New families of M-ary sequences with low correlation constructed from Sidel'nikov sequences
- Authors
- Kim, Young-Sik; Chung, Jung-Soo; No, Jong-Seon; Chung, Habong
- Issue Date
- Aug-2008
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Keywords
- autocorrelation; cross-correlation; family of M-ary sequences; M-ary sequences; pseudonoise (PN) sequences; Sidel' nikov sequences
- Citation
- IEEE TRANSACTIONS ON INFORMATION THEORY, v.54, no.8, pp.3768 - 3774
- Journal Title
- IEEE TRANSACTIONS ON INFORMATION THEORY
- Volume
- 54
- Number
- 8
- Start Page
- 3768
- End Page
- 3774
- URI
- https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/22699
- DOI
- 10.1109/TIT.2008.926428
- ISSN
- 0018-9448
- Abstract
- In this correspondence, for a positive integer M and a prime p such that M\p(n) - 1, three families of M-ary sequences using the M-ary Sidel'nikov sequences with period p(n) - 1 are constructed. Two small families contain [(p(n) - 1)/2] + M - 2 or p(n) + M - 3 M-ary sequences, and both of their maximum magnitudes of correlation values are upper bounded by 2 root p(n) + 6. The largest family has its maximum magnitude of correlation values upper bounded by 3 root p(n) + 5 and the family size is (M-1)(2) (2(n-1)-1)+M-1 for p = 2 or(M-1)(2)(p(n)-3)/2+M(M-1)/2 for an odd prime p.
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