Cosine Sum Approximation and Synthesis of Array Antennas

Abstract

The problem of approximating a band-limited function, H(t), by a sum of cosines arises in the design of phased array antennas. Three methods of synthesis are presented for establishing such designs. Error formulae are deduced for each method, including a new error formula for Tchebycheff quadrature. The existence of grating lobes is proved, and lower bounds for their location are developed.