Title :
Families of sequences with optimal Hamming-correlation properties
Author :
Lempel, Abraham ; Greenberger, Haim
fDate :
1/1/1974 12:00:00 AM
Abstract :
The unnormalized Hamming correlation between two sequences of equal length is the number of positions in which these sequences have identical symbols. In this paper, lower bounds on the out-of-phase autocorrelation and on the cross correlation of sequences of given length and alphabet size are derived. A method of constructing families of sequences that uniformly realize these hounds is presented.
Keywords :
Sequences; Autocorrelation; Binary sequences; Galois fields; Length measurement; Linear feedback shift registers; Performance evaluation; Polynomials; Position measurement; Q measurement;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.1974.1055169
