New methods for calculation of Dolph-Chebyshev and Barsilon-Temes window functions and their modifications

Abstract

Results of detailed theoretical studies of widely used Dolph-Chebyshev and Barsilon-Temes windows are presented. It is proved that the normalized spectrums of these windows are identically determined by a finite number of cosine functions. In the case of application of Chebyshev functions of the first and second kinds of even order, cosine functions of even arguments are used, and cosine function of odd arguments are used for Chebyshev functions of an odd order. Using the sum of Dolph-Chebyshev and BarsilonTemes window functions defined by a sequence of Chebyshev functions of adjacent orders, new window functions with a standard main lobe and essentially suppressed sidelobes are developed.