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On factorization of a subclass of 2-D digital FIR lossless matricesfor 2-D QMF bank applications

Liu, V. C. and Vaidyanathan, P. P. (1990) On factorization of a subclass of 2-D digital FIR lossless matricesfor 2-D QMF bank applications. IEEE Transactions on Circuits and Systems, 37 (6). pp. 852-854. ISSN 0098-4094. doi:10.1109/31.55051.

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The role of one-dimensional (1-D) digital finite impulse response (FIR) lossless matrices in the design of FIR perfect reconstruction quadrature mirror filter (QMF) banks has been explored previously. Structures which can realize the complete family of FIR lossless transfer matrices, have also been developed, with QMF application in mind. For the case of 2-D QMF banks, the same concept of lossless polyphase matrix has been used to obtain perfect reconstruction. However, the problem of finding a structure to cover all 2-D FIR lossless matrices of a given degree has not been solved. Progress in this direction is reported. A structure which completely covers a well-defined subclass of 2-D digital FIR lossless matrices is obtained.

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Vaidyanathan, P. P.0000-0003-3003-7042
Additional Information:© Copyright 1990 IEEE. Reprinted with permission. Manuscript received April 11, 1989; revised June 29, 1989. This work was supported in part by the National Science Foundation under Grant DCI 8552579 and under Grant MIP 8604456. This letter was recommended by Associate Editor T.R. Vaidyanathan.
Funding AgencyGrant Number
National Science FoundationDCI 8552579
National Science FoundationMIP 8604456
Subject Keywords:digital filters; matrix algebra; network synthesis; signal processing
Issue or Number:6
Record Number:CaltechAUTHORS:LIUieeetcs90
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11546
Deposited By: Archive Administrator
Deposited On:03 Sep 2008 23:45
Last Modified:08 Nov 2021 22:00

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