Binary Zero-Correlation Zone Sequence Set Construction Using a Cyclic Hadamard Sequence

Takafumi HAYASHI  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E89-A   No.10   pp.2649-2655
Publication Date: 2006/10/01
Online ISSN: 1745-1337
DOI: 10.1093/ietfec/e89-a.10.2649
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Information Theory and Its Applications)
Category: Sequences
Keyword: 
binary sequence,  zero-correlation zone,  cyclic difference set,  cyclic Hadamard sequence,  mutually orthogonal complementary sets,  

Full Text: PDF>>
Buy this Article




Summary: 
The present paper introduces a new construction of a class of binary periodic sequence set having a zero-correlation zone (hereinafter binary ZCA sequence set). 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 present paper shows that such a construction generates a binary ZCA sequence set by using a cyclic difference set and a collection of mutually orthogonal complementary sets.