Exponential-quadratic optimal signal reconstruction in noisy filter banks

Haris Vikalo; Alper T. Erdogan; Babak Hassibi; Thomas Kailath

doi:10.1117/12.408589

4 December 2000 Exponential-quadratic optimal signal reconstruction in noisy filter banks

Haris Vikalo, Alper T. Erdogan, Babak Hassibi, Thomas Kailath

Proceedings Volume 4119, Wavelet Applications in Signal and Image Processing VIII; (2000) https://doi.org/10.1117/12.408589
Event: International Symposium on Optical Science and Technology, 2000, San Diego, CA, United States

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.

Citation Download Citation

Haris Vikalo, Alper T. Erdogan, Babak Hassibi, and Thomas Kailath "Exponential-quadratic optimal signal reconstruction in noisy filter banks", Proc. SPIE 4119, Wavelet Applications in Signal and Image Processing VIII, (4 December 2000); https://doi.org/10.1117/12.408589

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