DocumentCode :
907027
Title :
Generalized Barker sequences
Author :
Golomb, S.W. ; Scholtz, R.A.
Volume :
11
Issue :
4
fYear :
1965
fDate :
10/1/1965 12:00:00 AM
Firstpage :
533
Lastpage :
537
Abstract :
A generalized Barker sequence is a finite sequence {a_{r}} of complex numbers having absolute value 1 , and possessing a correlation function C(\\tau ) satisfying the constraint |C(\\tau )| \\leq 1, \\tau \\neq 0 . Classes of transformations leaving |C(\\tau )| invariant are exhibited. Constructions for generalized Barker sequences of various lengths and alphabet sizes are given. Sextic Barker sequences are investigated and examples are given for all lengths through thirteen. No theoretical limit to the length of sextic sequences has been found.
Keywords :
Correlation functions; Sequences; Autocorrelation; NASA; Power generation; Propulsion; Testing;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1965.1053828
Filename :
1053828
Link To Document :
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