Weighted Alternating Projection Method Synthesizing Nonuniform Linear Array Pattern

Alternating projection method combined with Fast Fourier Transform technique solves uniform linear array pattern synthesis effectively, but it's not valid for non-uniform linear array pattern synthesizing. In this paper, the weighted least mean squares method as a reverse operator optimizing element excitations is introduced in an alternating projection method to formulate the weighted alternating projection method. The weighted alternating projection method can synthesize arbitrary antenna array patterns with excitation constraints. This method is employed to optimize non-uniform linear array patterns with low side lobe level and specified beam-forming. The detailed examples, including a comparison with the the results simulated by the commercial 3D electromagnetic field simulation software CST, are presented and illustrate that the proposed method has better performance in lower side lobe level and beam-forming and accelerates convergence.