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Optical Engineering

Hyperbolic kernel for time-frequency power spectrum
Author(s): Khoa Nguyen Le; Kishor P. Dabke; Gregory K. Egan
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Paper Abstract

We propose a new family of hyperbolic kernels Φhyperbolic(θ,τ) = [sech(βθτ)]n, where n = 1,3,5,... for a joint time-frequency distribution. The first-order hyperbolic kernel sech(βθτ) 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.

Paper Details

Date Published: 1 August 2003
PDF: 16 pages
Opt. Eng. 42(8) doi: 10.1117/1.1590651
Published in: Optical Engineering Volume 42, Issue 8
Show Author Affiliations
Khoa Nguyen Le, Griffith Univ., Gold Coast Campus (Australia)
Kishor P. Dabke, Monash Univ. (Australia)
Gregory K. Egan, Monash Univ. (Australia)

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