An lp-based reconstruction algorithm for compressed sensing radar imaging

Le Zheng, Arian Maleki, Quanhua Liu, Xiaodong Wang, Xiaopeng Yang

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

6 Citations (Scopus)

Abstract

Radar scientists have recently explored the application of compressed sensing for generating high resolution range profiles (HRRPs) from a limited number of measurements. The last decade has witnessed a surge of algorithms for this purpose. Among these algorithms complex-valued approximate message passing (CAMP) has attracted attention for the following reasons: (i) it converges very fast, (ii) its mean-squared-error can be accurately predicted theoretically at every iteration, (iii) it is straightforward to control the false alarm rate and optimize for the best probability of detection. Despite its nice features, the recovery performance of CAMP is similar to â"1-minimization and hence is expected to be improved. The goal of this paper is to first show how the algorithm can be extended to solve non-convex optimization problems. Based on our framework we develop a new algorithm called adaptive â"p-CAMP that not only has all the nice properties of CAMP, but also provably outperforms it. We explore the performance of our algorithm on a real radar data and show that our new algorithm generates SNRs that are up to 6dB better than those of the other existing algorithms including the original CAMP.

Original languageEnglish
Title of host publication2016 IEEE Radar Conference, RadarConf 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781509008636
DOIs
Publication statusPublished - 3 Jun 2016
Event2016 IEEE Radar Conference, RadarConf 2016 - Philadelphia, United States
Duration: 2 May 20166 May 2016

Publication series

Name2016 IEEE Radar Conference, RadarConf 2016

Conference

Conference2016 IEEE Radar Conference, RadarConf 2016
Country/TerritoryUnited States
CityPhiladelphia
Period2/05/166/05/16

Keywords

  • Complex Approximate Message Passing
  • Compressed Sensing
  • High-range-resolution Profiles
  • â"p-minimization

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