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Design of Nonuniformly Spaced Antenna Arrays Using Fourier’s Coefficients Equating Method

An analytic method is proposed to design nonuniformly spaced antenna arrays (NSAAs) to have radiation pattern as close as to that of a previously designed uniformly spaced antenna arrays (USAAs). The desired radiation patterns could be any arbitrary symmetric sum- or difference-type patterns. In this method, called the Fourier’s coefficients equating (FCE) method, the Fourier’s coefficients of array factors of NSAAs are equated to those of USAAs. Some comprehensive examples are given to verify the effectiveness of the FCE method for both sum and difference patterns.