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DTSTAMP:20261016T233832Z
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DTSTART;TZID=America/New_York:20261016T113000
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DESCRIPTION:A challenging problem in radar imaging is the localization and 
 tracking of moving targets with high resolution. Imaging modalities such a
 s synthetic aperture radar use the relative motion of the antenna with res
 pect to a stationary scene to generate high-resolution imagery via convent
 ional Fourier inversion techniques applied over a coherent processing inte
 rval. The presence of moving targets and dynamics in the scene of interest
  violates the core assumptions of synthetic aperture formation\, introduci
 ng major artifacts and potential limitations in the resolution of syntheti
 c aperture imaging systems. Motion in the scene introduces spatially varyi
 ng\, velocity-dependent range variations which must be corrected for accur
 ate parameter estimation\, image refocusing\, and tracking of key targets 
 of interest. Furthermore\, conventional radar systems are designed to opti
 mize resolution in range\, and to exhibit Doppler tolerance for optimal ta
 rget detection in lieu of high Doppler/velocity resolution\, where the two
  correspond to a fundamental trade-off in waveform design under the classi
 cal formulations.\n\nIn this talk\, we will discuss novel approaches towar
 ds super-resolution in ground moving target imaging (GMTI). We will first 
 introduce a convex optimization-based approach that leverages a natural lo
 w-rank+sparse decomposition on the phase-space reflectivity domain\, which
  characterizes location and velocity parameters for the targets in the sce
 ne in a lifted\, higher dimensional parameter space to admit a structured 
 linear inverse problem. We analyze the capabilities and limitations of thi
 s method\, which performs simultaneous stationary background recovery alon
 g with the recovery of ground moving targets. We next motivate a novel sup
 er-resolution technique for GMTI based on the atomic norm minimization (AN
 M) framework that reformulates the off-grid recovery of sparse moving targ
 et parameters as a semi-definite program that is tractable per slow-time/a
 ntenna-location at sub-resolution cell precision levels. To this end\, we 
 use ANM to decompose the received SAR data into the echoes received from e
 ach scatterer in the scene\, which facilitates processing echoes individua
 lly across the slow-time samples. We then use the estimates from the ANM d
 ecomposition for simultaneous localization and 2D velocity estimation by f
 ormulating a quadratic inverse problem\, which is solved by a Gauss-Newton
  method. We derive new and novel trade-offs between SAR imaging parameters
  and the number of targets resolved under the separation conditions of ANM
  theory\, and establish the conditions required on the antenna trajectory 
 for the performance guarantees of our method. We finally demonstrate the o
 ff-grid\, sub-resolution cell localization and 2D velocity estimation capa
 bility of our SAR-GMTI method via numerical simulations\, with comparisons
  to grid-based approaches and robustness evaluations in the presence of ad
 ditive noise\, clutter\, and trajectory errors. We finally discuss future 
 directions towards extensions to problems such as passive source localizat
 ion\, and towards handling low signal-to-clutter ratio conditions.\n\nSpea
 ker(s): Dr. Yonel\, \n\nAgenda: \n11:00 A.M.-11:30 A.M.: Arrival\, Check-I
 n\, Get a Plate of Food\n\n11:30 A.M.-12:30 P.M.: IEEE Technical Lecture b
 y Dr. Bariscan Yonel\n\n12:30 P.M.-1:00 P.M.: (Optional) Additional Time f
 or Questions &amp; Answers\, Depart\n\nRoom: KL 253\, Bldg: Kettering Labs (KL
 )\, University of Dayton (UD)\, 435 Stonemill Rd\, University Park (Dayton
 )\, Ohio\, United States\, 45409-2546\, Virtual: https://events.vtools.iee
 e.org/m/581807
LOCATION:Room: KL 253\, Bldg: Kettering Labs (KL)\, University of Dayton (U
 D)\, 435 Stonemill Rd\, University Park (Dayton)\, Ohio\, United States\, 
 45409-2546\, Virtual: https://events.vtools.ieee.org/m/581807
