Hyperbolic kernel for time-frequency power spectrum

We propose a new family of hyperbolic kernels where for a joint time-frequency distribution. The first-order hyperbolic kernel sech( ) 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-te...

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Bibliographic Details
Published in:Optical Engineering 2003-08, Vol.42 (8), p.2400-2415
Main Authors: Le, Khoa N, Dabke, Kishor P, Egan, Gregory K
Format: Article
Language:English
Subjects:
Choi-Williams kernels
Cohen distributions
hyperbolic signal detectors
signal processing
signal-to-noise ratio
time-frequency power spectra
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Summary:We propose a new family of hyperbolic kernels where for a joint time-frequency distribution. The first-order hyperbolic kernel sech( ) 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. ©
ISSN:0091-3286
1560-2303
DOI:10.1117/1.1590651