presented in [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] should also be noted to select a monitoring
system. Choosing a measuring system with high accuracy and sufficient sensitivity is usually
challenging to detect a violation of integrity or changes in technical conditions. An experiment was
conducted to compare the ϕ-OTDR and OTDR interferometry systems (Figure 10).
      </p>
      <p>In both cases, a narrow-band laser with distributed feedback (DFB-FL) with a power of 10 MW and
a bandwidth of 5 kHz was used. The laser creates an optical signal, amplified using an acoustic-optical
modulator (AOM), an optical amplifier doped with erbium (A). The amplified signal is filtered by a
fiber-optic lattice filter (F) and enters the circulator (C), which is again converted by devices F and A.
The installation for the ϕ-OTDR system uses a standard optical connector, where the signal is divided
and fed to three photodetectors (PD1-PD3). In the case of OTDR interferometry, an additional
connector is used, from which signals are sent to two rotating Faraday mirrors.</p>
      <p>The obtained results showed that in the case of standard ϕ-OTDR systems, the polarization was
insignificant, and for the OTDR interferometric system, the polarization was performed independently
of the input and output optical signal and was reduced. The use of both methods has demonstrated that
phase-sensitive reflectometry is less sensitive than interferometric. However, the use of rotating
Faraday mirrors in the system increases the design and complicates the system, and may affect the
reliable operation of the system</p>
      <p>
        Systems for monitoring the technical condition of facilities with a length of up to 75 km were
presented in [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. The measurement principle is based on the use of a laser diode with a wavelength of
light of 1480 nm. The WDM device then converts the optical signal into a signal with a wavelength of
1550 nm. The signal is then distributed through a circulator (CIR), amplified using an erbium-doped
optical amplifier (EDFA), a narrow-band laser (NLL) with a wavelength of 1550 nm, an
acousticoptical modulator and an EDFA optical amplifier, and through the next circulator (CIR) enters the Bragg
array and a photodetector from which information is received to the data collection card (DAC).
Piezoelectric transducers were used to determine vibration, to which a signal from the function
generator (FG) was applied.
      </p>
      <p>
        The results obtained during the study [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] demonstrate the device’s accuracy for objects with a length
of up to 75 km. Amplification schemes allow you to eliminate interference in a helpful signal; however,
the system for such objects may be inaccurate since the number of spatial points for random effects
increases.
      </p>
      <p>At the same time, well-known methods using interferometers are widely used since they are able to
work accurately, but traditional methods do not imply a solution to eliminate interference. The proposed
articles above offer solutions to eliminate interference caused by undesirable mechanical, and
temperature influences. At the same time, these systems are difficult to apply in a more complex
environment, where undesirable mechanical influences are not just natural, but also man-made. The
main disadvantages of the use of interferometers are their complexity, size, and cost, as well as the
small resolution of the receivers. In further studies, more optimal options are proposed for the
implementation of a cable protection system relative to the measuring device.</p>
      <p>
        The device designed by the authors does not use known solutions for the construction of fiber-optic
sensors: optical interferometry, reflectometry, fiber Bragg gratings, or long-period fiber gratings. A
quartz single-mode sensor of the G standard was used as a sensitive sensor.652. A light spot profile is
used to identify the impact on the sensor. The advantages of the developed system are the cost and the
possibility of practical implementation in mines, where the requirements for the safe operation of
systems and devices are increased.
b
Figure 10: Experimental scheme for ϕ-OTDR (a) and OTDR interferometry (b) [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]
      </p>
      <p>
        In [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ], fiber-optic sensors were developed to control the pressure measurement on the elements of
the shaft supports, and their design is shown in Figure 12.
      </p>
    </sec>
    <sec id="sec-4">
      <title>Application of artificial intelligence</title>
      <p>Machine learning in extended object monitoring systems with the fiber-optic sensor system is used
to eliminate interference and noise and improve operation parameters.</p>
      <p>
        In [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ], a neural network is proposed to eliminate unwanted disturbances and interference in
monitoring systems (interference caused by man, wind, mechanical overvoltage, and temperature)
ΦOTDR. The distributed security system detects human intrusion on oil or gas pipes, high-voltage cables,
and large structures. It is based on the method of fiber-optic sensing to detect and localize multiple
weak vibrations along the sensitive fiber. In the article, the interference is identified by distinguishing
the neighboring measuring trends of the optical signal for the Φ-OTDR system. Dynamic signals when
pulses are applied or their temporal sequence can also be obtained by accumulating periodic data
collection at different points [T1, T2, ..., TM] for each spatial point, and then the analysis of temporal
and spatial signals is performed, the results of the analysis demonstrate the development of alarming
events at certain points in time (Figure 13).
      </p>
      <p>Further, energy distribution coefficients are used to determine the event that occurred in the system.
These coefficients are obtained by decomposing the signals. When the disturbance increases, certain
coefficients increase, and an event can be identified by determining the growth. To separate the cause
of an alarming event, namely human intrusion, from environmental interference, a 3-layer neural BP
ANN is constructed. The BP ANN architecture is shown in Figure 14.</p>
      <p>
        The experiments showed the following results: Identification Rate (IR) - 89.19%, Probability of
Detection (PD) - 86.15%, and Nuisance Alarm Rate (NAR) - 1.75%. BP ANN accuracy rates are
inferior to solutions using other neural networks. The φ-OTDR zoonding systems use machine
learning based on a feature extractor that uses coincidence filtering (MF)to eliminate interference and
determine the nature of the impact in [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ]. This method reduces noise effects only in disturbances.
