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 Japanese) | (See Japanese page) |
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 | DSP |
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Conference Date | 2001/3/23(1days) |
Place (in Japanese) | (See Japanese page) |
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Registration To | Digital Signal Processing (DSP) |
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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 Technology() |
2nd Author's Name | Yasuhiro MIKI |
2nd Author's Affiliation | Dept. of Communications & Integrated Systems Tokyo Institute of Technology |
3rd Author's Name | Isao YAMADA |
3rd Author's Affiliation | Dept. of Communications & Integrated Systems Tokyo Institute of Technology |
4th Author's Name | Kohichi SAKANIWA |
4th Author's Affiliation | Dept. of Communications & Integrated Systems Tokyo Institute of Technology |
Date | 2001/3/23 |
Paper # | CAS2000-130,DSP2000-188,CS2000-150 |
Volume (vol) | vol.100 |
Number (no) | 720 |
Page | pp.pp.- |
#Pages | 7 |
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