Combinatoric collaboration on Costas arrays and radar applications

Author

Beard, James K. ; Erickson, Keith ; Monteleone, Michael ; Wright, Mike ; Russo, Jon C.

Author_Institution

Lockheed Martin Marine Syst. & Sensors, Moorestown, NJ, USA

fYear

2004

fDate

26-29 April 2004

Firstpage

260

Lastpage

265

Abstract

Costas arrays are permutation matrices that also provide a frequency indexing sequence that permits at most one coincident tone in cross-correlations of FSK waveforms. As such, they have obvious application as frequency indexing sequences in radar and communications when long codes with bounded autocorrelation are required or when Doppler is a significant portion of the transmitted bandwidth. All Costas arrays for orders less than 25 are known, with those for N=24 disclosed in the paper. Higher orders are found through number-theoretic generators and partial searches.

Keywords

frequency shift keying; matrix algebra; radar applications; radar signal processing; Costas arrays; FSK waveforms; applications; coincident tone; combinatoric collaboration; frequency indexing sequence; frequency indexing sequences; number-theoretic generators; partial searches; permutation matrices; Collaboration; Combinatorial mathematics; Frequency shift keying; Indexing; Marine technology; Postal services; Radar applications; Sensor arrays; Sensor systems and applications; Student members;

fLanguage

English

Publisher

ieee

Conference_Titel

Radar Conference, 2004. Proceedings of the IEEE

Print_ISBN

0-7803-8234-X

Type

conf

DOI

10.1109/NRC.2004.1316432

Filename

1316432