Improved lower bound for quasi-complementary sequence set

Zi Long Liu Zi Long Liu,Yong Liang Guan Yong Liang Guan,Wai Ho Mow Wai Ho Mow

doi:10.1109/isit.2011.6034175

Improved lower bound for quasi-complementary sequence set

Zi Long Liu Zi Long Liu, Yong Liang Guan Yong Liang Guan + Show 1 more

https://doi.org/10.1109/isit.2011.6034175

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Publication Date: Jul 1, 2011

Citations: 24

Affiliation: Nanyang Technological University, Hong Kong University of Science and Technology, University of Hong Kong

#Quasi-complementary Sequence Set #Number Of Channels + Show 8 more

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Abstract

The Welch bound for aperiodic correlation for binary sequence set was improved by Levenshtein by weighting the cyclic shifts of the sequence vectors. Taking Levenshtein's idea, a new lower bound for quasi-complementary sequence set (QCSS) over the complex roots-of-unity is derived in this paper. It is shown to be tighter than the Welch bound for QCSS in one of the following cases: 1) K = 4M − 1, M ≥ 2 and equation; 2) K ≥ 4M, M ≥ 2 and N ≥ 2. where K,M,N respectively denotes the set size, number of channels, elementary sequence length of QCSS.

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