Accession Number : ADA136200

Title :   Construction and Properties of Costas Arrays.

Descriptive Note : Final progess rept. 1 Jul 80-30 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 two-dimensional 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