An Integrated Sequence Construction of Binary Zero-Correlation Zone Sequences

Takafumi HAYASHI

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E90-A    No.10    pp.2329-2335
Publication Date: 2007/10/01
Online ISSN: 1745-1337
DOI: 10.1093/ietfec/e90-a.10.2329
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Coding Theory
binary sequence,  zero-correlation zone,  Hadamard matrix,  sequence design,  mutually orthogonal complementary sets,  

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The present paper introduces an integrated construction of binary sequences having a zero-correlation zone. The cross-correlation function and the side-lobe of the auto-correlation function of the proposed sequence set is zero for the phase shifts within the zero-correlation zone. The proposed method enables more flexible design of the binary zero-correlation zone sequence set with respect to its member size, length, and width of zero-correlation zone. Several previously reported sequence construction methods of binary zero-correlation zone sequence sets can be explained as special cases of the proposed method.