      </p>
      <p>The process of obtaining information about an alarming event is done by decomposing the optical
signal. To extract the features, the Level Crossing (LC), Short-Time Fast Fourier Transform (ST-FFT),
and Discrete Wavelet Transform (DWT) tools were used. The random forest (RF) algorithm was used
to classify perturbation regions. According to the results, the measurement error decreases with the
number of trends (Figure 15). The disadvantage of this method is that noise is reduced only
point-bypoint at the site of disturbances to reduce processing costs. In contrast, there are methods to reduce
interference and noise for the entire sensing system.</p>
      <p>The prediction is formed by the differential signal δ for each tth time data-vector:</p>
      <sec id="sec-4-1">
        <title>For every tth trace the equation is</title>
        <p>( ) =   ( ) −   +1( ),
  ( ) = 2 ∑ −=11 ∑ =     [sin(  −   ) − (  −   −   )],</p>
        <p>Where   and   are the phasor angles of Rayleigh backscattering signal (RBS) time data vectors
from the two regions of both location sides along with perturbation,   ,   are the amplitudes of the
according phases. The differential signal was acquired for the different numbers Y and Z of the samples
for each region. The phase   is the direct measurement of the particle displacement in the optic fiber
and consists of both primary and unwanted phases:</p>
        <p>= F(  +   ).</p>
        <p>Here F is the mapping function of the   ( ) representing the angle   through combination of the
  and   signals. Therefore, the correlation vector with consideration of the Spearman correlation
coefficient is
 [ ] = 1 −
6 ∑ =1(  ( )−  ( +1))</p>
        <p>2
  (  2−1)
,
(7)
where  varies from 1 to   − 1.</p>
        <p>
          In [
          <xref ref-type="bibr" rid="ref13">13</xref>
          ], a system using a neural network and a sensor based on fiber-optic distributed acoustic
sensing (FDA) was proposed. The system is based on phase-sensitive optical reflectometry in the time
domain (8-OTDR) with a low-fiber Bragg lattice (wFBG) for detecting partial discharges (PD) in power
cables. Partial discharge (PDC) precedes damage and destruction of insulation in power cables, so it is
important to recognize it early. The study proposes a PDC recognition method based on a convolutional
neural network (CNN) model to identify several types of PDC: internal PDC, coronal PDC, surface PD.
        </p>
        <p>PD signals were extracted by decomposition and reconstruction. Next, one-dimensional data on
PDC signals, which were collected by the sensing system, were transformed into two-dimensional maps
of time-frequency characteristics. Next, images of MFCC objects are sent to the CNN classification
model for recognition. The training time of the CNN model is reduced when using the characteristics
of PDC signals in the time frequency domain. Experimental results showed accuracy of 96.3%,
sensitivity - 96.4% and specificity - 98.7% achieved.</p>
        <p>The CNN model used a dataset with 10x cross-validation. The training set is divided into 10 parts,
832 test samples were used. Figure 16 shows the architecture of the CNN model. The architecture of
the CNN model consists of two convolutional layers. Both are followed by the top union layer.
Convolutional layers apply various filters to the input image to extract characteristic features, and
combining layers reduce the size of the output data of the convolutional layer. The efficiency of the
CNN model was evaluated by the average value of the obtained accuracy, sensitivity, and specificity,
the results obtained with the other six existing traditional methods. The CNN model has the best
accuracy indicators.</p>
        <p>
          In [
          <xref ref-type="bibr" rid="ref17">17</xref>
          ], a convolutional neural network in the φ-OTDR system is proposed to increase adaptability
and noise immunity. Using the digital image processing method, a training set for training a neural
network was obtained. Thus, correspondence was established between the initial data and the vibration
distribution. Three different types of vibration on a sensitive fiber were used to test the feasibility of the
deep learning temporal-spatial detection (DL-TSD) method.
        </p>
        <p>Due to continuous learning with the help of a training set, the neural network can match the input
image with the vibration distribution. The process of practical application also coincides with the testing
process. Pixel accuracy reaches 99.95%. DL-TSD also has adaptability and noise protection Figure 17
shows the process of testing and training DL-TSD
phase variation generated by the vibration</p>
        <p>The neural network was built on the proportion of the light intensity   collected at time  over the
intensity of probe pulse  0, scattering coefficient   , the phase of the  -th scattering center   and ∆
  ∝  02 ∑ =   + 2 02 ∑
 &gt; ∑

 =     cos⁡(  −   + ∆ ).</p>
        <p>(8)
(9)</p>
        <p>is
(10)
(11)
(12)
  ( ,  ,  ℎ) =</p>
        <p>(∑ ℎ(  − ∗    ℎ)( ,  )) =    (  − ( ,  ))</p>
        <p>Here   is the output of the  -th convolution operation,   is the  -th convolution kernel, 
the activation function,  ,  ,  ℎ is the row, column, and channel of  . The prediction  
on the two-dimensional temporal-spatial matrix  converted into gray-scale  
was made
. The mathematical
equation for the</p>
        <p>was acquired from  convolution operations:
 
( ,  ) =  (   ○    −1 ○ … ○   1 ( 
( ,  ))) =
was obtained from the mean square error:</p>
      </sec>
      <sec id="sec-4-2">
        <title>To negate the error from the noise the idealized results</title>
        <p>was used as labels. The loss function
dimensional temporal-spatial matrix  = [ 1,  2, … ,   ] .
