On mathematical derivations of auto-term functions and signal-to-noise ratios of the Choi-Williams, first- and nth-order hyperbolic kernels
Author(s)
Le, Khoa
P. Dabke, Kishor
K. Egan, Gregory
Griffith University Author(s)
Year published
2006
Metadata
Show full item recordAbstract
This paper continues investigations on the hyperbolic kernel family [K.N. Le et al., Opt. Eng. 42 (8) (2003) 2400-2415] by giving further mathematical insight into auto-term and noise robustness properties of the first-order hyperbolic, Choi-Williams (CW) and nth-order hyperbolic kernels, for which explicit expressions are derived and approximated for useful values of kernel control parameters ߬ s and kernel order n. Simulation results are also given to support the mathematical approximations.This paper continues investigations on the hyperbolic kernel family [K.N. Le et al., Opt. Eng. 42 (8) (2003) 2400-2415] by giving further mathematical insight into auto-term and noise robustness properties of the first-order hyperbolic, Choi-Williams (CW) and nth-order hyperbolic kernels, for which explicit expressions are derived and approximated for useful values of kernel control parameters ߬ s and kernel order n. Simulation results are also given to support the mathematical approximations.
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Journal Title
Digital Signal Processing
Volume
16
Issue
1
Publisher URI
Subject
Electrical and Electronic Engineering
Mechanical Engineering
Communications Technologies