Quaternary Sequences with Good Autocorrelation Constructed by Gray Mapping

Ji-Woong JANG  Sang-Hyo KIM  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E92-A   No.8   pp.2139-2140
Publication Date: 2009/08/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E92.A.2139
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Information Theory
sequences,  quaternary sequences,  autocorrelation,  Gray mapping,  

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A quaternary sequence is constructed by Gray mapping of a binary sequence with even period and its shift. The autocorrelation of the new quaternary sequence is the same as that of the binary sequence employed. Quaternary sequences with the maximum autocorrelation 2 can be obtained by the construction for period N≡ 2 ( mod 4).