DocumentCode :
1539597
Title :
The Triple Autocorrelation of an 
-Sequence is a Lempel Costas Array
Author :
Drakakis, Konstantinos ; Gow, Roderick ; Rickard, Scott
Author_Institution :
Complex and Adaptive Systems Laboratory, University College Dublin, Dublin, Ireland
Volume :
58
Issue :
9
fYear :
2012
Firstpage :
6047
Lastpage :
6053
Abstract :
The triple autocorrelation of a sequence is shown to be a Lempel Costas array iff the sequence is maximal, assuming correlation is appropriately defined and the alphabet of the sequence is of prime size. A method that allows the construction of thumbtack autocorrelation sequences of arbitrary alphabet size is subsequently proposed.
Keywords :
Adaptive systems; Arrays; Correlation; Educational institutions; Phase shift keying; Polynomials; Vectors; ${m}$ -sequences; Costas arrays; Golomb arrays; Lempel arrays; multichannel phase shift keying (PSK) modulation; triple correlation;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2012.2204541
Filename :
6217309
Link To Document :
