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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>High Resolution Imaging for Bistatic P and VHF Band SAR</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>A V Borisenkov</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>O V Goriachkin</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Povolzhskiy State University of Telecommunications and Informatics</institution>
          ,
          <addr-line>Lev Tolstoy str. 23, Samara, Russia, 443010</addr-line>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2018</year>
      </pub-date>
      <fpage>156</fpage>
      <lpage>162</lpage>
      <abstract>
        <p>In the article bistatic SAR imaging algorithm for P and VHF bands is described. The main feature of the system is that it uses two probing signals emitted simultaneously in two different frequency bands. As a consequence the spatial resolution of the proposed SAR can be potentially increased up to two meters. The results of full-scale ground experiment involving the proposed SAR are presented in the article.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Spaceborne Synthetic Aperture Radars (SAR) for Earth remote sensing using P and VHF bands have
been widely discussed over the last several years. Radar images for these bands contain the
information about the reflection coefficient inside vegetation and soil [
        <xref ref-type="bibr" rid="ref1 ref2">1,2</xref>
        ]. Wideband SAR remote
sensing using 20-500 MHz band and 100+ MHz bandwidth onboard unmanned aerial vehicles (UAV)
and other mobile carriers opens up new application possibilities for Earth remote sensing and defence
systems. The most interesting of these possibilities is the detection of small objects concealed by
foliage or located below ground.
      </p>
      <p>Airborne ground penetrating radars are known since the late 80’s of the 20th century. In the year
1988 JPL started the AIRSAR platform development for VHF band imaging. Around the same time
Stanford Research Institute and Swedish Defence Research Agency begun the development of
longwave radars. In Soviet Union similar projects were started in the year 1989 by the Institute of
Radio-engineering and Electronics in Kharkiv and by the Central Construction Bureau in Samara
under the leadership of Professor A.I. Kalmykov.</p>
      <p>
        Currently there exist several airborne radar systems that allow detection through foliage and below
ground: Carabas FOPEN Demonstrator developed by Saab Group, Sweden; FOPEN Reconnaissance,
Surveillance, Tracking and Engagement Radar; TRACER – a dual band (UHF/VHF) radar; Boeing
A160T – a P-band radar operating onboard an unmanned helicopter [
        <xref ref-type="bibr" rid="ref2">2-5</xref>
        ].
      </p>
      <p>From the year 2005 to the present time a scientific group of the Earth Radar Remote Sensing
Center (ERRSC PSUTI, Samara) have been developing novel remote sensing systems. From global
expensive space and aviation systems to local and relatively cheap but sufficient quality technologies
for UAVs, ground transports or stationary ground-based infrastructures [4-6].</p>
      <p>
        In contrast to works [
        <xref ref-type="bibr" rid="ref1 ref2">1-3</xref>
        ] in this paper an imaging algorithm for Bistatic SAR (BiSAR) using P and
VHF bands simultaneously is described. The SAR was developed by ERRSC PSUTI during the years
2013-2017. Field test results for the SAR are presented. The test was aimed at obtaining ultra-high
resolution images utilizing the combined 80 MHz data composed from 30 MHz P band and 50 MHz
VHF band data.
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. Equipment of BiSAR</title>
      <p>BiSAR radio equipment consists of two pulse transmitters which can produce stable chirp and/or PSK
signals at carrier frequencies of 435 and 145 MHz. Signal bandwidth can be adjusted from 1 to 30
MHz in P band and from 25 to 50 MHz in VHF band. The equipment is mounted on a car and utilizes
autonomous primary and secondary power sources.</p>
      <p>Both onboard transmitter and ground-based receiver use a Yagi-Uda antenna. Ground-based
stationary receiver consists of two dual channel tuned radio frequency receivers with up to 110 dB
power gain. Each receiver records in-phase and quadrature components of a signal at 200 MHz
frequency using digital representation for subsequent digital signal processing. Receiving antenna
height can vary from 8 to 12 meters.</p>
      <p>The described configuration of the radar system allows to acquire synchronous radio images for P
and VHF bands and also a combined high resolution image using 30 and 50 MHz signals
simultaneously. The idea of the method is illustrated by Fig. 1.</p>
      <p>50 (25) MHz → 3 (6) m 30 (25) MHz → 5 (6) m</p>
      <sec id="sec-2-1">
        <title>VHF Band</title>
        <p>145 MHz</p>
      </sec>
      <sec id="sec-2-2">
        <title>P Band</title>
        <p>435 MHz
80 (50) MHz → 1.8 (3) m</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Imaging algorithm</title>
      <p>In the paper the specifics of radar imaging algorithm for ground-based experiment are considered. For
the BiSAR modification in question Signal-to-Noise Ratio (SNR) for direct channel is high enough, so
we can use a simple threshold method to detect probing signals in the presence of noise and reflected
signals, which provides the required synchronization of each of the frequency bands independently.</p>
      <p>We can describe the steps of radar imaging for each of the frequency bands as follows:
1. Synchronous detection and band-pass filtering of both direct and reflected BiSAR signals
