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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Analog and Digital RoF Spatial Mux MIMO-LTE System based A2</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Irfan Ahmad Rather</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Gulshan Kumar</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Rahul Saha</string-name>
          <email>rsahaaot@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>School of Computer Science and Engineering, Lovely Professional University</institution>
          ,
          <addr-line>Phagwara, Punjab</addr-line>
          ,
          <country country="IN">India</country>
        </aff>
      </contrib-group>
      <fpage>86</fpage>
      <lpage>101</lpage>
      <abstract>
        <p>Multiple input multiple output-long term evolution (MIMO-LTE) with radio over fiber (RoF) link is an emerging technology for the next generation wireless network including 5G. In next generation (NG) network requires huge data rates to transmit the data in a wireless channel. Thus, efficient transmission and high data rate is considered as the essential requirement in MIMO system. Hence, RoF technology is introduced to improve the reliability of the 5G wireless communication (WC). In this research, each antenna deals with 800 MHz 5G signal (totally 3.2GHz) having 64 bit quadrature amplitude modulation (QAM). In addition to this, a 70Km of standard single mode fibre (SSMF) is introduced for broadband wireless signal transportation and distributed applications. Moreover, utilization of band pass sampling takes place and defined the model to degrade the bandwidth requirement in RoF link. The performance is analysed for both digital RoF (D-RoF) and conventional analog RoF (A-RoF)). The optimal transmission condition of the RoF fronthaul system in MIMO system is also analysed. To optimize the transmission condition of the link RoF, the bias current and power transmission is optimized using arithmetic Aquila optimization strategy. The entire work is implemented in MATLAB tool. The performance measures such as and eye opening penalty (EOP), error vector magnitude (EVM) and signal to noise ratio (SNR) are analysed for both DRoF and A-RoF systems. In experimental scenario, the D-RoF and A-RoF has the EVM of 1.45% and 1.13%, EOP of 51.19dB and 51dB, SNR of 27dB and 26dB, computation time of 0.14s are attained. The experimental analysis is compared with existing techniques such as Aquila optimizer (AO), chimp optimization (CO), remora optimization (RO) and particle swarm optimization algorithm to prove the efficiency of the proposed method. MIMO-LTE, RoF link, 5G network, arithmetic Aquila optimization, band pass sampling, EVM</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>The MIMO technology play an important role in 4G long term evolution (LTE) systems to achieve
high data rates in both uplink and downlink channels [1]. The MIMO-LTE system uses multiple antenna
at the transmitter and receiver side to enhance the capacity of the system [2]. In addition, the MIMO
system prevents the high usage of bandwidth and power compared to SISO communication systems
[3]. In MIMO-LTE system, cloud radio access network (C-RAN) is highly recommended to increase
the capacity of the system [4]. The C-RAN system works based on the baseband unit (BBU) with
different standards of the processing signals [5]. Generally, MIMO-LTE systems uses RoF links to
enhance the connection between BBU and remote radio heads (RRH) [6].</p>
      <p>The MIMO-LTE with RoF links uses very high broad bandwidth with low power loss as they are
highly suffered due to some non-linear distortions [7]. However, these distortions are due to fiber
dispersion as well as the electrical to optical and optical to electrical conversions [8]. This drawback</p>
      <p>2022 Copyright for this paper by its authors.
leads to failure in spectrum re-development and it is said to be adjacent channel interference (ACI) [9].
Now-a-days, the usage of OFDM based LTE or LTE-A systems provides major advancements in
overcoming the wireless channel distortions [10]. But it is highly prone to distortion because of high
peak to signal noise ratio (PAPR) during signal addressing. Recently, there are many studies undertaken
to understand the MIMO-LTE systems performance that pays more attention to the transceiver signals
[11].</p>
      <p>Commonly, some of the quadrature phase imbalance (I/Q) may occur in space time diversity systems
[12]. This can be analyzed at the prior stage without the use of non-linearity in the transmitter section.
Before data transmission, some of the typical crosstalk arises and it must be deeply analyzed using
MIMO schemes [13]. Using couplers in the RF transmitter, the crosstalk is continuously analyzed
without the use of real framework of the MIMO schemes. Generally, the data transmission in MIMO
system takes place with the same local oscillator (LO) thus the power consumption is highly reduced.
