Title :
New construction of M-ary sequence family from Sidel’nikov sequences
Author :
Kim, Young-Sik ; Chung, Jung-Soo ; Choi, Sung-Tai ; No, Jong-Seon ; Chung, Habong
Author_Institution :
Samsung Electron., Co. Ltd., Yongin
Abstract :
In this paper, for a positive integer M and a prime p such that M|pn - 1, a family of M-ary sequences using the M-ary Sidel´nikov sequences with period pn-1 is constructed. This family has its maximum magnitude of correlation values upper bounded by 3radic(pn) + 6 and the family size is (M-I)2(2 n-1-1) + M - 1 for p = 2 or (M-1)2(pn -3)/2+ M (M-1)/2 for an odd prime p.
Keywords :
phase shift keying; sequences; M-ary Sidel´nikov sequence; maximum magnitude correlation; phase shift keying; positive integer; Autocorrelation; Data communication; Error correction codes; Galois fields; Phase modulation; Phase shift keying; Polynomials; Upper bound;
Conference_Titel :
Information Theory, 2008. ISIT 2008. IEEE International Symposium on
Conference_Location :
Toronto, ON
Print_ISBN :
978-1-4244-2256-2
Electronic_ISBN :
978-1-4244-2257-9
DOI :
10.1109/ISIT.2008.4595323