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|Title:||Design of conjugate quadrature filters having specified zeros||Authors:||Lawton, Wayne
Micchelli, Charles A.
|Issue Date:||1997||Citation:||Lawton, Wayne,Micchelli, Charles A. (1997). Design of conjugate quadrature filters having specified zeros. ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings 3 : 2069-2072. ScholarBank@NUS Repository.||Abstract:||Conjugate quadrature filters with multiple zeros at 1 have classical applications to unitary subband coding of signals using exact reconstruction filter banks. Recent work shows how to construct, given a set of n negative numbers, a CQF whose degree does not exceed 2n-1 and whose zeros contain the specified negative numbers, and applies such filters to interpolatory subdivision and to wavelet construction in Sobelov spaces. This paper describes a recent result of the authors which extends this construction for an arbitrary set of n nonzero complex numbers that contains no negative or negative reciprocal conjugate pairs. Detailed derivations are to be given elsewhere. We design several filters using an exchange algorithm to illustrate a conjecture concerning the minimal degree and we discuss an application to coding transient acoustic signals.||Source Title:||ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings||URI:||http://scholarbank.nus.edu.sg/handle/10635/111245||ISSN:||07367791|
|Appears in Collections:||Staff Publications|
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