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A Generalized Reverse Jacket Transform

Lee, Moon Ho and Rajan, Sundar B and Park, JY (2001) A Generalized Reverse Jacket Transform. In: IEEE Transactions on Circuits And Systems II Analog and Digital Signal Processing, 48 (7). pp. 684-690.

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Abstract

Generalization of the well-known Walsh-Hadamard transform (WHT), namely center-weighted Hadamard transform (CWHT) and complex reverse-jacket transform (CRJT) have been proposed and their fast implementation and simple index generation algorithms have recently been reported. These transforms are of size 2(r) x 2(r) for integral values or r, and defined in terms of binary radix representation of integers. In this paper, using appropriate mixed-radix representation of integers, we present a generalized transform called general reverse jacket transform (GRJT) that unifies all the three classes of transforms, WHT, CWHT, and CRJT, and also applicable for any even length vectors, that is of size 2r x 2r. A subclass of GRJT which includes CRJT (but not CWHT) is applicable for finite fields and useful for constructing error control codes.

Item Type: Journal Article
Additional Information: ©2001 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.
Keywords: Error-control coding;image-coding;reverse-jacket transform;Walsh–Hadamard transform
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited: 22 Aug 2008
Last Modified: 19 Sep 2010 04:16
URI: http://eprints.iisc.ernet.in/id/eprint/1959

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