Structures, factorizations, and design criteria for oversampled paraunitary filterbanks yielding linear-phase filters
(2000) IEEE Transactions on Signal Processing — Vol. 48, n° 11, p. 3062-3071 (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 VII and type III/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.
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Labeau, F., Vandendorpe, L., & Macq, B. (2000). Structures, factorizations, and design criteria for oversampled paraunitary filterbanks yielding linear-phase filters. IEEE Transactions on Signal Processing, 48(11), 3062-3071. https://doi.org/10.1109/78.875464 (Original work published 2000)