Title :
A Construction of a New Family of
-ary Sequences With Low Correlation From Sidel\´nikov Sequences
Author :
Chung, Jung-Soo ; No, Jong-Seon ; Chung, Habong
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Seoul Nat. Univ., Seoul, South Korea
fDate :
4/1/2011 12:00:00 AM
Abstract :
In this paper, a new family of M -ary sequences of period pn -1 is proposed. The proposed family is constructed by the addition of cyclic shifts of an M -ary Sidel´nikov sequence and its reverse sequence. The number of sequences contained in this family is about (M-1)2 times of their period and the maximum magnitude of their correlation values is upper bounded by 4 √(pn) +5.
Keywords :
correlation methods; m-sequences; Sidel\´nikov sequences; correlation; cyclic shifts; m-ary sequences; maximum magnitude; reverse sequence; Computer science; Correlation; Electrical engineering; Information theory; Polynomials; Upper bound; Wireless communication; $M$ -ary sequences; Autocorrelation; Legendre sequences; Sidel\´nikov sequences; cross-correlation; family of $M$-ary sequences; power residue sequences;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2011.2110750