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A complete factorization of paraunitary matrices with pairwise mirror-image symmetry in the frequency domain

Soman, Anand K. and Vaidyanathan, P. P. (1995) A complete factorization of paraunitary matrices with pairwise mirror-image symmetry in the frequency domain. IEEE Transactions on Signal Processing, 43 (4). pp. 1002-1004. ISSN 1053-587X. doi:10.1109/78.376855.

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The problem of designing orthonormal (paraunitary) filter banks has been addressed in the past. Several structures have been reported for implementing such systems. One of the structures reported imposes a pairwise mirror-image symmetry constraint on the frequency responses of the analysis (and synthesis) filters around π/2. This structure requires fewer multipliers, and the design time is correspondingly less than most other structures. The filters designed also have much better attenuation. In this correspondence, we characterize the polyphase matrix of the above filters in terms of a matrix equation. We then prove that the structure reported in a paper by Nguyen and Vaidyanathan, with minor modifications, is complete. This means that every polyphase matrix whose filters satisfy the mirror-image property can be factorized in terms of the proposed structure.

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Vaidyanathan, P. P.0000-0003-3003-7042
Additional Information:© Copyright 1995 IEEE. Reprinted with permission. Manuscript received March 18, 1993; revised September 20, 1994. This work was supported by NSF grant MIP 92-15785, Tektronix Inc., and Rockwell International. The associate editor coordinating the review of this paper and approving it for publication was hf. Sergio D. Cabrera.
Subject Keywords:band-pass filters, digital filters, filtering theory, frequency response, frequency-domain analysis, matrix algebra, signal reconstruction
Issue or Number:4
Record Number:CaltechAUTHORS:SOMieeetsp95
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8717
Deposited By: Archive Administrator
Deposited On:10 Sep 2007
Last Modified:08 Nov 2021 20:52

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