J4 ›› 2015, Vol. 42 ›› Issue (1): 200-206.doi: 10.3969/j.issn.1001-2400.2015.01.032

• Original Articles • Previous Articles     Next Articles

Compressive sensing of linear frequency modulated echo signals in fractional Fourier domains

FANG Biao1,2;HUANG Gaoming1;GAO Jun1;ZUO Wei1   

  1. (1. College of Electronic Engineering, Naval Univ. of Engineering, Wuhan  430033, China;
    2. The Unit 92723 of the PLA, Beijing  100841, China)
  • Received:2013-07-23 Online:2015-02-20 Published:2015-04-14
  • Contact: FANG Biao E-mail:allan_fb@163.com

Abstract:

For the large bandwidth, high sampling rate, high storage capacity in linear frequency modulated(LFM) signals applied in wideband radar, this paper designs an overall solution for undersampling the radar echo of LFM signals based on compressive sensing(CS). First, by use of the good energy characteristics of LFM signals in the fractional Fourier transform(FRFT) domain, a novel orthogonal base dictionary based on the DFRFT nuclear matrix is proposed. Combining this dictionary with random demodulation and matching pursuit algorithms, an LFM radar echo signal sampling and reconstruction system model is built. Simulation results verify the feasibility and effectiveness of this scheme, and sparse representation of the LFM radar echo in the orthogonal basis dictionary is superior to the existing waveform matching dictionary, and has better anti-noise and adaptive performance.

Key words: compressive sensing, linear frequency modulate, fractional Fourier transform

CLC Number: 

  • TP391