New sets of optimal p-ary low-correlation zone sequences
- Authors
- Jang, Ji-Woong; No, Jong-Seon; Chung, Habong; Tang, Xiaohu
- Issue Date
- Feb-2007
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Keywords
- p-ary sequences; binary sequences; Legendre sequences; low-correlation zone (LCZ) sequences; sequences; unified sequences
- Citation
- IEEE TRANSACTIONS ON INFORMATION THEORY, v.53, no.2, pp.815 - 821
- Journal Title
- IEEE TRANSACTIONS ON INFORMATION THEORY
- Volume
- 53
- Number
- 2
- Start Page
- 815
- End Page
- 821
- URI
- https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/23645
- DOI
- 10.1109/TIT.2006.889715
- ISSN
- 0018-9448
- Abstract
- In this correspondence, three methods of constructing lowcorrelation zone (LCZ) sequences are proposed. In the first method, we constructed binary LCZ sequence sets of period 2(n) -1 using the Legendre sequences of period 2(m) -1 as a column sequence when m vertical bar n. In the second method, we devise a column sequence set of length 2(m+1) -1 from a binary sequence of period 2(m) -1 having ideal autocorrelation property and this column sequence set is used to construct binary LCZ sequence sets of period 2(n) -1 when (m + 1) vertical bar n. In the third method, p-ary LCZ sequence sets are constructed by adopting p-ary sequence of period p(m) -1 with ideal autocorrelation for integers n and m such that m vertical bar n as a column sequence. The second and third methods give us the optimal sets with respect to the bound by Tang, Fan, and Matsufuji. Finally, a construction method of p(n) x p(n) p-ary Hadamard matrices from optimal LCZ sequence sets is proposed.
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