On the Cross-Correlation Distributions of p-Ary m-Sequences and Their Decimated Sequences

Sung-Tai CHOI  Jong-Seon NO  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E95-A   No.11   pp.1808-1818
Publication Date: 2012/11/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E95.A.1808
Print ISSN: 0916-8508
Type of Manuscript: INVITED PAPER (Special Section on Signal Design and Its Applications in Communications)
code division multiple access (CDMA),  cross-correlation function,  decimated sequence,  p-ary m-sequence,  sequence family,  

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In this paper, we analyze the existing results to derive the cross-correlation distributions of p-ary m-sequences and their decimated sequences for an odd prime p and various decimations d. Based on the previously known results, a methodology to obtain the distribution of their cross-correlation values is also formulated.