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BOT’s Based on Nonuniform Filter Banks

Makur, Anamitra (1996) BOT’s Based on Nonuniform Filter Banks. In: IEEE Transactions on Signal Processing, 44 (8). pp. 1971-1981.

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Abstract

Parallels between orthogonal transforms and filter banks have been drawn before. Block orthogonal transform (BOT) is a special case of orthogonal transform where a nonover lapping window is used. In this paper we relate BOT’s to filter banks. Specifically, we show that any BOT can be shown as a perfect reconstruction filter bank, and any tree-structured perfect reconstruction filter bank or any orthonormal filter bank for which no filter length exceeds its decimation factor can be shown as a BOT. We then show that all conventional BOT’S map to uniform filter banks. A construction method to design a BOT from any nonuniform filter bank is presented, and finding an optimal tree structure (in the sense of transform coding gain) for a given source has also been discussed. Results show that the optimal nonuniform BOT outperforms uniform BOT’s having either the same number of bands or the same size in most cases.

Item Type: Journal Article
Additional Information: Copyright 1990 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited: 25 Aug 2008
Last Modified: 19 Sep 2010 04:26
URI: http://eprints.iisc.ernet.in/id/eprint/6530

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