In MIMO RoF systems, double sideband frequency translation (DSB-FT) and single sideband
frequency translation (SSSB) approach is used for cost reduction [14]. This approach works based on
the principle of two MIMO channels that utilizes same LO. In SSB frequency translation system,
filtering technique is introduced to prevent the loss of power in the LSBs and USBs [15].</p>
      <p>The recent trend in 5G wireless communication proves that integration of several communication
structures, vehicular proximities and switching techniques has become more important. The MIMO
techniques enhances the communication performance by enhancing the speed of transmission, bit rate,
and capacity of the channel. MIMO usually takes multipath propagation by enabling various antennas
in the transmitter and receiver side. However, the 5G technology had been emerged in late 2020 and it
mainly enhances the capacity and spectral efficiency of the MIMO-LTE systems. In order to enhance
the signal performance and fast transmission, MIMO is introduced into the LTE system. In traditional
coaxial cable, high data losses may arise and the best solution is the introduction of RoF link in the
MIMO-LTE systems. Furthermore, the presence of optical fiber produces broad bandwidth and
immunity to electromagnetic interference. Only minor researches had been undertaken for improving
the transmission capacity of MIMO-LTE RoF link. But these technique lacks to provide the
transmission capacity in the MIMO system. Hence, an effective approach is required to enhance the
transmission capacity of the MIMO-LTE system. These kinds of major drawbacks motivate us to
develop an enhanced approach for improving the transmission capacity of the MIMO-LTE systems. In
this research, the 4  4 MIMO LTE 5G signal of about 3.2 GHz with 64-QAM over 70Km of SSMF is
introduced to transmit the data in distributed applications. In addition, band pass sampling is
emphasized to reduce the overall requirement of bandwidth (BW) in the RoF link. In order to enhance
the transmission condition, bias current and the power transmission is optimized using A2 optimization
approach. The major contribution of the proposed work is clearly depicted below:
•
•
•
•
•
•
•</p>
      <p>This research mainly aims to enhance the transmission condition of the RoF Spatial Mux
MIMO-LTE System.</p>
      <p>A 4  4 MIMO LTE system with 3.2GHz 5G signal having 64-QAM over 70Km of SSMF is
introduced to enhance the transmission condition of the system.</p>
      <p>To reduce the BW requirement, band pass sampling is performed in the RoF link.</p>
      <p>To analyze the performance based on conventional A-RoF and D-RoF.</p>
      <p>For optimizing bias current and power transmission, A2 optimization strategy is emphasized in
the proposed approach.</p>
      <p>The performance of the proposed method is analysed using MATLAB software tool.
The performance measures such as EVM, SNR and EOP are analyzed for both D-RoF and
ARoF systems.</p>
      <p>The rest of the paper is organized in the following manner. Literature survey is described in section
2. The MIMO system model is discussed in Section 3. Proposed method is explained in Section 4. More
precisely, it explains the optimization algorithm used in this work. In Sections 5 and 6, the simulation
results and conclusion are provided, respectively.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Literature Survey</title>
      <p>Carlos et al. [16] had defined the evaluation of non-linear effects in a RoF Spatial Mux MIMO-LTE
Fronthaul system. This method mainly helps examine the RoF link's transmission quality for the MIMO
system. By altering the laser bias current and the input signal power, the transmission circumstances
can be minimized in RoF fronthaul system. The carrier frequency was set to 2.65GHz with the band 7
in LTE standard. The bias current was properly evaluated by reducing the ACPR and the EVM. In the
experimental scenario, the ACPR attained was about -43.7 for the bias current of 25mA in QPSK
modulation. However, this method suffered from high attenuation in the MIMO RoF link.</p>
      <p>Mateo et al. [17] studied the RoF spatialMux MIMO-LTE fronthaul system for transmission
parameter selection using optimization algorithm. In this method, nelder-mead optimization algorithm
was introduced to overcome the transmission circumstances in the MIMO system. This algorithm helps
optimize the signal power and the bias current in the lasers for varying iterations. The experiment was
carried out via the MIMO IMD RoF system, in which each MIMO signal was multiplexed. The signals
and the carrier frequency were estimated based on the LTE property. The maximum EVM attained
about 1.85% in the experimental scenario for 11 iterations in QPSK modulation. However, this method
suffered due to high SNR and interference.</p>
      <p>Hafez et al. [18] had defined the transmit diversity and spatial multiplexing MIMO techniques in
LTE cell edge coverage areas. In this method, the working of transmit antenna diversity and spatial
multiplexing for the proposed MIMO-LTE system is clearly explained. Separate analysis have been
undertaken for both 2  2 and 4  4 MIMO-LTE systems. To analyse the performance of the MIMO
system, MATLAB tool was used. In experimental scenario, the throughput of 100% was obtained for
the SNR of -5dB. However, this method was suffered due to high data loss and poor spectral efficiency.</p>
      <p>Kanesan et al. [19] investigated an alternative system to 2  2 MIMO for LTE over 60Km RoF link.
