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Proceedings Paper

Simultaneous minimization of various worst case measures of error in FIR filter bank
Author(s): Yuichi Kida; Takuro Kida
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Paper Abstract

We present the optimum running-type approximation of FIR filter bank that minimizes various worst-case measures of error, simultaneously, with respect to each of two different sets of signals. The first set is a set of piecewise analytic time-limited but approximately band-limited signals. When a supreme signal that realizes the prescribed worst-case measure of error exists, we prove, firstly, that there exists one-to-one correspondence between error in a wide time interval and error in a small interval. Based on this one-to-one correspondence, we prove that the approximation presented in this paper is the optimum in some sense. Secondly, we consider a set of band-limited signals with a main-lobe and a pair of small side-lobes and obtain similar conclusion.

Paper Details

Date Published: 5 September 2008
PDF: 12 pages
Proc. SPIE 7075, Mathematics of Data/Image Pattern Recognition, Compression, and Encryption with Applications XI, 70750F (5 September 2008); doi: 10.1117/12.795609
Show Author Affiliations
Yuichi Kida, Ohu Univ. (Japan)
Takuro Kida, Tokyo Institute of Technology (Japan)
Nihon Univ. (Japan)


Published in SPIE Proceedings Vol. 7075:
Mathematics of Data/Image Pattern Recognition, Compression, and Encryption with Applications XI
Mark S. Schmalz; Gerhard X. Ritter; Junior Barrera; Jaakko T. Astola, Editor(s)

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