Sparsity and compressive sensing of sense-through-foliage radar signals

Motivated by recent advances on Compressive Sensing (CS), we study the sparsity of sense-through-foliage radar signals. Based on CLEAN method, we obtain the impulse response for sense-through-foliage communication channels for three different radars, 200MHz, 400MHz, and UWB radars. Channel impulse responses for the above three different kinds of channels demonstrate that the sense-through-foliage signals are very sparse, which means CS is possible to be applied to sense-through-foliage radar signals to tremendously reduce the sampling rate. We apply CS and linear programming to sparse signal compression and recovery, and it turns out that we could achieve compression ratio of 32:1 with perfect recovery for the UWB radar signals.

[1]  Constantine Caramanis,et al.  Finite Adaptability in Multistage Linear Optimization , 2010, IEEE Transactions on Automatic Control.

[2]  Shengli Zhou,et al.  Signal extraction using Compressed Sensing for passive radar with OFDM signals , 2008, 2008 11th International Conference on Information Fusion.

[3]  R. Baraniuk,et al.  Compressive Radar Imaging , 2007, 2007 IEEE Radar Conference.

[4]  Kush R. Varshney,et al.  Sparse Representation in Structured Dictionaries With Application to Synthetic Aperture Radar , 2008, IEEE Transactions on Signal Processing.

[5]  Shengli Zhou,et al.  Compressed sensing for OFDM/MIMO radar , 2008, 2008 42nd Asilomar Conference on Signals, Systems and Computers.

[6]  T. Blumensath,et al.  Fast Encoding of Synthetic Aperture Radar Raw Data using Compressed Sensing , 2007, 2007 IEEE/SP 14th Workshop on Statistical Signal Processing.

[7]  J. Högbom,et al.  APERTURE SYNTHESIS WITH A NON-REGULAR DISTRIBUTION OF INTERFEROMETER BASELINES. Commentary , 1974 .

[8]  David L Donoho,et al.  Compressed sensing , 2006, IEEE Transactions on Information Theory.

[9]  Philip Schniter,et al.  Sparse reconstruction for radar , 2008, SPIE Defense + Commercial Sensing.

[10]  Thomas Strohmer,et al.  High-Resolution Radar via Compressed Sensing , 2008, IEEE Transactions on Signal Processing.

[11]  John N. Tsitsiklis,et al.  Introduction to linear optimization , 1997, Athena scientific optimization and computation series.

[12]  Xiuzhen Cheng,et al.  Wireless channel modeling in foliage environment: UWB versus narrowband , 2008, MILCOM 2008 - 2008 IEEE Military Communications Conference.

[13]  Moe Z. Win,et al.  Evaluation of an ultra-wide-band propagation channel , 2002 .