
Accession Number : ADA136200
Title : Construction and Properties of Costas Arrays.
Descriptive Note : Final progess rept. 1 Jul 8030 Sep 83,
Corporate Author : UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES COMMUNICATION SCIENCES INST
Personal Author(s) : Golomb,Solomon W ; Taylor,Herbert
PDF Url : ADA136200
Report Date : 30 Nov 1983
Pagination or Media Count : 64
Abstract : A Costas array is an nXn permutation matrix which, when regarded as a frequency hopping pattern (n frequencies vs. n time intervals) has an optimum ambiguity function, i.e., at most one coincidence for each shift in both time and frequency. Several systematic infinite families of constructions for Costas arrays have been found, all involving primitive roots in finite fields. A summary of the known constructions is presented for all n equal to or less than 360. The smallest case for which no construction has yet been found is n = 32. The total number of distinct Costas arrays has been enumerated for n equal to or less than 12, and all the individual Costas arrays are illustrated for n equal to or less than 8. These arrays are useful as frequency hopping patterns for radar and sonar signals, and as patterns for achieving twodimensional alignment and synchronization. (Author)
Descriptors : *Arrays, *Frequency agility, *Matrices(Mathematics), *Antenna arrays, *Sonar arrays, *Radar antennas, Doppler systems, Coincidence counting, Sonar signals, Frequency shift, Permutations, Radar signals, Time intervals, Ambiguity, Optimization, Radar, Frequency, Functions
Subject Categories : Theoretical Mathematics
Acoustic Detection and Detectors
Countermeasures
Active & Passive Radar Detection & Equipment
Distribution Statement : APPROVED FOR PUBLIC RELEASE