Robust Time-Frequency Analysis Based on the L-Estimation and Compressive Sensing

被引:61
作者
Stankovic, L. [1 ]
Stankovic, S. [1 ]
Orovic, I. [1 ]
Amin, Moeness G. [2 ]
机构
[1] Univ Montenegro, Dept Elect Engn, Podgorica 81000, Montenegro
[2] Villanova Univ, Ctr Adv Commun, Villanova, PA 19085 USA
关键词
Robust time-frequency distributions; L-estimation signal reconstruction; compressive sensing;
D O I
10.1109/LSP.2013.2252899
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
The L-estimate transforms and time-frequency representations are presented within the framework of compressive sensing. The goal is to recover signal or local auto-correlation function samples corrupted by impulse noise. The signal is assumed to be sparse in a transform domain or in a joint-variable representation. Unlike the standard L-statistics approach, which suffers from degraded spectral characteristics due to the omission of samples, the compressive sensing in combination with the L-estimate permits signal reconstruction that closely approximates the noise free signal representation.
引用
收藏
页码:499 / 502
页数:4
相关论文
共 17 条
[1]   Through-the-Wall Human Motion Indication Using Sparsity-Driven Change Detection [J].
Ahmad, Fauzia ;
Amin, Moeness G. .
IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, 2013, 51 (02) :881-890
[2]  
[Anonymous], TIME FREQUENCY SIGNA
[3]   Compressive sensing [J].
Baraniuk, Richard G. .
IEEE SIGNAL PROCESSING MAGAZINE, 2007, 24 (04) :118-+
[4]   POLYNOMIAL WIGNER-VILLE DISTRIBUTIONS AND THEIR RELATIONSHIP TO TIME-VARYING HIGHER-ORDER SPECTRA [J].
BOASHASH, B ;
OSHEA, P .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1994, 42 (01) :216-220
[5]   Robust Sampling and Reconstruction Methods for Sparse Signals in the Presence of Impulsive Noise [J].
Carrillo, Rafael E. ;
Barner, Kenneth E. ;
Aysal, Tuncer C. .
IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING, 2010, 4 (02) :392-408
[6]   Salt-and-pepper noise removal by median-type noise detectors and detail-preserving regularization [J].
Chan, RH ;
Ho, CW ;
Nikolova, M .
IEEE TRANSACTIONS ON IMAGE PROCESSING, 2005, 14 (10) :1479-1485
[7]   Robust L-estimation based forms of signal transforms and time-frequency representations [J].
Djurovic, I ;
Stankovic, L ;
Böhme, JF .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2003, 51 (07) :1753-1761
[8]   Compressed sensing [J].
Donoho, DL .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2006, 52 (04) :1289-1306
[9]   Time-Frequency Energy Distributions Meet Compressed Sensing [J].
Flandrin, Patrick ;
Borgnat, Pierre .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2010, 58 (06) :2974-2982
[10]   Robust M-periodogram [J].
Katkovnik, V .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1998, 46 (11) :3104-3109