1 August 2003 Hyperbolic kernel for time-frequency power spectrum
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Optical Engineering, 42(8), (2003). doi:10.1117/1.1590651
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.
Khoa Nguyen Le, Kishor P. Dabke, Gregory K. Egan, "Hyperbolic kernel for time-frequency power spectrum," Optical Engineering 42(8), (1 August 2003). http://dx.doi.org/10.1117/1.1590651
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KEYWORDS
Time-frequency analysis

Optical engineering

Interference (communication)

Fourier transforms

Signal detection

3D displays

Diamond

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