Theory of optimal orthonormal subband coders
- Creators
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Vaidyanathan, P. P.
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.
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.Files
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Additional details
- Eprint ID
- 7095
- Resolver ID
- CaltechAUTHORS:VAIieeetsp98a
- Created
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2007-01-08Created from EPrint's datestamp field
- Updated
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2020-03-09Created from EPrint's last_modified field