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Proceedings Paper

Scalar Wiener filter based on discrete trigonometric transforms and symmetric convolution
Author(s): Thomas M. Foltz; Byron M. Welsh
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Paper Abstract

This paper presents a scalar Wiener filter derived in the transform domain of discrete trigonometric transforms. The implementation of the filter is through symmetric convolution, the underlying form of convolution for discrete trigonometric transforms. The symmetric convolution of two sequences is equivalent to their multiplication in the transform domain of discrete trigonometric transforms. This symmetric convolution-multiplication property and the fact that a type-II discrete cosine transform is asymptotically equivalent to the eigenvectors of the correlation matrix of a Markov-I process allows this scalar Wiener filter to be nearly optimum for Markov-I models. The performance of the filter is analyzed for the case of recovering an object corrupted by a 2D Gaussian filter in the presence of noise.

Paper Details

Date Published: 3 November 1998
PDF: 11 pages
Proc. SPIE 3433, Propagation and Imaging through the Atmosphere II, (3 November 1998); doi: 10.1117/12.330226
Show Author Affiliations
Thomas M. Foltz, Air Force Institute of Technology (United States)
Byron M. Welsh, Air Force Institute of Technology (United States)


Published in SPIE Proceedings Vol. 3433:
Propagation and Imaging through the Atmosphere II
Luc R. Bissonnette, Editor(s)

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