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Theory of optimal orthonormal subband coders

Vaidyanathan, P. P. (1998) Theory of optimal orthonormal subband coders. IEEE Transactions on Signal Processing, 46 (6). pp. 1528-1543. ISSN 1053-587X. http://resolver.caltech.edu/CaltechAUTHORS:VAIieeetsp98a

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Abstract

The theory of the orthogonal transform coder and methods for its optimal design have been known for a long time. We derive a set of necessary and sufficient conditions for the coding-gain optimality of an orthonormal subband coder for given input statistics. We also show how these conditions can be satisfied by the construction of a sequence of optimal compaction filters one at a time. Several theoretical properties of optimal compaction filters and optimal subband coders are then derived, especially pertaining to behavior as the number of subbands increases. Significant theoretical differences between optimum subband coders, transform coders, and predictive coders are summarized. Finally, conditions are presented under which optimal orthonormal subband coders yield as much coding gain as biorthogonal ones for a fixed number of subbands.


Item Type:Article
Additional Information:© Copyright 1998 IEEE. Reprinted with permission. Manuscript received October 2, 1995; revised December 3, 1997. This work was supported in part by the NSF under Grants MIP 92-15785 and MIP 0703755, Tektronix, Inc., and Rockwell International. The associate editor coordinating the review of this paper and approving it for publication was Dr. Truong Q. Nguyen.
Subject Keywords:Coding gain, optimal filter banks, orthonormal coders, paraunitary coders, principal-component filter banks, subband coders, transform coders
Record Number:CaltechAUTHORS:VAIieeetsp98a
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:VAIieeetsp98a
Alternative URL:http://dx.doi.org/
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7095
Collection:CaltechAUTHORS
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Deposited On:08 Jan 2007
Last Modified:26 Dec 2012 09:29

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