Title :
Generalized m-sequences and their crosscorrelation properties
Author :
Lin, Xu-duan ; Cai, Chang-nian
Author_Institution :
Dept. of Telecommun. Eng., Beijing Univ. of Posts & Telecommun., China
Abstract :
A class of pseudorandom sequences over GF(pm) which are the generalization of m-sequences are constructed, and the periodic auto- and cross-correlation functions of the generalized m-sequences are analyzed. The cross-correlation function of two generalized m-sequences over GF(pm) with period pmn-1 is calculated in terms of the cross-correlation of two smaller m-sequences over GF(p) with period pm -1. Classes of sequences which have small peak values of cross-correlations are obtained
Keywords :
codes; correlation theory; autocorrelation function; codes; cross-correlation function; crosscorrelation properties; generalized m-sequences; periodic functions; pseudorandom sequences; Communication systems; Galois fields; Hamming weight; Multiaccess communication; Random sequences; Senior members; Spread spectrum radar; Vectors;
Conference_Titel :
Computer and Communication Systems, 1990. IEEE TENCON'90., 1990 IEEE Region 10 Conference on
Print_ISBN :
0-87942-556-3
DOI :
10.1109/TENCON.1990.152602
