Title :
Some results on the degrees of freedom of Costas arrays
Author :
Drakakis, Konstantinos
Author_Institution :
UCD CASL, Univ. Coll. Dublin, Dublin, Ireland
Abstract :
We study the number of degrees of freedom of Costas arrays, and we find they are surprisingly few. We also prove partial results about Golomb and Welch Costas arrays, while, for the latter, we also make a curious observation.
Keywords :
matrix algebra; sonar detection; Golomb arrays; Welch Costas arrays; degrees of freedom; sonar detection; square matrices; Autocorrelation; Educational institutions; Frequency; Galois fields; H infinity control; Joining processes; Mechanical engineering; Sonar detection; User centered design; Vectors; Costas arrays; Golomb method; Welch method; degrees of freedom; finite fields; primitive roots;
Conference_Titel :
Information Sciences and Systems (CISS), 2010 44th Annual Conference on
Conference_Location :
Princeton, NJ
Print_ISBN :
978-1-4244-7416-5
Electronic_ISBN :
978-1-4244-7417-2
DOI :
10.1109/CISS.2010.5464749
