2016•IEICE Transactions on Fundamentals of Electronics Communications and Computer SciencesRequires access

Constructions of Gaussian Integer Sequences with Zero Correlation Zone

Xiaoyu Chen, Deming Kong, XU Cheng-qian, Kai Liu

Abstract

Based on a perfect Gaussian integer sequence, shift and combination operations are performed to construct Gaussian integer sequences with zero correlation zone (ZCZ). The resultant sequence sets are optimal or almost optimal with respect to the Tang-Fan-Matsufuji bound. Furthermore, the ZCZ Gaussian integer sequence sets can be provided for quasi-synchronous code-division multiple-access systems to increase transmission data rate and reduce interference.

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Key concepts: Integer (computer science), Sequence (biology), Gaussian, Gaussian integer, Zero (linguistics), Mathematics, Algorithm, Combinatorics