Phase Transitions in Frequency Agile Radar Using Compressed Sensing

Yuhan Li, Tianyao Huang, Xingyu Xu, Yimin Liu, Lei Wang, Yonina Eldar

Research output: Contribution to journalArticlepeer-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 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. We further approximate the obtained curves with elementary functions of radar and target parameters, facilitating practical applications of these curves. Our results indicate that block sparse recovery outperforms the standard counterpart when targets occupy more than one range cell, which are often referred to as extended targets. Simulations validate the availability of these curves and their approximations in FAR, which benefit the design of the radar parameters.

Original languageEnglish
Article number9497742
Pages (from-to)4801-4818
Number of pages18
JournalIEEE Transactions on Signal Processing
Volume69
DOIs
StatePublished - 2021

Keywords

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

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Electrical and Electronic Engineering

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