A Square representation technique for locating frequencies that have maximum autocorrelations

Document Type : Regular Paper


Department of Mathematics, School of Sienses, Shiraz University, Shiraz, Iran


From the early 1950s, estimating the autocorrelations of polynomials with coefficients on the unit circle has found applications in Ising spin systems and in surface acoustic wave designs. In this paper, a technique is introduced that not only estimates the autocorrelations, but for some special types of such polynomials, it locates the frequencies at which maximum autocorrelation occurs.