ORGANIZER:michael.callahan.10@us.af.mil
SEQUENCE:79
SUMMARY:Super-Resolution Ground Moving Target Imaging via Atomic Norm Minim
 ization
URL;VALUE=URI:https://events.vtools.ieee.org/m/581807
X-ALT-DESC:Description: &lt;br /&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span lang=&quot;EN&quot; style=&quot;f
 ont-size: 12pt\; line-height: 115%\;&quot;&gt;A challenging problem in radar imagi
 ng is the localization and tracking of moving targets with high resolution
 . Imaging modalities such as synthetic aperture radar use the relative mot
 ion of the antenna with respect to a stationary scene to generate high-res
 olution imagery via conventional Fourier inversion techniques applied over
  a coherent processing interval. The presence of moving targets and dynami
 cs in the scene of interest violates the core assumptions of synthetic ape
 rture formation\, introducing major artifacts and potential limitations in
  the resolution of synthetic aperture imaging systems. Motion in the scene
  introduces spatially varying\, velocity-dependent range variations which 
 must be corrected for accurate parameter estimation\, image refocusing\, a
 nd tracking of key targets of interest. Furthermore\, conventional radar s
 ystems are designed to optimize resolution in range\, and to exhibit Doppl
 er tolerance for optimal target detection in lieu of high Doppler/velocity
  resolution\, where the two correspond to a fundamental trade-off in wavef
 orm design under the classical formulations.&amp;nbsp\;&lt;/span&gt;&lt;/p&gt;\n&lt;p class=&quot;
 MsoNormal&quot;&gt;&lt;span lang=&quot;EN&quot; style=&quot;font-size: 12pt\; line-height: 115%\;&quot;&gt;I
 n this talk\, we will discuss novel approaches towards super-resolution in
  ground moving target imaging (GMTI). We will first introduce a convex opt
 imization-based approach that leverages a natural low-rank+sparse decompos
 ition on the phase-space reflectivity domain\, which characterizes locatio
 n and velocity parameters for the targets in the scene in a lifted\, highe
 r dimensional parameter space to admit a structured linear inverse problem
 . We analyze the capabilities and limitations of this method\, which perfo
 rms simultaneous stationary background recovery along with the recovery of
  ground moving targets. We next motivate a novel super-resolution techniqu
 e for GMTI based on the atomic norm minimization (ANM) framework that refo
 rmulates the off-grid recovery of sparse moving target parameters as a sem
 i-definite program that is tractable per slow-time/antenna-location at sub
 -resolution cell precision levels. To this end\, we use ANM to decompose t
 he received SAR data into the echoes received from each scatterer in the s
 cene\, which facilitates processing echoes individually across the slow-ti
 me samples. We then use the estimates from the ANM decomposition for simul
 taneous localization and 2D velocity estimation by formulating a quadratic
  inverse problem\, which is solved by a Gauss-Newton method. We derive new
  and novel trade-offs between SAR imaging parameters and the number of tar
 gets resolved under the separation conditions of ANM theory\, and establis
 h the conditions required on the antenna trajectory for the performance gu
 arantees of our method. We finally demonstrate the off-grid\, sub-resoluti
 on cell localization and 2D velocity estimation capability of our SAR-GMTI
  method via numerical simulations\, with comparisons to grid-based approac
 hes and robustness evaluations in the presence of additive noise\, clutter
 \, and trajectory errors. We finally discuss future directions towards ext
 ensions to problems such as passive source localization\, and towards hand
 ling low signal-to-clutter ratio conditions.&lt;/span&gt;&lt;/p&gt;&lt;br /&gt;&lt;br /&gt;Agenda:
  &lt;br /&gt;&lt;p&gt;11:00 A.M.-11:30 A.M.: Arrival\, Check-In\, Get a Plate of Food&lt;
 /p&gt;\n&lt;p&gt;11:30 A.M.-12:30 P.M.: IEEE Technical Lecture by Dr. Bariscan Yone
 l&lt;/p&gt;\n&lt;p&gt;12:30 P.M.-1:00 P.M.: (Optional) Additional Time for Questions &amp;
 amp\; Answers\, Depart&lt;/p&gt;\n&lt;p&gt;&amp;nbsp\;&lt;/p&gt;
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