convolutional operation was applied:</p>
        <p>The information the values collected through time for neural network was represented in the
twoThe encoding of the  through time and mapping to the high dimensional feature space the
(1 + 
(−  ( )( 
( , )))</p>
        <p>)
arg</p>
        <p>
          In [
          <xref ref-type="bibr" rid="ref18">18</xref>
          ], a method of time sequence recognition and knowledge mining based on hidden Markov
models (HMM) was proposed for the pipeline technical condition monitoring system by the OTDR
method. The results with experimental data from real tests showed 98.2% recognition accuracy. HMM
is a classic machine learning model, which has now lost relevance due to the predominance of deep
learning (RNN, LSTM) models.
        </p>
        <p>
          In [
          <xref ref-type="bibr" rid="ref19">19</xref>
          ] was used a machine learning method, when first the OTDR signal was processed with an
nth order difference suppressing the differential signal to solve the problem of low OTDR event detection
rate. The peaks of the differential signal are extracted to reduce the complexity of calculations. Next,
the objects are marked and sent to a machine learning-based classifier for offline learning. The trained
model is used for online forecasting to output detected events. The algorithm has been tested using 500
OTDR traces; the results show that the detection speed of connection events reaches 95% after 200
iterations.
        </p>
        <p>
          CNN models are a popular tool in constructing intelligent systems for monitoring the technical
condition of extended objects with and using fiber. So, in [
          <xref ref-type="bibr" rid="ref20">20</xref>
          ], when creating CNN, support vector
machines (SVMs) are used as a classifier, and also to visualize the CNN workflow, the methods are
used: T-distributed stochastic embedding of neighbors (T-SNE) and displaying the activity of classes
with a weighted gradient (Grad-CAM). The model of this CNN is shown in Figure 18.
        </p>
        <p>To work with the CNN +SVM model, 11,997 images were used for eight categories of events.
Experimental results showed a neural network accuracy of 94.17%. The work contains the largest
number of images used for training a neural network among all other works considered.</p>
        <p>
          The article [
          <xref ref-type="bibr" rid="ref21">21</xref>
          ] uses machine learning to differentiate data in a fiber-optic system with distributed
acoustic sensors (DAS) to recognize vibration events caused by human movement. DAS consists of
φOTDR and uses artificial Rayleigh scattering centers for amplification. This work also uses
convolutional deep neural networks to identify people’s actions and other events that produce acoustic
signals. Machine learning was used for training: controlled and non-controlled. Experimental results
demonstrate a 76.25% accuracy in recognizing human personalities by supervised machine learning
and more than 77.65% by using unsupervised machine learning. Currently, vibration event recognition
systems use machine learning and show higher recognition accuracy rates.
        </p>
        <p>
          To improve classification accuracy in systems using fiber optic based on C -OTDR technology
under challenging environmental conditions and interference, [
          <xref ref-type="bibr" rid="ref22">22</xref>
          ] proposed a multi-shot learning
classification method. This method is based on time series transmission and cyclic data processing.
With the lack of some minor types of samples required for target samples, the article's authors developed
the following procedure: all available data samples are converted into RGB images, using the
Melspectrum feature extractor; these images are suitable for entering into a deep learning network. Then
the amount of data using Time series transmission (TST) and CycleGAN increases. Further, the
extended data set is used as a training set for the trained AlexNet network (this network is trained in
advance). The experimental result of the proposed method showed an average accuracy of the
classification of secondary classes of the set of 79.28%. In [
          <xref ref-type="bibr" rid="ref23">23</xref>
          ], the average accuracy results were
improved; in this work, an event recognition method based on the low-frequency kepstrum coefficient
(MFCC), a superposition algorithm, was used. Experimental results based on 8185 samples from 8
event classifications show classification accuracy of 99.55% and 97.95% in two networks with different
depths. In [
          <xref ref-type="bibr" rid="ref24">24</xref>
          ], for a distributed fiber-optic perimeter security system based on Φ-OTDR for fiber
vibration recognition, the use of the time-frequency response (TFC) method is proposed. Several types
of probabilistic neural networks (PNNs) are used for this. As a result of experiments, with a detection
range of the system of 10 km, with a range of interference of 1 km, the accuracy of event recognition
is more than 95%. The probe response time is about 1.366 s. For distributed fiber-optic security systems,
such vibration detection accuracy is a good result.
        </p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Discussions</title>
      <p>
        According to the analyzed literature, the main problem in technical condition monitoring
systems is interference caused by mechanical overvoltages and temperature influences. So, in [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], the
solution to eliminate interference is to add EDFA and AOM to the system, as a result, the signal is
amplified, and the interference is attenuated. In [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], interference was eliminated by parallel AOM with
different bandwidth frequencies. It is worth noting that in other cases, the same methods were used,
except [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] and [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ], where other methods were used to eliminate interference, namely C-OTDR,
separating the signal into coherent and incoherent components and OTDR interferometry, respectively.
