DocumentCode :
937222
Title :
The merit factor of Legendre sequences (Corresp.)
Author :
Golay, Marcel J.E.
Volume :
29
Issue :
6
fYear :
1983
fDate :
11/1/1983 12:00:00 AM
Firstpage :
934
Lastpage :
936
Abstract :
Turyn has shown by numerical computation that the merit factor of long Legendre sequences offset by a quarter of their length has in all likelihood the asymptotic value 
. The ergodicity postulate is used in this correspondence to calculate that the merit factor 
of a Legendre sequence offset by a fraction 
of its length has an asymptotic value given by 
, which gives 
for 
.
. The ergodicity postulate is used in this correspondence to calculate that the merit factor of a Legendre sequence offset by a fraction of its length has an asymptotic value given by , which gives for .Keywords :
Sequences; Autocorrelation; Error correction codes; Linear code; Sufficient conditions; Upper bound; Vectors; Writing;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1983.1056744
Filename :
1056744
Link To Document :
