COMPRESSIVE SPECTRAL ESTIMATION FOR NONSTATIONARY RANDOM PROCESSES

被引：4

作者：

Jung, Alexander ^{[1
]}

Tauboeck, Georg ^{[1
]}

Hlawatsch, Franz ^{[1
]}

机构：

[1] Vienna Univ Technol, Inst Commun & Radio Frequency Engn, A-1040 Vienna, Austria

来源：

2009 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOLS 1- 8, PROCEEDINGS | 2009年

关键词：

Nonstationary spectral estimation; Wigner-Ville spectrum; Gabor expansion; compressed sensing; sparse reconstruction; basis pursuit;

D O I：

10.1109/ICASSP.2009.4960262

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

We propose a "compressive" estimator of the Wigner-Ville spectrum (WVS) for time-frequency sparse, underspread, nonstationary random processes. A novel WVS estimator involving the signal's Gabor coefficients on an undersampled time-frequency grid is combined with a compressed sensing transformation in order to reduce the number of measurements required. The performance of the compressive WVS estimator is analyzed via a bound on the mean square error and through simulations. We also propose an efficient implementation using a special construction of the measurement matrix.

引用

页码：3029 / 3032

页数：4

共 13 条

[1] Time-frequency localization from sparsity constraints [J].

Borgnat, Pierre ;

Flandrin, Patrick .

2008 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING, VOLS 1-12, 2008, :3785-3788

[2] Stable signal recovery from incomplete and inaccurate measurements [J].

Candes, Emmanuel J. ;

Romberg, Justin K. ;

Tao, Terence .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2006, 59 (08) :1207-1223

[3] Compressed sensing [J].

Donoho, DL .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2006, 52 (04) :1289-1306

[4]

Flandrin P., 1997, The Wigner Distribution, P211

[5]

Grochenig K., 2001, Foundations of Time-Frequency Analysis. Applied andNumerical Harmonic Analysis, DOI DOI 10.1007/978-1-4612-0003-1

[6] 2ND-ORDER TIME-FREQUENCY SYNTHESIS OF NONSTATIONARY RANDOM-PROCESSES [J].

HLAWATSCH, F ;

KOZEK, W .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1995, 41 (01) :255-267

[7]

Kozek W., 1994, Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis (Cat. No.94TH8007), P460, DOI 10.1109/TFSA.1994.467314

[8]

Kozek W, 1997, Ph.D. dissertation

[9]

Mallat S, 1998, ANN STAT, V26, P1

[10] Nonstationary spectral analysis based on time-frequency operator symbols and underspread approximations [J].

Matz, G ;

Hlawatsch, F .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2006, 52 (03) :1067-1086

← 1 2 →