Perfect Gaussian Integer Sequences of Degree-4 Using Difference Sets

Xiuping PENG  Jiadong REN  Chengqian XU  Kai LIU  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E99-A   No.12   pp.2604-2608
Publication Date: 2016/12/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E99.A.2604
Type of Manuscript: LETTER
Category: Spread Spectrum Technologies and Applications
Keyword: 
autocorrelation,  Gaussian integer sequence,  perfect sequence,  difference set,  

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Summary: 
In this letter, based on cyclic difference sets with parameters $(N, rac{N-1}{2}, rac{N-3}{4})$ and complex transformations, a method for constructing degree-4 perfect Gaussian integer sequences (PGISs) with good balance property of length $N'equiv2( ext{mod}4)$ are presented. Furthermore, the elements distribution of the proposed Gaussian integer sequences (GISs) is derived.