Searching for the Best Biphase and Quadriphase Quasi-Barker Sequences

Ka Ming HO  Wai Ho MOW  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E89-A   No.9   pp.2341-2344
Publication Date: 2006/09/01
Online ISSN: 1745-1337
DOI: 10.1093/ietfec/e89-a.9.2341
Print ISSN: 0916-8508
Type of Manuscript: Special Section LETTER (Special Section on Sequence Design and its Application in Communications)
Barker sequences,  aperiodic autocorrelation,  peak sidelobe,  window size,  quasi-synchronous applications,  

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Barker sequences have been used in many existing communications and ranging systems. Unfortunately, the longest known biphase and quadriphase Barker sequences are of lengths 13 and 15, respectively. In this paper, we introduce the so-called quasi-Barker sequences which achieve the minimum peak sidelobe level one within a certain window centered at the mainlobe. As our key results, all the best biphase and quadriphase quasi-Barker sequences of lengths up to 36 and 21, respectively, were obtained by an efficient computer search. These sequences may provide better multipath resistance and tracking accuracy in ranging applications.