In this method, QPSK, 16 bit QAM and 64 bit QAM was manipulated as single carrier frequency (SCM)
based on LTE standard. This technique can be modulated by introducing FDM into the orthogonal
FDM. In order to prevent data losses in the MIMO system, 60km RoF link was introduced. In
experimental scenario, the EVM attained about 5.8%, 5.9% and 5.97% for QPSK, 16-QAM, 64-QAM
system. However, this method shows low capacity when the density of the user gets increased.</p>
      <p>Kim et al. [20] had introduced MIMO RoF system and its applications in mm wave-based indoor
5G WCs. In this method, RoF based distributed antenna system (DAS) was experimentally carried out
using OTA interface on the4 basis of broadband 5G signal. For MIMO system modulation, 256-bit
QAM was utilized. The MIMO based 5G system was in cooperated with the mm wave-based Korea
telecom (KT) for achieving high throughput. In experimental scenario, the EVM attained about 4% for
2Km RoF link. However, this method was suffered due to high transmission delay and computational
complexity.</p>
    </sec>
    <sec id="sec-3">
      <title>2.1. Problem Formulation</title>
      <p>From the deep analysis of the aforementioned related works, the existing techniques are highly
suffered due to major drawbacks such as high transmission circumstance, computational complexity,
channel fading etc. In [16], ROF spatial Mux MIMO-LTE Fronthaul system transmission parameter
selection with optimization algorithm was introduced by the author. But this method was badly affected
due to channel fading because of high interference. In [17], evaluation of non-linear effects in a RoF
Spatial Mux MIMO-LTE Fronthaul system was defined by the author. This system causes high
fluctuation when the bias current increases. In [18], the author introduced the performance analysis of
transmit diversity and spatial multiplexing MIMO techniques in LTE cell edge coverage areas. Even
though advanced technique was introduced this method affected due to high power consumption and
time complexity. In [19], the author defined the theoretical and experimental design of an alternative
system to 2  2 MIMO for LTE over 60Km RoF link. But this method was limited due to high data loss
and produces low performance quality. In [20], MIMO-supporting RoF system and its applications in
mm wave-based indoor 5G mobile network was introduced by the author. But these techniques high
EVM which are practically not suitable in real time applications.</p>
    </sec>
    <sec id="sec-4">
      <title>3. Analog and Digital RoF Spatial Mux MIMO-LTE System model</title>
      <p>In WC system, the data rates can be enhanced by increasing the signal power received in the
communication link. However, the signal power received can be increased by introducing MIMO
system into the WCs. Some of the present standards like LTE or LTE-A are mainly responsible for
maximizing the rate of data. In system like LTE, each antenna develops the resource grid by generating
and transmitting the OFDM symbols and signals respectively. The data rates can be improved by
extending the multiple antenna with the rid of modes in the MIMO system.</p>
      <p>There are four types of transmission modes in the LTE standards namely receiver combination,
spatialMux, TxDiversity, and beamforming. In spatialMux, the system transmits the signal
independently on different antennas. In TxDiversity, the redundant data is transmitted on various
antenna without increasing the data rate. The spatialMux mode have the ability to enhance the data rate
and it is directly proportional to the number of transmit antennas. Moreover, the layer mapping
operation is performed that converts the data into layers. This operation is done until the layer
demapping which is same as the single MIMO antenna. After, demodulation process MIMO system
undergoes pair of operations. If any one of the signal gets distorted, other signals also gets affected
during demodulation process.</p>
    </sec>
    <sec id="sec-5">
      <title>4. Proposed methodology</title>
      <p>In 5G communication system, huge data rates are required to transmit the data in MIMO-LTE
system. As a result, more transmission circumstances arises in the MIMO RoF system. Hence, this
research mainly aims to enhance the transmission condition of the RoF Spatial Mux MIMO-LTE
System. A 4  4 MIMO LTE system with 3.2GHz 5G signal having 64-QAM over 70Km of SSMF is
introduced for signal transmission. Moreover, band pass sampling is emphasized to reduce the overall
BW requirement in the RoF link. In order to find the best value for transmission condition, bias current
and transmitted power need to be optimized. Here, A2 optimization strategy is introduced to optimize
the bias current and transmitted power. The performances are analysed under A-RoF and D-RoF using
MATLAB tool.</p>
    </sec>
    <sec id="sec-6">
      <title>4.1. Hybrid A2 Algorithm</title>
      <p>During exploration phase, the individual AO swarm perform fast flight and hunting in the search
space. According to the global best solution, position of individual gets updated and that leads to greater
convergence and strong searching capability. However, the individual has low capability of escaping
from the local optima. Hence, the individual gets easily trapped into the local optima. In experimental
scenario, the multiplication and division operator in the exploration stage is too low and thus results in
insufficient population diversity. Moreover, the switching mechanism for both exploration and
exploitation phase is not good and to overcome this AO and AOA algorithm needs to be hybridized.</p>
      <p>Based on the four predation stages, the prey is caught by each AO swarms.</p>
      <p>s</p>
      <p>S</p>
      <p>First stage: In this stage, the Aquila will fly in the hunting location with the high altitude. This helps
