Hyperbolic kernel for time-frequency power spectrum

被引：15

作者：

Le, KN ^{[1
]}

Dabke, KP ^{[1
]}

Egan, GK ^{[1
]}

机构：

[1] Monash Univ, Dept Elect & Comp Syst Engn, Melbourne, Vic 3004, Australia

来源：

OPTICAL ENGINEERING | 2003年 / 42卷 / 08期

关键词：

signal processing; time-frequency power spectra; Cohen distributions; Choi-Williams kernels; hyperbolic signal detectors; signal-to-noise ratio;

D O I：

10.1117/1.1590651

中图分类号：

O43 [光学];

学科分类号：

070207 [光学]; 0803 [光学工程];

摘要：

We propose a new family of hyperbolic kernels Phi(hyperbolic)(theta,tau) [sech(betathetatau)](n), where n = 1,3,5,..., for a joint time-frequency distribution. The first-order hyperbolic kernel sech(,607) is mainly considered. Theoretical aspects of the new hyperbolic kernel are examined in detail. The effectiveness of a kernel is determined by three factors: cross-term suppression, auto-term resolution, and noise robustness. The effectiveness of the new kernel is compared with other kernels including Choi-Williams, Wigner-Ville, and multiform tiltable exponential using two different signals: complex-exponential and chirp. (C) 2003 Society of Photo-Optical Instrumentation Engineers.

引用

页码：2400 / 2415

页数：16

共 31 条

[1]

Minimum variance time-frequency distribution kernels for signals in additive noise [J].

Amin, MG .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1996, 44 (09) :2352-2356

[2]

IMPROVED TIME-FREQUENCY REPRESENTATION OF MULTICOMPONENT SIGNALS USING EXPONENTIAL KERNELS [J].

CHOI, HI ;

WILLIAMS, WJ .

IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1989, 37 (06) :862-871

[3]

CLAASEN TACM, 1980, PHILIPS J RES, V35, P372

[4]

CLAASEN TACM, 1980, PHILIPS J RES, V35, P217

[5]

CLAASEN TACM, 1980, PHILIPS J RES, V35, P276

[6]

TIME FREQUENCY-DISTRIBUTIONS - A REVIEW [J].

COHEN, L .

PROCEEDINGS OF THE IEEE, 1989, 77 (07) :941-981

[7]

GENERALIZED PHASE-SPACE DISTRIBUTION FUNCTIONS [J].

COHEN, L .

JOURNAL OF MATHEMATICAL PHYSICS, 1966, 7 (05) :781-&

[8]

DESIGN OF TIME-FREQUENCY REPRESENTATIONS USING A MULTIFORM, TILTABLE EXPONENTIAL KERNEL [J].

COSTA, AH ;

BOUDREAUXBARTELS, GF .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1995, 43 (10) :2283-2301

[9]

FLANDRIN P, 1999, COMMUNICATION

[10]

FLANDRIN P, 1984, P IEEE ICASSP, V3

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