Thus, the accuracy was higher than when using standard reflectometry systems. The disadvantages of
these systems are the complexity of the system and the large size relative to the standard ones. Further
studies will consider systems with smaller sizes and simpler circuits. However, it is worth noting that
despite the principle of implementing measuring systems, intelligent systems capable of processing
complex graphics and images are needed for information processing.
      </p>
      <p>
        For very extended objects, as in [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ], the signal intensity will depend on many random parameters,
especially since such a system may be too sensitive to external influences from the movement of
machinery or people while considering that the intensity of the optical signal also depends on the purity
of the laser. Neural networks were used to process information and improve the recognition of noise
and external influences. Although the described variant with BF ANN [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] can increase the accuracy
in determining the nature and location of vibrations, the systems using CNN showed the most excellent
accuracy [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ], [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ], [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ]. The analysis of the results of different neural networks, shown in [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ], where
BP ANN (87%), SVM (85% and 92.9%), PNN (90.8%), CNN (96.3%), SRC (94.9%) were compared,
demonstrates well. It was also found that it is better to use a convolutional neural network to increase
adaptability and noise immunity [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ] and probabilistic neural networks to recognize fiber vibration
[
        <xref ref-type="bibr" rid="ref24">24</xref>
        ]. In further studies, based on this review, special systems will be developed to measure mechanical
deformations and vibrations with a smaller design and the cost of creating equipment. At the same time,
based on the analysis of the literature on measuring systems, it can be concluded that the optical fiber
is susceptible to small vibrations. For this reason, despite all possible ways to eliminate interference by
hardware, it is necessary to create a neural network capable of processing information from the received
graphs or images for accurate operation.
      </p>
    </sec>
    <sec id="sec-6">
      <title>6. Conclusion</title>
      <p>
        Distributed fiber-optic sensors based on the φ-OTDR principle have become widely used in
monitoring systems for the technical condition of extended objects with a length of up to 1 km. A
different approach is used for objects with a distance of up to 75 km [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. They can perceive information
about mechanical deformations and vibrations; however, although these solutions have been improved
by adding devices for signal polarization, which helps to exclude possible overlaps due to mechanical
overvoltages and temperature effects, they are not able to distinguish the type of vibration source,
thereby reacting to interference caused by the movement of people, animals, machinery. There are many
solutions, but most are performed using interferometry on the principle of φ-OTDR, a laser generating
optical signals with a wavelength of 1550 nm.
      </p>
      <p>
        However, such devices have the following disadvantages: instability to interference, large size, and
high cost. At the same time, it is worth noting that distributed sensors will be sensitive to minor
vibrations as the length of the sensing element increases [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]. Thus, the sensors can perceive false alarm
signals in the presence of human-created interference. To achieve the accuracy of the work, it is
necessary to use an intelligent system for recognizing the nature of the influence and determining its
location. Having analyzed the existing systems for monitoring the technical condition of extended
objects that contain fiber-optic sensors and use neural networks as an intellectual part, we can conclude
that the highest accuracy rates are shown by collapsing neural networks [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ].
      </p>
    </sec>
    <sec id="sec-7">
      <title>7. References</title>
    </sec>
  </body>
  <back>
    <ref-list>
      <ref id="ref1">
        <mixed-citation>
          [1]
          <string-name>
            <given-names>R.</given-names>
            <surname>Zinsou</surname>
          </string-name>
          ,
          <string-name>
            <given-names>Y.</given-names>
            <surname>Wang</surname>
          </string-name>
          ,
          <string-name>
            <given-names>X.</given-names>
            <surname>Liu</surname>
          </string-name>
          ,
          <string-name>
            <given-names>Q.</given-names>
            <surname>Bai</surname>
          </string-name>
          ,
          <string-name>
            <given-names>Y.</given-names>
            <surname>Wang</surname>
          </string-name>
          and
          <string-name>
            <given-names>B.</given-names>
            <surname>Jin</surname>
          </string-name>
          ,
          <article-title>"Adaptive Pulse Period Method for LowFrequency Vibration Sensing With Intensity-Based Phase-Sensitive OTDR Systems,"</article-title>
          <source>in IEEE Access</source>
          , vol.
          <volume>8</volume>
          , pp.
          <fpage>41838</fpage>
          -
          <lpage>41846</lpage>
          ,
          <year>2020</year>
          , doi: 10.1109/ACCESS.
          <year>2020</year>
          .2977000
        </mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation>
          [2]
          <string-name>
            <given-names>R.</given-names>
            <surname>Hong</surname>
          </string-name>
          et al.,
          <article-title>"Enlarging Dynamic Strain Range in UWFBG Array-Based Φ-OTDR Assisted With Polarization Signal,"</article-title>
          <source>in IEEE Photonics Technology Letters</source>
          , vol.
          <volume>33</volume>
          , no.
          <issue>18</issue>
          , pp.
          <fpage>994</fpage>
          -
          <lpage>997</lpage>
          , 15 Sept.
          <volume>15</volume>
          ,
          <year>2021</year>
          , doi: 10.1109/LPT.
          <year>2021</year>
          .3079186
        </mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation>
          [3]
          <string-name>
            <given-names>T.</given-names>
            <surname>Kumagai</surname>
          </string-name>
          ,
          <string-name>
            <given-names>S.</given-names>
            <surname>Sato</surname>
          </string-name>
          and
          <string-name>
            <given-names>T.</given-names>
            <surname>Nakamura</surname>
          </string-name>
          ,
          <article-title>"Fiber-optic vibration sensor for physical security system,"</article-title>
          <source>2012 IEEE International Conference on Condition Monitoring and Diagnosis</source>
          ,
          <year>2012</year>
          , pp.
