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On the study of four-parallelogram filter banks

Lin, Yuan-Pei and Vaidyanathan, P. P. (1996) On the study of four-parallelogram filter banks. IEEE Transactions on Signal Processing, 44 (11). pp. 2107-2117. ISSN 1053-587X. doi:10.1109/78.542177.

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The most commonly used 2-D filter banks are separable filter banks, which can be obtained by cascading two 1-D filter banks in the form of a tree. The supports of the analysis and synthesis filters in the separable systems are unions of four rectangles. The natural nonseparable generalization of such supports are those that are unions of four parallelograms. We study four parallelogram filter banks, which is the class of 2-D filter banks in which the supports of the analysis and synthesis filters consist of four parallelograms. For a given a decimation matrix, there could be more than one possible configuration (the collection of passbands of the analysis filters). Various types of configuration are constructed for four-parallelogram filter banks. Conditions on the configurations are derived such that good design of analysis and synthesis filters are possible. We see that there is only one category of these filter banks. The configurations of four-parallelogram filter banks in this category can always be achieved by designing filter banks of low design cost.

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Vaidyanathan, P. P.0000-0003-3003-7042
Additional Information:© Copyright 1996 IEEE. Reprinted with permission. Manuscript received November 26, 1995; revised April. 14, 1996. This work was supported, in part. 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 Dr. Bruce Suter.
Issue or Number:11
Record Number:CaltechAUTHORS:LINieeetsp96a
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6886
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Deposited On:30 Dec 2006
Last Modified:08 Nov 2021 20:37

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