DocumentCode :
926353
Title :
A class of balanced binary sequences with optimal autocorrelation properties
Author :
Lempel, Abraham ; Cohn, Martin ; Eastman, Willard L.
Volume :
23
Issue :
1
fYear :
1977
fDate :
1/1/1977 12:00:00 AM
Firstpage :
38
Lastpage :
42
Abstract :
The construction of a class of balanced binary sequences with optimal autocorrelation properties is described. Given any odd prime 
and any positive integer 
, a balanced 
binary sequence of length 
whose cyclic autocorrelation function 
satisfies 
, and, for 
or 
when 
is odd, and 
or 
when is even is constructed. Optimality is proved by showing that every balanced binary sequence has at least two distinct out-of-phase correlation values which are at least as large as those obtained here.
and any positive integer , a balanced binary sequence of length whose cyclic autocorrelation function satisfies , and, for or when is odd, and or when is even is constructed. Optimality is proved by showing that every balanced binary sequence has at least two distinct out-of-phase correlation values which are at least as large as those obtained here.Keywords :
Correlation functions; Sequences; Autocorrelation; Binary sequences; Feedback; Galois fields; Helium; Phase modulation; Polynomials;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1977.1055672
Filename :
1055672
Link To Document :
