Presentation 2008-07-17
The Optimum Approximation of Signals That Have Small Side-Lobes Bounded By A Measure Like Kullback-Leibler Divergence
Yuichi KIDA, Takuro KIDA,
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Abstract(in English) We present the optimum running approximation of band-limited signals using sample values of outputs of FIR analysis filters. We consider set of signals with a main-lobe and a pair of small side-lobes. We assume that weighted square-integral of the main-lobe is bounded. Further, for the purpose of defining divergence of side-lobes of error in attenuation band, we introduce a measure like Kullback-Leibler divergence and assume that this measure is bounded. Finally, we prove that the presented approximation minimizes various measures of error at the same time.
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Keyword(in English) Filter bank / Optimum approximation / Kullback-Leibler divergence
Paper # RCS2008-35
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Committee RCS
Conference Date 2008/7/10(1days)
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Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) The Optimum Approximation of Signals That Have Small Side-Lobes Bounded By A Measure Like Kullback-Leibler Divergence
Sub Title (in English)
Keyword(1) Filter bank
Keyword(2) Optimum approximation
Keyword(3) Kullback-Leibler divergence
1st Author's Name Yuichi KIDA
1st Author's Affiliation The School of Pharmaceutical Sciences, Ohu University()
2nd Author's Name Takuro KIDA
2nd Author's Affiliation Tokyo Institute of Technology, Nihon University
Date 2008-07-17
Paper # RCS2008-35
Volume (vol) vol.108
Number (no) 135
Page pp.pp.-
#Pages 6
Date of Issue