          <fpage>1171</fpage>
          -
          <lpage>1174</lpage>
          , doi: 10.1109/CMD.
          <year>2012</year>
          .6416369
        </mixed-citation>
      </ref>
      <ref id="ref4">
        <mixed-citation>
          [4]
          <string-name>
            <surname>Minardo</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          ;
          <string-name>
            <surname>Catalano</surname>
            ,
            <given-names>E.</given-names>
          </string-name>
          ;
          <string-name>
            <surname>Coscetta</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          ;
          <string-name>
            <surname>Zeni</surname>
            ,
            <given-names>G.; Di</given-names>
          </string-name>
          <string-name>
            <surname>Maio</surname>
            ,
            <given-names>C.</given-names>
          </string-name>
          ;
          <string-name>
            <surname>Vassallo</surname>
            ,
            <given-names>R.</given-names>
          </string-name>
          ; Picarelli,
          <string-name>
            <given-names>L.</given-names>
            ;
            <surname>Coviello</surname>
          </string-name>
          ,
          <string-name>
            <surname>R.</surname>
          </string-name>
          ; Macchia,
          <string-name>
            <surname>G.</surname>
          </string-name>
          ;
          <article-title>Zeni, L. Long-Term Monitoring of a Tunnel in a Landslide Prone Area by Brillouin-Based Distributed Optical Fiber Sensors</article-title>
          .
          <source>Sensors</source>
          <year>2021</year>
          ,
          <volume>21</volume>
          , 7032. https://doi. org/10.3390/s21217032
        </mixed-citation>
      </ref>
      <ref id="ref5">
        <mixed-citation>
          [5]
          <string-name>
            <given-names>M.</given-names>
            <surname>Adeel</surname>
          </string-name>
          et al.,
          <article-title>"Impact-Based Feature Extraction Utilizing Differential Signals of Phase-Sensitive OTDR,"</article-title>
          <source>in Journal of Lightwave Technology</source>
          , vol.
          <volume>38</volume>
          , no.
          <issue>8</issue>
          , pp.
          <fpage>2539</fpage>
          -
          <lpage>2546</lpage>
          ,
          <fpage>15</fpage>
          <lpage>April15</lpage>
          ,
          <year>2020</year>
          , doi: 10.1109/JLT.
          <year>2020</year>
          .2966413
        </mixed-citation>
      </ref>
      <ref id="ref6">
        <mixed-citation>
          [6]
          <string-name>
            <given-names>A.</given-names>
            <surname>Masoudi</surname>
          </string-name>
          ,
          <string-name>
            <given-names>J. A.</given-names>
            <surname>Pilgrim</surname>
          </string-name>
          ,
          <string-name>
            <given-names>T. P.</given-names>
            <surname>Newson</surname>
          </string-name>
          and
          <string-name>
            <given-names>G.</given-names>
            <surname>Brambilla</surname>
          </string-name>
          ,
          <article-title>"Subsea Cable Condition Monitoring With Distributed Optical Fiber Vibration Sensor,"</article-title>
          <source>in Journal of Lightwave Technology</source>
          , vol.
          <volume>37</volume>
          , no.
          <issue>4</issue>
          , pp.
          <fpage>1352</fpage>
          -
          <lpage>1358</lpage>
          , 15 Feb.
          <volume>15</volume>
          ,
          <year>2019</year>
          , doi: 10.1109/JLT.
          <year>2019</year>
          .2893038
        </mixed-citation>
      </ref>
      <ref id="ref7">
        <mixed-citation>
          [7]
          <string-name>
            <given-names>P.</given-names>
            <surname>Rohwetter</surname>
          </string-name>
          ,
          <string-name>
            <given-names>R.</given-names>
            <surname>Eisermann</surname>
          </string-name>
          and
          <string-name>
            <given-names>K.</given-names>
            <surname>Krebber</surname>
          </string-name>
          ,
          <article-title>"Random Quadrature Demodulation for Direct Detection Single-Pulse Rayleigh C-OTDR,"</article-title>
          <source>in Journal of Lightwave Technology</source>
          , vol.
          <volume>34</volume>
          , no.
          <issue>19</issue>
          , pp.
          <fpage>4437</fpage>
          -
          <issue>4444</issue>
          , 1 Oct.1,
          <year>2016</year>
          , doi: 10.1109/JLT.
          <year>2016</year>
          .2557586
        </mixed-citation>
      </ref>
      <ref id="ref8">
        <mixed-citation>
          [8]
          <string-name>
            <given-names>C.</given-names>
            <surname>Wang</surname>
          </string-name>
          ,
          <string-name>
            <given-names>Y.</given-names>
            <surname>Shang</surname>
          </string-name>
          ,
          <string-name>
            <given-names>W. -A.</given-names>
            <surname>Zhao</surname>
          </string-name>
          ,
          <string-name>
            <given-names>X. -H.</given-names>
            <surname>Liu</surname>
          </string-name>
          ,
          <string-name>
            <given-names>C.</given-names>
            <surname>Wang and G. -D. Peng</surname>
          </string-name>
          ,
          <article-title>"Investigation and Comparison of Φ -OTDR and OTDR-Interferometry via Phase Demodulation,"</article-title>
          <source>in IEEE Sensors Journal</source>
          , vol.