to search the food and find the target more efficiently. After the prey is found, it with fly vertically to
catch the prey and its behaviour is mathematically formulated as,</p>
      <p>
        Y (s + 1) = Ybest (s)  (1 −
) + (YN (s) − Ybest (s)  rand)
(
        <xref ref-type="bibr" rid="ref13">13</xref>
        )
      </p>
      <p>Here, Y (s + 1) indicates the individual position at (s + 1) iteration, Ybest (s) indicates the present
global best solution at s − th iteration. Also, s and S demonstrates the present s − th iteration and the
maximum iteration count, (YN (s) indicates the average position of current individual during present
iteration and rand represents the random Gaussian distribution between the interval 0 and 1.</p>
      <p>Second stage: In this stage, the Aquila will divert its flying from high altitude to levitate its prey
head. This helps to prepare the Aquila to instinct the predation behaviour. The updated position is
mathematically formulated as,</p>
      <p>Y (s + 1) = Ybest (s)  LF (W ) + Yr (s) + (v − u)  rand)</p>
      <p>Here, Yr (s) indicates the Aquila’s random position, W indicates the width size, LF indicates the
levy flight function, v and u indicates the search shape and it is mathematically formulated as,
u = (n1 + 0.0056 W1 )  sin(− W1 + 32 ) 
 
v = (n1 + 0.0056 W1 )  cos(− W1 + 32 )
LF (u) = 0.001</p>
      <p>1
  
     
  (1 +  )  sin  
 , =    2  
 1   (1 +  )    2 2−1  </p>
      <p>  2  </p>
      <p>Here, n1 indicates the number of search cycles starting from 1 to 20, W1 represents the random integer
starting from 1 to width W and  represents the constant that have the value of 0.005.</p>
      <p>Third stage: In this stage, the Aquila begin to discover and establish an approximate prey’s location.
Then, the Aquila will decline vertically for primary predation to reduce the speed of the prey. The
mathematical expression for initial predation behaviour is given as,</p>
      <p>Y(s +1) = (Ybest (s) − YN (s))  − rand + ((UL − LL)  rand + LL) </p>
      <p>Here,  and  indicates the adjustment parameters with the fixed value of 0.1, UL and LL
demonstrates the upper and lower limit of the searching space respectively.</p>
      <p>Final stage: In this stage, the Aquila reaches the land area to follow the prey to chase and attack the
prey. The predation behaviour of the Aquila is mathematically formulated as,</p>
      <p>Y (s + 1) = (QF  Ybest (s) − (M1  Y (s)  rand) − M 2  LF (W ) + rand  M1</p>
      <p>2rand −1
QF (s) = s (1−S )2
M 1 = 2rand − 1 
 
  s 
M 2 = 2  1 − 
  S </p>
      <p>Here, QF represents the quality function of the search strategy, M1 denotes the random movement
of tracking the Aquila’s prey under the range [−1,1] and M 2 indicates the gradient flight for tracking
Aquila’s prey.</p>
      <p>Here,  denotes the compact integer and  manipulates the control parameter for search process and
it have the fixed value of 0.5. Also, mop indicates the math optimizer probability,  indicates the
sensitive coefficient that helps to represent the development accuracy with the fixed value of 5, moa
indicates the math optimizer acceleration that helps to choose the search space, max and min
indicates the maximum and minimum values for acceleration function.</p>
      <p>In the second stage, high density results are generated with the aid of subtraction and addition
operations. These two operators have less dispersion and are easy to reach the destination place. Hence,
these operators are emphasized into the exploration stage and it is mathematically formulated as,
Ybest (s) − mop  ((UL − LL)   + LL
Y (s + 1) = 
Ybest (s) + mop  ((UL − LL)   + LL)</p>
      <p>
        In exploration phase, the arithmetic operators such as division and multiplication operation are used
to generate highly distributed values. It is more accurate and hence the highly distributed values does
satisfy to reach the target easily. The main property of these two operators are highly recommended for
the search space. It can be mathematically formulated as,
(
        <xref ref-type="bibr" rid="ref22">22</xref>
        )
(
        <xref ref-type="bibr" rid="ref23">23</xref>
        )
(
        <xref ref-type="bibr" rid="ref24">24</xref>
        )
(25)
      </p>
      <p>The hybrid A2 algorithm gives the optimum transmission circumstances in the environment of the
assessed system, which satisfy arg min EVM (Ibias1, Ibias2 , Pin ) .The input signal power (Pin ) is set between
-35 and -20 dBm, and both branches bias currents (I bias1and I bias 2 ) are set between 20 and 80 mA in
order to avoid the threshold limit and the saturation region.</p>
      <p>Fitnessvalue = arg min EVM (I bias1 , I bias2 , Pin )</p>
      <p>
        Let us assume the difference for equation (
        <xref ref-type="bibr" rid="ref13">13</xref>
        ), (
        <xref ref-type="bibr" rid="ref14">14</xref>
        ), (
        <xref ref-type="bibr" rid="ref21">21</xref>
        ) and (
        <xref ref-type="bibr" rid="ref23">23</xref>
        ), the individuals of AO swarms
would process more random search than individual of AOA swarms. The mathematical calculations for
the exploitation phase is presented in the equation (
        <xref ref-type="bibr" rid="ref17">17</xref>
        ), (
        <xref ref-type="bibr" rid="ref18">18</xref>
        ), (
        <xref ref-type="bibr" rid="ref21">21</xref>
        ) and (
        <xref ref-type="bibr" rid="ref23">23</xref>
        ), the individual of AO swarm
works worse compared to individuals of AOA swarms. The exploitation capacity of the individual AOA
swarms are low compared to individuals in AO swarms. It would be better when the individuals of AO
swarms in the exploration phase is hybrid with individuals of AOA swarms in the exploitation phase.
