Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 369321, 11 pages
doi:10.1155/2008/369321
Research Article

Cross-Correlation Properties of Costas Arrays and Their Images under Horizontal and Vertical Flips

Konstantinos Drakakis,1,2 Rod Gow,2,3 John Healy,1,2 and Scott Rickard1,2

1School of Electrical, Electronic & Mechanical Engineering, University College Dublin, Belfield, Dublin 4, Ireland
2Claude Shannon Institute, UCD CASL, University College Dublin, Belfield, Dublin 4, Ireland
3School of Mathematics, University College Dublin, Belfield, Dublin 4, Ireland

Received 18 September 2008; Accepted 29 November 2008

Academic Editor: Fernando Lobo Pereira

Copyright © 2008 Konstantinos Drakakis et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We consider the cross-correlation of a Costas array with its image under a horizontal and/or a vertical flip. We propose and prove several bounds on the maximal cross-correlation and on its value at the origin, for both general Costas arrays and for algebraically constructed ones.