Efficient state-space approach for FIR filter bank completion

Authors:
Corneliu Popeea;Bogdan Dumitrescu;Boris Jora
Affiliations:
Department of Automatic Control and Computer Science, "Politehnica" University of Bucharest, 313 Spl. independentei, 77206 Bucharest, Romania;Department of Automatic Control and Computer Science, "Politehnica" University of Bucharest, 313 Spl. independentei, 77206 Bucharest, Romania;Department of Automatic Control and Computer Science, "Politehnica" University of Bucharest, 313 Spl. independentei, 77206 Bucharest, Romania
Venue:
Signal Processing
Year:
2003

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Abstract

The main contribution of this paper is an algorithm for designing an FIR paraunitary filter bank when one filter is given. The algorithm is based on the properties of the balanced state-space representation of the polyphase matrix. Our new algorithm computes this representation via a single RQ decomposition, i.e. in an efficient and accurate manner, and provides a lattice implementation of the filter bank. The algorithm is extended to the case of several given filters and also to the computation of the impulse responses of the filters in the bank. Another continuation of the algorithm is the computation of signal adapted filter banks in view of optimizing their coding gain. Numerical results, mainly related to the latest topic, conclude the paper.