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Proceedings Paper

The optimum discrete scan-type approximation of low-pass type signals bounded by a measure like Kullback-Leibler divergence
Author(s): Yuichi Kida; Takuro Kida
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Paper Abstract

We present a running approximation of discrete signals by a FIR filter bank that minimizes various worst-case measures of error, simultaneously. We assume that the discrete signal is a sampled version of unknown original band-limited signal that has a main lobe and small side-lobes. To restrict frequency characteristics of signals in this discussion, we impose two restrictions to a set of signals. One is a restriction to a weighted-energy of the Fourier transform of the discrete signal treated actually in the approximation and another is a restriction to a measure like Kullback-Leibler divergence between the initial analog signal and the final discrete approximation signal. Firstly, we show interpolation functions that have an extended band-width and satisfy condition called discrete orthogonality. Secondly, we present a set of signals and a running approximation satisfying all of these conditions of the optimum approximation.

Paper Details

Date Published: 9 September 2011
PDF: 10 pages
Proc. SPIE 8136, Mathematics of Data/Image Pattern Coding, Compression, and Encryption with Applications XIII, 813606 (9 September 2011); doi: 10.1117/12.893806
Show Author Affiliations
Yuichi Kida, Ohu Univ. (Japan)
Takuro Kida, Tokyo Institute of Technology (Japan)


Published in SPIE Proceedings Vol. 8136:
Mathematics of Data/Image Pattern Coding, Compression, and Encryption with Applications XIII
Mark S. Schmalz; Gerhard X. Ritter; Junior Barrera; Jaakko T. Astola, Editor(s)

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