Tkacenko, Andre and Vaidyanathan, P. P. (2003) On the least squares signal approximation model for overdecimated rational nonuniform filter banks and applications. In: 2003 International Conference on Multimedia and Expo. IEEE , Piscataway, NJ, pp. 857-860. ISBN 0-7803-7965-9 http://resolver.caltech.edu/CaltechAUTHORS:20111019-152758261
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With the advent of wavelets for lossy data compression came the notion of representing signals in a certain vector space by their projections in well chosen subspaces of the original space. In this paper, we consider the subspace of signals generated by an overdecimated rational nonuniform filter bank and find the optimal conditions under which the mean-squared error between a given deterministic signal and its representation in this subspace is minimized for a fixed set of synthesis filters. Under these optimal conditions, it is shown that choosing the synthesis filters to further minimize this error is simply an energy compaction problem. With this, we introduce the notion of deterministic energy compaction filters for classes of signals. Simulation results are presented showing the merit of our proposed method for optimizing the synthesis filters.
|Item Type:||Book Section|
|Additional Information:||© 2003 IEEE. Issue Date: 6-9 July 2003. Date of Current Version: 18 August 2003. Work supported in part by the ONR grant N00014-99-1-1002, USA.|
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|Official Citation:||Tkacenko, A.; Vaidyanathan, P.P.; , "On the least squares signal approximation model for overdecimated rational nonuniform filter banks and applications," Multimedia and Expo, 2003. ICME '03. Proceedings. 2003 International Conference on , vol.1, no., pp. I- 857-60 vol.1, 6-9 July 2003 doi: 10.1109/ICME.2003.1221053 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1221053&isnumber=27433|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||24 Oct 2011 22:27|
|Last Modified:||26 Dec 2012 14:17|
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