Figure (
        <xref ref-type="bibr" rid="ref1">1</xref>
        ) illustrates the flowchart of A2 algorithm
      </p>
      <sec id="sec-6-1">
        <title>Pseudo code for hybrid A2 algorithm</title>
        <p>
          Step 1: Set population size M
Step 2: Set the maximum number of iteration as S
Step 3: Set width as W
Step 4: Initialize the individual
Yx ( x = 1,2,...., M )
position
as
While (s  S )
Update mop and moa with the aid of Equation (
          <xref ref-type="bibr" rid="ref13">13</xref>
          )
Update , v and u with the aid of Equation (
          <xref ref-type="bibr" rid="ref15">15</xref>
          )
Step 5: For x = 1: M
If   1
Step 6: If rand  0.5
Update position of Y (s +1) with the aid of Equation (
          <xref ref-type="bibr" rid="ref13">13</xref>
          )
        </p>
        <sec id="sec-6-1-1">
          <title>Else</title>
          <p>
            Update position of Y (s +1) with the aid of Equation (
            <xref ref-type="bibr" rid="ref14">14</xref>
            )
End if
          </p>
        </sec>
      </sec>
      <sec id="sec-6-2">
        <title>Step 7: If rand  moa</title>
        <p>
          If rand  0.5
Update position of Y (s +1) with the aid of Equation (
          <xref ref-type="bibr" rid="ref21">21</xref>
          )
        </p>
        <sec id="sec-6-2-1">
          <title>Else</title>
          <p>
            Update position of Y (s +1) with the aid of Equation (
            <xref ref-type="bibr" rid="ref21">21</xref>
            )
End if
          </p>
        </sec>
        <sec id="sec-6-2-2">
          <title>Step 8: Else</title>
          <p>
            If rand  0.5
Update position of Y (s +1) with the aid of Equation (
            <xref ref-type="bibr" rid="ref23">23</xref>
            )
          </p>
        </sec>
        <sec id="sec-6-2-3">
          <title>Else</title>
          <p>
            Update position of Y (s +1) with the aid of Equation (
            <xref ref-type="bibr" rid="ref23">23</xref>
            )
End if
End if
          </p>
        </sec>
        <sec id="sec-6-2-4">
          <title>Else if</title>
        </sec>
        <sec id="sec-6-2-5">
          <title>Step 9: End for</title>
          <p>For x = 1: M
Check if the position reach out of search space limit and
return back
Calculate the fitness of Y (s)
Update Ybest (s)</p>
        </sec>
        <sec id="sec-6-2-6">
          <title>Step 10: End For</title>
          <p>s = S + 1</p>
        </sec>
        <sec id="sec-6-2-7">
          <title>Step 11: End while</title>
        </sec>
      </sec>
      <sec id="sec-6-3">
        <title>Return Ybest (s)</title>
      </sec>
    </sec>
    <sec id="sec-7">
      <title>4.2. Utilization of band pass sampling</title>
      <p>The sampling Nyquist/Shannon always needs a greater sampling frequency to digitalize the
modulated RF signal having carrier frequency Fc , bandwidth BW and with the GHz range. To achieve
this, high speed electronics need to be operated at least for twice as (Fc + BW / 2) Hz. the symbol rate
is set to 16 Msymbols / s and the carrier frequency Fc at 2.475 with 3.2 GHz of BW. For band pass
sampling, the sampling frequency Fs need to assure the following condition to avoid spectral aliasing
among the RF signals
2 Fmax  Fs  2</p>
      <p>M</p>
      <p> 
1  M  f f  
 Fmax − Fmin </p>
      <p>Fmin
M − 1
Fm
(27)</p>
      <p>
        Here, Fmax represents the maximum frequency and Fmin indicates the minimum frequency in which
the band is sampled, M indicates the integer, Fmax − Fmin denotes the band pass signal BW, f f indicates
sampling, many duplicate band pass signal are generated. Hence, a long guard band of 13 MHz is placed
on both sides of the central frequency to eliminate the spectral aliasing. Mostly, the spectral aliasing
happens due to critical band pass sampling and the entire channel BW attains 46MHz. Hence, the
practical values are considered as the 2.49GHz and 2.45GHz for Fmax and Fmin respectively. The critical
sampling frequency is obtained as 2  46 = 92 MSa / s. From the equation (
        <xref ref-type="bibr" rid="ref2">2</xref>
        ), M can utilize the
integer value from 1 to 54. Consider M as 2, the sampling frequency Fs attains the value of
24.95 MSa / s which is greater than critical sampling. Considering the 8 bit ADC that has low cost
and low power, the bit rate generated about 1.024Gbps.
