Construction of Binary Array Set with Zero Correlation Zone Based on Interleaving Technique

Yifeng TU  Pingzhi FAN  Li HAO  Xiyang LI  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E94-A    No.2    pp.766-772
Publication Date: 2011/02/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E94.A.766
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Information Theory
auto-correlation function,  cross-correlation fucntion,  perfect array,  zero correlation zone,  

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Sequences with good correlation properties are of substantial interest in many applications. By interleaving a perfect array with shift sequences, a new method of constructing binary array set with zero correlation zone (ZCZ) is presented. The interleaving operation can be performed not only row-by-row but also column-by-column on the perfect array. The resultant ZCZ binary array set is optimal or almost optimal with respect to the theoretical bound. The new method provides a flexible choice for the rectangular ZCZ and the set size.