          <volume>18</volume>
          , no.
          <issue>4</issue>
          , pp.
          <fpage>1501</fpage>
          -
          <lpage>1505</lpage>
          , 15 Feb.
          <volume>15</volume>
          ,
          <year>2018</year>
          , doi: 10.1109/JSEN.
          <year>2017</year>
          .
          <volume>2785358</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref9">
        <mixed-citation>
          [9]
          <string-name>
            <given-names>Z.</given-names>
            <surname>Sha</surname>
          </string-name>
          ,
          <string-name>
            <given-names>H.</given-names>
            <surname>Feng</surname>
          </string-name>
          ,
          <string-name>
            <given-names>Y.</given-names>
            <surname>Shi</surname>
          </string-name>
          ,
          <string-name>
            <given-names>W.</given-names>
            <surname>Zhang</surname>
          </string-name>
          and
          <string-name>
            <given-names>Z.</given-names>
            <surname>Zeng</surname>
          </string-name>
          ,
          <article-title>"Phase-Sensitive OTDR With 75-km Single-End Sensing Distance Based on RP-EDF Amplification,"</article-title>
          <source>in IEEE Photonics Technology Letters</source>
          , vol.
          <volume>29</volume>
          , no.
          <issue>16</issue>
          , pp.
          <fpage>1308</fpage>
          -
          <lpage>1311</lpage>
          , 15 Aug.
          <volume>15</volume>
          ,
          <year>2017</year>
          , doi: 10.1109/LPT.
          <year>2017</year>
          .2721963
        </mixed-citation>
      </ref>
      <ref id="ref10">
        <mixed-citation>
          [10]
          <string-name>
            <surname>Yugay</surname>
            ,
            <given-names>V.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Mekhtiyev</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Madi</surname>
            ,
            <given-names>P.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Neshina</surname>
            ,
            <given-names>Y.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Alkina</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Gazizov</surname>
            ,
            <given-names>F.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Afanaseva</surname>
            ,
            <given-names>O.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Ilyashenko</surname>
            ,
            <given-names>S.</given-names>
          </string-name>
          <article-title>Fiber-Optic System for Monitoring Pressure Changes on Mine Support Elements</article-title>
          .
          <source>Sensors</source>
          <year>2022</year>
          ,
          <volume>22</volume>
          , 1735. https://doi.org/10.3390/s22051735
        </mixed-citation>
      </ref>
      <ref id="ref11">
        <mixed-citation>
          [11]
          <string-name>
            <given-names>H.</given-names>
            <surname>Wu</surname>
          </string-name>
          ,
          <string-name>
            <given-names>S.</given-names>
            <surname>Xiao</surname>
          </string-name>
          ,
          <string-name>
            <given-names>X.</given-names>
            <surname>Li</surname>
          </string-name>
          ,
          <string-name>
            <given-names>Z.</given-names>
            <surname>Wang</surname>
          </string-name>
          ,
          <string-name>
            <given-names>J.</given-names>
            <surname>Xu</surname>
          </string-name>
          and
          <string-name>
            <given-names>Y.</given-names>
            <surname>Rao</surname>
          </string-name>
          ,
          <article-title>"Separation and Determination of the Disturbing Signals in Phase-Sensitive Optical Time Domain Reflectometry (Φ-OTDR),"</article-title>
          <source>in Journal of Lightwave Technology</source>
          , vol.
          <volume>33</volume>
          , no.
          <issue>15</issue>
          , pp.
          <fpage>3156</fpage>
          -
          <issue>3162</issue>
          , 1 Aug.1,
          <year>2015</year>
          , doi: 10.1109/JLT.
          <year>2015</year>
          .2421953
        </mixed-citation>
      </ref>
      <ref id="ref12">
        <mixed-citation>
          [12]
          <string-name>
            <surname>Adeel</surname>
            ,
            <given-names>M.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Tejedor</surname>
            ,
            <given-names>J.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Macias-Guarasa</surname>
            ,
            <given-names>J.</given-names>
          </string-name>
          , &amp;
          <string-name>
            <surname>Lu</surname>
            ,
            <given-names>C.</given-names>
          </string-name>
          (
          <year>2019</year>
          ).
          <article-title>Improved Perturbation Detection in Direct Detected ϕ-OTDR Systems using a Novel Match Filtering Approach</article-title>
          .
          <source>IEEE Photonics Technology Letters</source>
          ,
          <fpage>1</fpage>
          -
          <lpage>1</lpage>
          . doi:
          <volume>10</volume>
          .1109/lpt.
          <year>2019</year>
          .2940297
        </mixed-citation>
      </ref>
      <ref id="ref13">
        <mixed-citation>
          [13]
          <string-name>
            <surname>Che</surname>
            ,
            <given-names>Q.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Wen</surname>
            ,
            <given-names>H.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Li</surname>
            ,
            <given-names>X.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Peng</surname>
            ,
            <given-names>Z.</given-names>
          </string-name>
          , &amp;
          <string-name>
            <surname>Chen</surname>
            ,
            <given-names>K. P.</given-names>
          </string-name>
          (
          <year>2019</year>
          ).
