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  • 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)
    Le, Khoa N.
    Year published
    2006
    Metadata
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    Abstract
    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
    http://www.elsevier.com/wps/find/journaldescription.cws_home/622818/description#description
    DOI
    https://doi.org/10.1016/j.dsp.2005.04.006
    Subject
    Electrical and Electronic Engineering
    Mechanical Engineering
    Communications Technologies
    Publication URI
    http://hdl.handle.net/10072/13785
    Collection
    • Journal articles

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