Structures, factorizations, and design criteria for oversampledparaunitary filterbanks yielding linear-phase filters

Authors:
F. Labeau;L. Vandendorpe;B. Macq
Affiliations:
Commun. & Remote Sensing Lab., Univ. Catholique de Louvain;-;-
Venue:
IEEE Transactions on Signal Processing
Year:
2000

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Abstract

We present here a special class of oversampled filterbanks (FBs), namely, paraunitary FBs with linear-phase filters. We propose some necessary conditions for the existence of such banks, based on the repartition between type I/II and type II/IV linear-phase filters in the bank. For a subset of these FBs, we develop a factorization that leads to a minimal implementation, as well as a direct parameterization of the FBs in terms of elementary rotation angles. This factorization is applied to some design examples, with two different optimization criteria: coding gain and reconstructibility of lost coefficients