      </p>
    </sec>
    <sec id="sec-8">
      <title>4.3. D-RoF analytical model</title>
      <p>
        The D-RoF link model has been recognized using VPI transmission approach. A 64 bit signal called
QAM RF is given into the ADC having m number of bits that performs digitalization using band pass
sampling technique. In addition to this, quantization and coding operation also takes place in this
section. In quantization, continuous signal gets discretised based on ADC resolution in discrete time
and amplitude domain. Figure (
        <xref ref-type="bibr" rid="ref1">1</xref>
        ) illustrates the systematic block diagram of proposed method
64-QAM
      </p>
      <p>Bias current and power
optimization using AA
optimization algorithm</p>
      <p>Band pass sampling</p>
      <p>Quantization</p>
      <p>Coding
N-bit ADC
128MHz</p>
      <p>Band noise
Quantization noise</p>
      <p>Jitter noise
Filter noise
Non-lineraity</p>
      <p>Performance
Evaluation</p>
      <p>DFB laser diode</p>
      <p>Photo receiver</p>
      <p>SSMF</p>
      <p>Fiber attenuation
DC
bias
Laser intensity
noise</p>
      <p>Normalization</p>
      <p>Decoding
Reconstructed
signal
DAC
128MHz
Jitter noise</p>
      <p>Photo receiver
noise
Sampling</p>
      <p>DSP
128MHz</p>
      <p>After quantization, the signal is converted into binary sequence and encoded using miller encoder.
The outcome signal helps to modulate the distributed feedback (DFB) laser diode. In this section, the
electrical signal is converted into optical signal. The generated optical signal is then transmitted through
optical channel of SSMF. The transmitted signal is then detected using photo-receiver with the rid of
PIN photo-detector. The final outcome signal is then fed into the digital signal processor (DSP) and the
optical signal is converted into digital signal. The digitalized signal is then fed in to DAC to perform
normalization, decoding and signal reconstruction operations. The reconstructed signal is then fed in to
performance evaluator block to analyse the performance of SNR, EVM and EOP.</p>
      <p>When the band pass signal is resampled from the band noise gets handled using Nyquist region. In
addition to this, the ADC also produces jitter and quantization noise into the RoF link. The quantization
noises are generated due to resolution of bits in the ADC. Moreover, the jitter noise are occur within
the ADC itself and at the sampling clock. In the receiver side, the DAC are highly subjected to jitter
noise and this mainly caused due to phase noise of the clock.</p>
      <p>Due to band pass sampling, signal degradation, clock jitter noise and quantization noise are
generated. The generated noise sources are considered as independent due to weak correlation of the
RoF link. The average of band pass sampling, jitter and quantization noises are null. The clock jitter
produced in DAC jitter noise are also assumed as independent for both optical link and ADC.</p>
      <p>The SNR for the ADC jitter noise is mathematically manipulated as,</p>
      <p>
        SNR jitter ADC (dB) = −20 log10 (2Fc ADC jitter )
(28)
Here, Fc = 2.4 GHz;  jitter = 0.8 ps ; whereas  jitter manipulates the ADC RMS jitter.
The SNR for the ADC quantization noise is mathematically formulated as,
SNRquantization (dB) = −20 log10 ((PAPR ) + 6.02m + 10 log10 (
        <xref ref-type="bibr" rid="ref3">3</xref>
        ))
3( N − 1)
( N + 1)
Here, PAPR =
      </p>
      <p>; N = 64; m = Number of bits.</p>
      <p>The SNR for the band noise aliasing is mathematically expressed as,
kelvin temperature.
