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Linear phase cosine modulated maximally decimated filter banks with perfect reconstruction

Lin, Yuan-Pei and Vaidyanathan, P. P. (1995) Linear phase cosine modulated maximally decimated filter banks with perfect reconstruction. IEEE Transactions on Signal Processing, 42 (11). pp. 2525-2539. ISSN 1053-587X. http://resolver.caltech.edu/CaltechAUTHORS:LINieeetsp95

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Abstract

We propose a novel way to design maximally decimated FIR cosine modulated filter banks, in which each analysis and synthesis filter has a linear phase. The system can be designed to have either the approximate reconstruction property (pseudo-QMF system) or perfect reconstruction property (PR system). In the PR case, the system is a paraunitary filter bank. As in earlier work on cosine modulated systems, all the analysis filters come from an FIR prototype filter. However, unlike in any of the previous designs, all but two of the analysis filters have a total bandwidth of 2π/M rather than π/M (where 2M is the number of channels in our notation). A simple interpretation is possible in terms of the complex (hypothetical) analytic signal corresponding to each bandpass subband. The coding gain of the new system is comparable with that of a traditional M-channel system (rather than a 2M-channel system). This is primarily because there are typically two bandpass filters with the same passband support. Correspondingly, the cost of the system (in terms of complexity of implementation) is also comparable with that of an M-channel system. We also demonstrate that very good attenuation characteristics can be obtained with the new system.


Item Type:Article
Additional Information:© Copyright 1995 IEEE. Reprinted with permission. Manuscript received November 26, 1993; revised April 19, 1995. The associate editor coordinating the review of this paper and approving it for publication was Prof. Roberto H. Bamberger. This work was supported by NSF Grant MIP 92-15785, Tektronix, Inc. and by Rockwell International. The authors would like to thank S.-M. Phoong and I. Djokovic for fruitful discussion.
Record Number:CaltechAUTHORS:LINieeetsp95
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:LINieeetsp95
Alternative URL:http://dx.doi.org/10.1109/78.482104
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6887
Collection:CaltechAUTHORS
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Deposited On:30 Dec 2006
Last Modified:26 Dec 2012 09:26

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