A generalized reverse jacket transform

作     者：Lee, MH Rajan, BS Park, JY 

作者机构：Chonbuk Natl Univ Inst Informat & Commun Chonju 560756 South Korea Indian Inst Sci Dept Commun Engn Bangalore 560012 Karnataka India Seonam Univ Dept Elect & Elect Engn Namwon City 590711 Chonbuk South Korea 

出 版 物：《IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS》 (IEEE Trans Circuits Syst II Analog Digital Signal Process)

年 卷 期：2001年第48卷第7期

页      面：684-690页

核心收录：

学科分类：0808[工学-电气工程] 08[工学] 

主　　题：error-control coding image-coding reverse-jacket transform Walsh-Hadamard transform 

摘      要：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.