as,</p>
      <p>SNR jitter DAC (dB) = −20 log10 (2Fc DAC jitter )−2 sin c</p>
      <p> FFcs 

−2
Here, Fc = 2.4 GHz;  jitter = 0.8 ps and Fs = 128 MHz.</p>
      <p>SNRband niose aliasin g (dB) =</p>
      <p>2Po
MF KT
s
(30)</p>
      <p>Here, Po indicates the output power of modulated RF signal, M indicates the integer of Nyquist
region, Fs indicates the sampling frequency, K represents the Boltzmann constant, T manipulates the
In DAC, the signal degradation arises due to jitter noise and it can be mathematically manipulated
(31)
(29)</p>
      <p>The ADC resolution should be aware that quantization noise is distributed uniformly. This shows
that SNR of quantization noise is greater than SNR of jitter noise.</p>
      <p>
        SNRquantization  SNR jitter
(32)
The above equation can be expanded as,
− 20 log10 ((PAPR ) + 6.02m + 10 log10 (
        <xref ref-type="bibr" rid="ref3">3</xref>
        ))  −20 log10 (2Fc jitter )
(33)
      </p>
      <p>Here, PAPR indicates the peak to average power ratio and it attains the value of 8.1dB,
Fc = 2.4 GHz;  jitter = 0.8 ps . Here, m = 8 is chosen for the optimal solution of the ADC.</p>
      <p>Some of the non-linearity causes ADC to degrade its operation. Therefore, the ADC needs to be
composed with the ideal device along with the integration of different noise. Thus, the distortion can be
reduced by introducing non-linear blocks in the ADC. The non-linear blocks study the behaviour of
ADC using experimental analysis.</p>
      <p>The optical link that generates some non-ideal behaviour were considered as the DFB laser intensity
noise. The intensity noise are due to attenuation, chromatic, dispersion, shot and thermal noise of the
optical fibre and the photo detector.</p>
    </sec>
    <sec id="sec-9">
      <title>5. Results and Discussion</title>
      <p>The achievement of the proposed is analyzed using MATLAB Simulink tool. The analysis is carried
out in the 4  4 MIMO LTE system with 3.2GHz 5G signal having 64-QAM over 70Km of SSMF.
Here, A2 optimization strategy is introduced to optimize the bias current and power transmission of the
MIMO RoF system. However, the MIMO system requires high BW and hence band pass sampling is
introduce to minimize the BW in the system. The performance of the proposed work is analysed under
conventional A-RoF and D-RoF system.</p>
    </sec>
    <sec id="sec-10">
      <title>5.1. Performance metrics</title>
      <p>The EVM is the difference between nominal complex value of received signal and demodulated
signal. It can measure the signal BW and modulation imperfections more accurately. The spatialMux
transmission in MIMO design are always influenced by one another. The performance of the A-RoF
and D-RoF are calculated using EVM and it is mathematically formulated as,
(34)
(35)
(36)</p>
      <p>Here, xn indicates the normalization of n − th symbol, x0,m indicates the normalized ideal
constellation point in the n − th symbol, N represents the number of unique constellation symbols.</p>
      <p>The performance analysis of D-RoF and A-RoF can be examined using eye diagrams for the
transmitting signals. The EOP is also known as eye opening amplitude (EOA) is the ratio of
nondistorted reference eye to the eye opening for the distorted eye known as eye opening height (EOH). It
is mathematically formulated as,</p>
      <p>SNR is the ratio of signal power to the noise power and its unit is decibel (dB). It is mathematically
formulated as,</p>
      <p>EVM (%) =
1 N</p>
      <p> xn − x0,m
N n=1
1 N 2</p>
      <p> x0,m
N n=1</p>
      <p>2
 EOA 
EOP(dB) = 10 log 
 EOH 
 psignal 
SNR = 10 log10  pnoise </p>
      <p></p>
      <p>Here, psignal represents signal power, pnoise indicates the noise power.</p>
    </sec>
    <sec id="sec-11">
      <title>5.2. Performance analysis of D-RoF and A-RoF system</title>
      <p>In this section, the performance of the D-RoF and A-RoF system are analyzed based on EVM, SNR
and EOP by varying the input power, fiber length and resolution bits. From the graph, it clearly
illustrates that the proposed A-RoF and D-RoF system shows better performance with low attenuation.
Approaches</p>
      <p>
        Initially, the input power PIN is set to 0dBm. The A-RoF curve demonstrates that if the fibre length
increase automatically the EVM also gets increased. For the length greater than 60Km, the A-RoF link
increases its 3GPP threshold of EVM as 8%. But the D-RoF link preserve the EVM value lower than
3% based on varying length of the RoF link. From the deep analysis of the graph, the 64 bit QAM
receive its constellation for both A-RoF and D-RoF link at the length of 70Km. However, the received
outcome are more dispersed in case of A-RoF link and confirms that latter is poorly affected by some
impairments present in the system. For A-RoF and D-RoF, the proposed algorithm attains the EVM of
1.44%, 1.12% at 70km length respectively. The change in volume for both the system is calculated
using EVM by varying the input powers. The graphical illustration proves that the EVM for 0dBm input
power attains a value which is more or less than 8% at the length of 70Km. The value attained for both
A-RoF and D-RoF is compared with existing techniques such as AO, CO, RO and PSO is illustrated in
table (
        <xref ref-type="bibr" rid="ref1">1</xref>
        ) and (
        <xref ref-type="bibr" rid="ref2">2</xref>
        ) respectively.