recorded by Analog-to-Digital Converter (ADC);
2. Range compression using digital matched filter with chirp or PSK pulses of both direct and
reflected BiSAR channels for each of the frequency bands;
3. Synchronization of the direct and reflected channels by producing a file of compressed probing
signal sample indices;
4. Producing of two-dimensional (2D) radio hologram files using direct and reflected signals in P
and VHF band;
5. Making of a combined 2D radio hologram file for frequency shift of f s (8-25 MHz during the
experiment);
6. Computing of a combined dual frequency radio image using the following formula:
Here is the backscattering coefficient (radar image); is the combined 2D radio hologram
signal which consists of a sequence of reflected and probing pulses after preliminary matched filtering
at zero carrier frequency, frequency shifting and summation of the signals from the two frequency
bands;  2 t, x, y is the time delay of the signal, reflected by a point target at the coordinates x, y;
 1t  is the time offset caused by transmitter instability and estimated by synchronization system;
G t, x, y is the weight function, which depends on movement patterns of transmitting and receiving
BiSAR antennas.</p>
      <p>Fig. 2 shows a block diagram of the described imaging algorithm.</p>
      <sec id="sec-3-1">
        <title>VHF band receiver ADC</title>
      </sec>
      <sec id="sec-3-2">
        <title>Synchronous detection</title>
      </sec>
      <sec id="sec-3-3">
        <title>Band-pass filtering</title>
      </sec>
      <sec id="sec-3-4">
        <title>Matched filter (PSK pulse)</title>
      </sec>
      <sec id="sec-3-5">
        <title>Time synchronizatio n</title>
      </sec>
      <sec id="sec-3-6">
        <title>Frequency</title>
        <p>shift by  fs</p>
      </sec>
      <sec id="sec-3-7">
        <title>P band receiver ADC</title>
      </sec>
      <sec id="sec-3-8">
        <title>Synchronous detection</title>
      </sec>
      <sec id="sec-3-9">
        <title>Band-pass filtering</title>
      </sec>
      <sec id="sec-3-10">
        <title>Matched filter (chirp pulse)</title>
      </sec>
      <sec id="sec-3-11">
        <title>Time synchronizatio n</title>
      </sec>
      <sec id="sec-3-12">
        <title>Frequency</title>
        <p>shift by  fs</p>
      </sec>
      <sec id="sec-3-13">
        <title>Summation of complex samples</title>
      </sec>
      <sec id="sec-3-14">
        <title>Computing an image in accordance with the formula (1) Figure 2. Block diagram of the imaging algorithm.</title>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Ground-based experiment results</title>
      <p>In the paper the results of the ground-based experiment involving the proposed dual frequency bistatic
SAR are presented. For BiSAR system to function properly, the transmitter should be moving while
emitting a signal. During the experiment we used a car moving across a bridge. The bridge height was
about 20 meters. Fig. 3 shows the geometry of the experiment.</p>
      <p>Fig. 6 shows the resulting radar image of the scene of the experiment (48 km) combined with
optical image of the same scene acquired via Google maps service.</p>
      <sec id="sec-4-1">
        <title>Target 8 km</title>
      </sec>
      <sec id="sec-4-2">
        <title>Stationary</title>
        <p>receiver position</p>
      </sec>
      <sec id="sec-4-3">
        <title>Moving car carrying the transmitter Figure 3. Ground-based experiment geometry. Figure 4. Stationary receiver position deployed in the field.</title>
        <p>ПриBемiSнаAяRпоrзeиcциeяivБeиrРЛК
position
ТраBссiаSавтомобиля,</p>
        <p>AR transmitter
несущего БА БиРЛК</p>
        <p>movement path</p>
        <p>Fig. 7 and 8 show radar images in P and VHF bands respectively obtained during the ground-based
experiment; pixel resolution is 1.51.5 m; synthesis time is 40 sec. Fig. 7 shows the image with 30
MHz bandwidth that corresponds to potential spatial resolution of 5 meters and Fig. 8 shows the image
with 25 MHz bandwidth that corresponds to potential spatial resolution of 6 meters (slant range
resolution).</p>
        <p>Fig. 9 shows the combined radar image for P and VHF bands with corresponding potential spatial
resolution of 3 meters (slant range resolution). Fig. 10 and 11 show the matching fragments of the
radar images in VHF, P and VHF+P bands that confirm the resolution increase.</p>
        <p>During the experiment the area was observed with a small altitude (5-7 degrees), thus, radar images
show only the taller objects, such as masts, power transmission lines, tall buildings, lone tall trees,
wooded areas, etc.</p>
        <p>The results of the experiment allow us to conclude that there exists a possibility to create a complex
of onboard and ground-based equipment together with algorithms and software for the BiSAR system
that allows to obtain radar images for VHF and P bands and produce high resolution images for
combined VHF+P band with spatial resolution up to 2 meters.</p>
        <p>For the year 2018 we are planning to conduct a similar experiment using UAV (octocopter drone) to
carry the mobile BiSAR transmitter.</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusion</title>
      <p>The results of the full-scale ground experiment show that using both VHF and P bands with respective
resolutions of 6-10 and 6 meters it is possible to obtain a combined radar image with range resolution
of 3-6 meters. Thus, the proposed technology demonstrates the possibility of combining VHF and P
band probing signals to increase the spatial resolution of bistatic SAR systems.</p>
    </sec>
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