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Iterative algorithm for the design of optimal FIR analysis/synthesis filters for overdecimated filter banks

Tkacenko, Andre and Vaidyanathan, P. P. (2004) Iterative algorithm for the design of optimal FIR analysis/synthesis filters for overdecimated filter banks. In: Proceedings of the 2004 International Symposium on Circuits and Systems. IEEE , Piscataway, NJ, pp. 325-328. ISBN 0-7803-8251-X http://resolver.caltech.edu/CaltechAUTHORS:20111013-161223340

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Abstract

Recently, much attention has been given to the design of signal-adapted filter banks, in which the filter banks are designed to optimize a particular objective function, i.e. coding gain or a multiresolution criterion, for a particular class of input signals. If we restrict the analysis/synthesis filters to satisfy an orthonormality or biorthogonality condition, but put no restrictions on filter orders, then often times it is known how to choose the filters optimally for the objectives mentioned above. However, such filters are often unrealizable infinite order filters. In this paper, we consider the design of optimal analysis/synthesis filters in which the only restriction is that they must be finite impulse response (FIR) filters. We focus here on minimizing the mean squared reconstruction error for overdecimated filter banks. An iterative method to alternately design the analysis and synthesis banks is presented in which the error is monotonic nonincreasing for each iteration. Simulation results provided show the merit of the proposed algorithm.


Item Type:Book Section
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http://dx.doi.org/10.1109/ISCAS.2004.1328749DOIUNSPECIFIED
http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1328749PublisherUNSPECIFIED
Additional Information:© 2004 IEEE. Issue Date: 23-26 May 2004; Date of Current Version: 03 September 2004. Work supported in part by the ONR grant N00014-99-1-1002, USA.
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Office of Naval Research (ONR)N00014-99-1-1002
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INSPEC Accession Number8066227
Record Number:CaltechAUTHORS:20111013-161223340
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20111013-161223340
Official Citation:Tkacenko, A.; Vaidyanathan, P.P.; , "Iterative algorithm for the design of optimal FIR analysis/synthesis filters for overdecimated filter banks," Circuits and Systems, 2004. ISCAS '04. Proceedings of the 2004 International Symposium on , vol.3, no., pp. III- 325-8 Vol.3, 23-26 May 2004 doi: 10.1109/ISCAS.2004.1328749
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:27217
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:14 Oct 2011 18:18
Last Modified:14 Oct 2011 18:18

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