          <article-title>Partial Discharge Recognition Based on Optical Fiber Distributed Acoustic Sensing and a Convolutional Neural Network</article-title>
          .
          <source>IEEE Access</source>
          ,
          <volume>7</volume>
          ,
          <fpage>101758</fpage>
          -
          <lpage>101764</lpage>
          . doi:
          <volume>10</volume>
          .1109/access.
          <year>2019</year>
          .2931040
        </mixed-citation>
      </ref>
      <ref id="ref14">
        <mixed-citation>
          [14]
          <string-name>
            <surname>Neftissov</surname>
            ,
            <given-names>A.V.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Andreyeva</surname>
            ,
            <given-names>O.A.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Sarinova</surname>
            ,
            <given-names>A.Z.</given-names>
          </string-name>
          <article-title>Investigation of the properties of reed switches in devices for resource-saving relay protection of the electrical part of power plants (</article-title>
          <year>2021</year>
          ) AIP Conference Proceedings,
          <volume>2337</volume>
          , 030010 DOI: 10.1063/5.0046558
        </mixed-citation>
      </ref>
      <ref id="ref15">
        <mixed-citation>
          [15]
          <string-name>
            <surname>Neftisov</surname>
            ,
            <given-names>A.V.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Talipov</surname>
            ,
            <given-names>O.M.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Andreeva</surname>
            ,
            <given-names>O.A.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Kirichenko</surname>
            ,
            <given-names>L.N.</given-names>
          </string-name>
          <article-title>Determination of changes in the parameters of reed switches in resource-saving relay protection devices of the electrical part of power plants (</article-title>
          <year>2022</year>
          <source>) Journal of Physics: Conference Series</source>
          ,
          <volume>2211</volume>
          (
          <issue>1</issue>
          ), №
          <fpage>012017</fpage>
          . DOI:
          <volume>10</volume>
          .1088/
          <fpage>1742</fpage>
          -6596/2211/1/012017
        </mixed-citation>
      </ref>
      <ref id="ref16">
        <mixed-citation>
          [16]
          <string-name>
            <given-names>Zh</given-names>
            <surname>Sarinova</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A.</given-names>
            ,
            <surname>Drobinsky</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A.V.</given-names>
            ,
            <surname>Kirichenko</surname>
          </string-name>
          ,
          <string-name>
            <surname>L.N.</surname>
          </string-name>
          <article-title>Investigation of the Operating Parameters of Rectifier Devices Using Modern Software Tools (</article-title>
          <year>2022</year>
          ) Journal of Physics: Conference Series,
          <volume>2211</volume>
          (
          <issue>1</issue>
          ), 012023 DOI: 10.1088/
          <fpage>1742</fpage>
          -6596/2211/1/012023
        </mixed-citation>
      </ref>
      <ref id="ref17">
        <mixed-citation>
          [17]
          <string-name>
            <surname>Wang</surname>
            ,
            <given-names>P.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Lv</surname>
            ,
            <given-names>Y.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Wang</surname>
            ,
            <given-names>Y.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Liu</surname>
            ,
            <given-names>X.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Bai</surname>
            ,
            <given-names>Q.</given-names>
          </string-name>
          , Zhang,
          <string-name>
            <given-names>H.</given-names>
            , &amp;
            <surname>Jin</surname>
          </string-name>
          ,
          <string-name>
            <surname>B.</surname>
          </string-name>
          (
          <year>2020</year>
          ).
          <article-title>Adaptability and Antinoise Capacity Enhancement for OTDR with Deep Learning</article-title>
          .
          <source>Journal of Lightwave Technology</source>
          ,
          <fpage>1</fpage>
          -
          <lpage>1</lpage>
          . doi:
          <volume>10</volume>
          .1109/jlt.
          <year>2020</year>
          .3016712
        </mixed-citation>
      </ref>
      <ref id="ref18">
        <mixed-citation>
          [18]
          <string-name>
            <surname>Wu</surname>
            ,
            <given-names>X.</given-names>
          </string-name>
          <string-name>
            <surname>Liu</surname>
            ,
            <given-names>Y.</given-names>
          </string-name>
          <string-name>
            <surname>Xiao</surname>
            and
            <given-names>Y.</given-names>
          </string-name>
          <string-name>
            <surname>Rao</surname>
          </string-name>
          ,
          <article-title>"A Dynamic Time Sequence Recognition and Knowledge Mining Method Based on the Hidden Markov Models (HMMs) for Pipeline Safety Monitoring With Φ- OTDR,"</article-title>
          <source>in Journal of Lightwave Technology</source>
          , vol.
          <volume>37</volume>
          , no.
          <issue>19</issue>
          , pp.
          <fpage>4991</fpage>
          -
          <issue>5000</issue>
          , 1 Oct.1,
          <year>2019</year>
          , doi: 10.1109/JLT.
          <year>2019</year>
          .2926745
        </mixed-citation>
      </ref>
      <ref id="ref19">
        <mixed-citation>
          [19] .
