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Proceedings Paper

The optimum approximation of an orthogonal expansion having bounded higher order correlations of stochastic coefficients
Author(s): Yuichi Kida; Takuro Kida
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Paper Abstract

In this paper, we establish the optimum interpolation approximation for a set of multi-dimensional statistical orthogonal expansions. Each signal has a bounded linear combination of higher order self-correlations and mutual-correlations with respect to coefficients of the expansion. For this set of signals, we present the optimum interpolation approximation that minimizes various worst-case measures of mean-square error among all the linear and the nonlinear approximations. Finally, as a practical application of the optimum interpolation approximation, we present a discrete numerical solution of linear partial differential equations with two independent variables.

Paper Details

Date Published: 3 September 2008
PDF: 12 pages
Proc. SPIE 7075, Mathematics of Data/Image Pattern Recognition, Compression, and Encryption with Applications XI, 70750E (3 September 2008); doi: 10.1117/12.795760
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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