Phase Transition in Frequency Agile Radar Using Compressed Sensing

Yuhan Li, Tianyao Huang, Xingyu Xu, Yimin Liu, Yonina C. Eldar

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Frequency Agile Radar (FAR) has improved anti-jamming performance over traditional pulse-Doppler radars under complex electromagnetic circumstances. To reconstruct the range-Doppler information in FAR, many compressed sensing (CS) methods including standard and block sparse recovery have been applied. In this paper, we study phase transitions of range-Doppler recovery in FAR using CS. In particular, we derive the closed-form phase transition curves associated with block sparse recovery and complex Gaussian matrices, based on prior results of standard sparse recovery under real Gaussian matrices. Empirical simulations validate the obtained curves, which lead to tight bounds on the radar and target parameters that guarantee exact recovery of targets' range-Doppler information.

Original languageEnglish
Title of host publication2020 IEEE Radar Conference, RadarConf 2020
ISBN (Electronic)9781728189420
DOIs
StatePublished - 21 Sep 2020
Externally publishedYes
Event2020 IEEE Radar Conference, RadarConf 2020 - Florence, Italy
Duration: 21 Sep 202025 Sep 2020

Publication series

NameIEEE National Radar Conference - Proceedings
Volume2020-September
ISSN (Print)1097-5659

Conference

Conference2020 IEEE Radar Conference, RadarConf 2020
Country/TerritoryItaly
CityFlorence
Period21/09/2025/09/20

Keywords

  • Frequency agile radar
  • block sparse recovery
  • norm minimization
  • phase transition

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

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