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Proceedings Paper

The optimum discrete running approximation of multidimensional time-limited signals
Author(s): Yuichi Kida; Takuro Kida
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Paper Abstract

In this paper, we present an integrated discussion of the space-limited but approximately band-limited ndimensional running discrete approximation that minimizes various continuous worst-case measures of error, simultaneously. Firstly, we introduce the optimum approximation using a fixed finite number of sample values and a running approximation that scans the sample values along the time-axis. Secondly, we derive another filter bank having both the set of extended number of transmission paths and a cutoff frequency over the actual Nyquist frequency. Thirdly, we obtain a continuous space-limited n-dimensional interpolation functions satisfying condition called extended discrete orthogonality. Finally, we derive a set of signals and discrete FIR filter bank that satisfy two conditions of the optimum approximation.

Paper Details

Date Published: 3 September 2009
PDF: 12 pages
Proc. SPIE 7444, Mathematics for Signal and Information Processing, 744403 (3 September 2009); doi: 10.1117/12.825607
Show Author Affiliations
Yuichi Kida, Ohu Univ. (Japan)
Takuro Kida, Tokyo Institute of Technology (Japan)
Nihon Univ. (Japan)

Published in SPIE Proceedings Vol. 7444:
Mathematics for Signal and Information Processing
Franklin T. Luk; Mark S. Schmalz; Gerhard X. Ritter; Junior Barrera; Jaakko T. Astola, Editor(s)

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