DocumentCode
940510
Title
Aperiodic correlations and the merit factor of a class of binary sequences (Corresp.)
Author
Hoholdt, Tom ; Jensen, Helge Elbrond ; Justesen, Jorn
Volume
31
Issue
4
fYear
1985
fDate
7/1/1985 12:00:00 AM
Firstpage
549
Lastpage
552
Abstract
A class of binary sequences of length
is considered, and it is shown that their aperiodic autocorrelations can be calculated recursively in a simple way. Based on this, the merit factor of the sequences is calculated and it is shown that the asymptotic value is
. Finally, it is proved that the magnitude of the maximal aperiodic autocorrelation is bounded by
.
is considered, and it is shown that their aperiodic autocorrelations can be calculated recursively in a simple way. Based on this, the merit factor of the sequences is calculated and it is shown that the asymptotic value is
. Finally, it is proved that the magnitude of the maximal aperiodic autocorrelation is bounded by
.Keywords
Correlations; Sequences; Autocorrelation; Binary sequences; Circuit theory; Shift registers;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.1985.1057071
Filename
1057071
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