A class of almost r-phase sequences with ideal autocorrelation

Kuwait Journal of Science

Hannuo Zhao¹  Lianfei Luo¹  Shenghua Li¹ 

关键词: Almost r-phase sequence;    correlation distribution;    cyclotomic class;    cyclotomic number;    ideal autocorrelation.;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Kuwait University * Academic Publication Council

【 摘 要 】

For an odd prime N 1 (mod r), (r) almost r-phase sequences of period N areconstructed based on cyclotomy, where r is a positive integer and is Euler’sfunction. The new sequences have ideal autocorrelation property. Moreover, thesealmost r-phase sequences are modified to obtain r (r) r-phase sequences withgood autocorrelation, which include known polyphase power-residue sequences,Legendre sequences (r 2) and quadriphase sequences (r 4). The autocorrelationdistribution of these r-phase sequences are determined completely.

【 授权许可】

Unknown