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Proceedings Paper

Exponential-quadratic optimal signal reconstruction in noisy filter banks
Author(s): Haris Vikalo; Alper T. Erdogan; Babak Hassibi; Thomas Kailath
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Paper Abstract

We consider the design of synthesis filters in noisy filter bank system, using an exponential-quadratic criterion. We assume that the analysis filters have been design to achieve good coding of the input signal. Then we design the synthesis filters to minimize reconstruction error according to the adopted criterion. When the synthesis filters are restricted to be FIR, the design can be cast as a constraint analytic centering problem. To this end, we first employ standard state-space techniques to obtain a set of H(infinity) optimal FIR synthesis filters. Among these, we select the so-called risk-sensitive synthesis filters by additionally minimizing exponential-quadratic cost function. We provide numerical examples to illustrate the procedure.

Paper Details

Date Published: 4 December 2000
PDF: 9 pages
Proc. SPIE 4119, Wavelet Applications in Signal and Image Processing VIII, (4 December 2000); doi: 10.1117/12.408589
Show Author Affiliations
Haris Vikalo, Stanford Univ. (United States)
Alper T. Erdogan, Stanford Univ. (United States)
Babak Hassibi, Lucent Technologies/Bell Labs. (United States)
Thomas Kailath, Stanford Univ. (United States)

Published in SPIE Proceedings Vol. 4119:
Wavelet Applications in Signal and Image Processing VIII
Akram Aldroubi; Andrew F. Laine; Michael A. Unser, Editor(s)

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