          <string-name>
            <given-names>Z.</given-names>
            <surname>Yang</surname>
          </string-name>
          ,
          <string-name>
            <given-names>D.</given-names>
            <surname>Hong</surname>
          </string-name>
          ,
          <string-name>
            <given-names>X.</given-names>
            <surname>Feng</surname>
          </string-name>
          and
          <string-name>
            <given-names>J.</given-names>
            <surname>Xie</surname>
          </string-name>
          ,
          <article-title>"A Novel Event Detection Method for OTDR Trace with High Sensitivity Based on Machine Learning,"</article-title>
          <source>2021 2nd Information Communication Technologies Conference (ICTC)</source>
          ,
          <year>2021</year>
          , pp.
          <fpage>265</fpage>
          -
          <lpage>269</lpage>
          , doi: 10.1109/ICTC51749.
          <year>2021</year>
          .9441614
        </mixed-citation>
      </ref>
      <ref id="ref20">
        <mixed-citation>
          [20] 16 Shi,
          <string-name>
            <given-names>Y.</given-names>
            ,
            <surname>Wang</surname>
          </string-name>
          ,
          <string-name>
            <given-names>Y.</given-names>
            ,
            <surname>Wang</surname>
          </string-name>
          ,
          <string-name>
            <given-names>L.</given-names>
            ,
            <surname>Zhao</surname>
          </string-name>
          ,
          <string-name>
            <given-names>L.</given-names>
            , &amp;
            <surname>Fan</surname>
          </string-name>
          ,
          <string-name>
            <surname>Z.</surname>
          </string-name>
          (
          <year>2020</year>
          ).
          <article-title>Multi-event classification for Φ- OTDR distributed optical fiber sensing system using deep learning and support vector machine</article-title>
          .
          <source>Optik</source>
          ,
          <volume>221</volume>
          , 165373. doi:
          <volume>10</volume>
          .1016/j.ijleo.
          <year>2020</year>
          .
          <volume>165373</volume>
           
        </mixed-citation>
      </ref>
      <ref id="ref21">
        <mixed-citation>
          [21]
          <string-name>
            <surname>Peng</surname>
            ,
            <given-names>Z.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Wen</surname>
            ,
            <given-names>H.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Jian</surname>
            ,
            <given-names>J.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Gribok</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Wang</surname>
            ,
            <given-names>M.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Huang</surname>
            ,
            <given-names>S.</given-names>
          </string-name>
          , Liu,
          <string-name>
            <given-names>H.</given-names>
            ,
            <surname>Mao</surname>
          </string-name>
          ,
          <string-name>
            <given-names>Z.-H.</given-names>
            ,
            <surname>Chen</surname>
          </string-name>
          ,
          <string-name>
            <surname>K.P.</surname>
          </string-name>
          <article-title>Identifications and classifications of human locomotion using Rayleigh-enhanced distributed fiber acoustic sensors with deep neural networks (2020) Scientific Reports</article-title>
          ,
          <volume>10</volume>
          (
          <issue>1</issue>
          ), №
          <fpage>21014</fpage>
          , DOI: 10.1038/s41598-020-77147-2
        </mixed-citation>
      </ref>
      <ref id="ref22">
        <mixed-citation>
          [22]
          <string-name>
            <surname>Shi</surname>
            , Yia;Dai, Shangweia;Liu, Xinyua;Zhang, Yingchaoa;Wu, Xinjiea;Jiang,
            <given-names>Taoa.</given-names>
          </string-name>
          <article-title>Event recognition method based on dual-augmentation for an Φ-OTDR system with a few training samples</article-title>
          .
          <source>Journal of Optical Communications and Networking. May</source>
          <year>2022</year>
          . vol
          <volume>14</volume>
          , no 5, pp 365
          <fpage>DOI10</fpage>
          .1364/OE.468779
        </mixed-citation>
      </ref>
      <ref id="ref23">
        <mixed-citation>
          [23]
          <string-name>
            <surname>Shi</surname>
            ,
            <given-names>Y.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Liu</surname>
            ,
            <given-names>X.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Wei</surname>
            ,
            <given-names>C.</given-names>
          </string-name>
          <article-title>An event recognition method based on MFCC, superposition algorithm and deep learning for buried distributed optical fiber sensors (</article-title>
          <year>2022</year>
          ) Optics Communications,
          <volume>522</volume>
          ,№ 128647 DOI: 10.1016/j.optcom.
          <year>2022</year>
          .128647
        </mixed-citation>
      </ref>
      <ref id="ref24">
        <mixed-citation>
          [24]
          <string-name>
            <given-names>Tabi</given-names>
            <surname>Fouda</surname>
          </string-name>
          ,
          <string-name>
            <given-names>B. M.</given-names>
            ,
            <surname>Han</surname>
          </string-name>
          ,
          <string-name>
            <given-names>D.</given-names>
            ,
            <surname>An</surname>
          </string-name>
          ,
          <string-name>
            <given-names>B.</given-names>
            , &amp;
            <surname>Chen</surname>
          </string-name>
          ,
          <string-name>
            <surname>X.</surname>
          </string-name>
          (
          <year>2020</year>
          ).
          <article-title>Research and Software Design of an Φ- OTDR-Based Optical Fiber Vibration Recognition Algorithm</article-title>
          .
          <source>Journal of Electrical and Computer Engineering</source>
          ,
          <year>2020</year>
          ,
          <fpage>1</fpage>
          -
          <lpage>13</lpage>
          . doi:
          <volume>10</volume>
          .1155/
          <year>2020</year>
          /5720695
        </mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>