A generalized reverse jacket transform

Citation
Mh. Lee et al., A generalized reverse jacket transform, IEEE CIR-II, 48(7), 2001, pp. 684-690
Citations number
18
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Eletrical & Eletronics Engineeing
Journal title
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING
ISSN journal
1057-7130 → ACNP
Volume
48
Issue
7
Year of publication
2001
Pages
684 - 690
Database
ISI
SICI code
1057-7130(200107)48:7<684:AGRJT>2.0.ZU;2-M
Abstract
Generalization of the well-known Walsh-Hadamard transform (WHT), namely cen ter-weighted Hadamard transform (CWHT) and complex reverse-jacket transform (CRJT) have been proposed and their fast implementation and simple index g eneration algorithms have recently been reported. These transforms are of s ize 2(r) x 2(r) for integral values or r, and defined in terms of binary ra dix representation of integers. In this paper, using appropriate mixed-radi x representation of integers, we present a generalized transform called gen eral reverse jacket transform (GRJT) that unifies all the three classes of transforms, WHT, CWHT, and CRJT, and also applicable for any even length ve ctors, 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 erro r control codes.