78.846
79.433
      </p>
      <p>
        In case of A-RoF system, the EOH gets closed after the distance of 70Km. Due to this, the EOP
attains infinity between the RoF links. In case of D-RoF system, the EOH remains unclosed within the
fibre limit (70Km). When the distance is at 70Km, the proposed algorithm attains the EOP almost equal
value for A-RoF and D-RoF system respectively. For shorter distance of 10Km, the proposed algorithm
attains the EOP of 77dB and 62dB for A-RoF and D-RoF respectively. The performance of EVM and
EOP allows to evaluate the quality of the received signal. The value attained for both A-RoF and
DRoF is compared with existing techniques such as AO, CO, RO and PSO is illustrated in table (
        <xref ref-type="bibr" rid="ref3">3</xref>
        ) and
(
        <xref ref-type="bibr" rid="ref4">4</xref>
        ) respectively.
      </p>
      <p>
        The number of bits gets increased, the EVM gets decreased. When the input power is at 0dBm, the
fibre is chosen at the length of 70Km. For performing better performance, 8 bit ADC is selected that
helps to reduce the EVM more efficiently. When one bit ADC is chosen, the proposed algorithm attains
the EVM of 1.4% and 1.10% for both A-RoF and D-RoF respectively. For the 8bit ADC, the proposed
algorithm attains the EVM of 1.45%% and 1.12% respectively. When the number of bits increased to
greater than 8bit, the performance of the EVM does not gets changed. However, the ADC having low
bit resolution, high error may attains and the EVM also gets automatically increased. The value attained
for both A-RoF and D-RoF is compared with existing techniques such as AO, CO, RO and PSO is
illustrated in table (
        <xref ref-type="bibr" rid="ref5">5</xref>
        ) and (
        <xref ref-type="bibr" rid="ref6">6</xref>
        ) respectively.
(a)
Figure 4: SNR versus ADC bit resolution, (a) SNR performance for A-RoF, (b) SNR performance for
DRoF
(b)
      </p>
      <p>
        Figure (
        <xref ref-type="bibr" rid="ref4">4</xref>
        ) illustrates the performance of SNR by varying the number of ADC resolution. Figure (4a)
and (4b) depicts the SNR performance of A-RoF and D-RoF respectively. From the graph, as the
number of bits gets increased the SNR also gets increased. In one bit ADC, the proposed algorithm
attains the SNR of about 3.97dB and 3.85dB for both A-RoF and D-RoF respectively. In 8-bit ADC,
the proposed algorithm attains the SNR of about 28dB and 27dB for A-RoF and D-RoF respectively. If
the number of bits greater than 8-bit the SNR value does not gets changed. From the deep analysis of
the graph, it is clear that the selected ADC shows better SNR compared to other ADCs.
      </p>
      <p>
        Figure (
        <xref ref-type="bibr" rid="ref5">5</xref>
        ) manipulates the comparison of overall computation time (sec). From the deep analysis of
the graph, the proposed method attains low computational complexity. Hence, the proposed approach
proves the efficiency of the proposed method. The computational performance is compared with other
existing techniques such as AO, CO, RO and PSO to prove the performance of the proposed method.
The existing AO, CO, RO, PSO and proposed algorithm attains the value of 0.27s, 0.23s, 0.51s, 1.18s
and 0.14s respectively. The existing method attains high computational complexity due to in-balance
ADC and DAC operation. As the fiber length increases, the performance of the ADC and DAC gets
lagged leading to severe traffic among the MIMO system. The proposed method attains low
computation time due to the usage of highly enhanced ADC and DAC in the MIMO system.
      </p>
    </sec>
    <sec id="sec-12">
      <title>6. Conclusion</title>
      <p>MIMO-LTE RoF link is one of the growing technology in 5G WC system. This research mainly
focus to enhance the transmission condition of the RoF Spatial Mux MIMO-LTE System. Here, each
antenna deals with 800 MHz 5G signal having 64-QAM over 70Km SSMF is considered to transmit
the signal over a distributed applications. However, the MIMO system requires huge BW to transmit
the signal over the RoF link. Hence, band pass sampling is introduced. The performance of the proposed
method is analysed for both A-RoF and D-RoF systems. Along with this, the transmission condition of
the MIMO system is also analysed. In addition to this, A2 optimization strategy is introduced to optimize
the bias current and power transmission in the MIMO RoF system. The performance measures such as
EVM, SNR and EOP are analysed under both A-RoF and D-RoF system. In experimental scenario, the
A-RoF and D-RoF has the EVM of 1.45% and 1.13%, EOP of 51.19dB and 51dB, SNR of 27dB and
26dB, computation time of 0.14s are attained. The proposed MIMO system are very much useful
wireless LAN network for enhancing the network efficiency of the LTE system. The RoF link
introduced in this work helps to prevent electromagnetic interference during data transmission. In
future, transmission condition can be optimized in a better way using new optimization strategy.</p>
    </sec>
    <sec id="sec-13">
      <title>7. References</title>
    </sec>
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