Crosscorrelation properties of algebraically constructed Costas arrays
Abstract
The problem of determining the crosscorrelation properties of signals based on algebraically constructed Costas arrays is addressed by examining the discrete crosscorrelation of the algebraically constructed Costas arrays for a given construction and dimension. Finding two arrays that minimally correlate implies that the signals based on these arrays also minimally correlate. The properties of finite fields are reviewed, and the major algebraic constructions for Costas arrays are presented, i.e., the Welch construction and the Golomb construction. The discrete crosscorrelation properties of the Costas arrays are derived for arrays of the same dimension derived from the same construction. The use of Costas arrays in the signal design problem is discussed, and examples are given to show the crosscorrelation of the signals based on the algebraically constructed arrays.
 Publication:

IEEE Transactions on Aerospace Electronic Systems
 Pub Date:
 January 1991
 DOI:
 10.1109/7.68142
 Bibcode:
 1991ITAES..27....2D
 Keywords:

 Cross Correlation;
 Matrices (Mathematics);
 Signal Processing;
 Two Dimensional Models;
 Continuous Radiation;
 Doppler Effect;
 Primitive Equations;
 Spatial Resolution;
 Communications and Radar