Presentation 2001/3/23
Generalized discrete higher order moment spectra and their kernel design
Hiroshi HASEGAWA, Yasuhiro MIKI, Isao YAMADA, Kohichi SAKANIWA,
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Abstract(in English) Fonollosa and Nikias proposed a class of multidimensional distributions to evaluate the evolution of discrete-time signals' higher order moment spectra. However, to satisfy some important property called marginal condition, their distribution is defined even for a time/frequency for which the signal and its higher order moment spectrum are not defined. The main objective of this paper is to present an alternative. definition of such multidimensional distributions, named generalized discrete higher order moment spectra (GDHOMS), which overcome the drawback. The proposed GDHOMS are completely characterized in terms of multivariate functions called kernels. The second objective of this paper is to clarify the standard requirements for the kernels to realize the desirable properties of the GDHOMS, similar to those of the Cohen's generalized class of joint time-frequency distributions. In addition, we propose a systematic kernel design of the GDHOMS based on the hybrid steepest descent method. The proposed design realizes a kernel that satisfies given standard requirements as good as possible.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) time-frequency analysis / generalized class / generalized higher order moment spectra / discrete-time discrete-frequency / kernel design / Hybrid steepest descent method
Paper # CAS2000-130,DSP2000-188,CS2000-150
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Committee CS
Conference Date 2001/3/23(1days)
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Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Generalized discrete higher order moment spectra and their kernel design
Sub Title (in English)
Keyword(1) time-frequency analysis
Keyword(2) generalized class
Keyword(3) generalized higher order moment spectra
Keyword(4) discrete-time discrete-frequency
Keyword(5) kernel design
Keyword(6) Hybrid steepest descent method
1st Author's Name Hiroshi HASEGAWA
1st Author's Affiliation Dept. of Communications & Integrated Systems Tokyo Institute of Tehcnology()
2nd Author's Name Yasuhiro MIKI
2nd Author's Affiliation Dept. of Communications & Integrated Systems Tokyo Institute of Tehcnology
3rd Author's Name Isao YAMADA
3rd Author's Affiliation Dept. of Communications & Integrated Systems Tokyo Institute of Tehcnology
4th Author's Name Kohichi SAKANIWA
4th Author's Affiliation Dept. of Communications & Integrated Systems Tokyo Institute of Tehcnology
Date 2001/3/23
Paper # CAS2000-130,DSP2000-188,CS2000-150
Volume (vol) vol.100
Number (no) 722
Page pp.pp.-
#Pages 7
Date of Issue