Title :
The density of Costas arrays and three-free permutations
Author :
Correll, Bill, Jr.
Author_Institution :
Gen. Dynamics Adv. Inf. Syst., Ypsilanti, MI, USA
Abstract :
We describe how 3-free permutations might be used to improve Davies´s density result for Costas arrays. We associate both Costas arrays and 3-free permutations with a pair consisting of a lattice point and a hyperplane arrangement to establish relationships between the two and compare how the exponential decay predicted by bounds on the number of 3-free permutations compares with a claim of Drakakis.
Keywords :
matrix algebra; Davies density; Drakakis; costas array density; exponential decay prediction; hyperplane arrangement; lattice point; square matrix; three-free permutation; Array signal processing; Conferences; Lattices; Sonar; Time frequency analysis; Upper bound; Vectors; Costas array; density; detection; frequency hopping;
Conference_Titel :
Statistical Signal Processing Workshop (SSP), 2012 IEEE
Conference_Location :
Ann Arbor, MI
Print_ISBN :
978-1-4673-0182-4
Electronic_ISBN :
pending
DOI :
10.1109/SSP.2012.6319740
