MPARC: A fast beampattern synthesis algorithm based on adaptive array theory

Abstract

Abstract This paper presents a multi-point array response control (MPARC) algorithm to realize fast beampattern synthesis. The MPARC algorithm stems from adaptive array theory, and it can adjust the array response at multiple angles, either simultaneously or individually. The designed weights are constructed as a linear combination of an initial weight vector and multiple steering vectors multiplied by different complex factors. Since the update of the designed weights would change the beampattern in the entire spatial domain, the minimum pattern distortion criterion is established to design the complex factors, and a closed-form weight vector is obtained. Moreover, a pattern synthesis scheme based on the MPARC algorithm is presented to synthesize focused and shaped beampatterns efficiently. The comparison with the existing oblique projection-based algorithms shows that the presented MPARC algorithm can achieve multi-point response adjustment with much lower computational complexity, and the angle omission problem is addressed in this paper. Numerical results are provided to demonstrate the performance of the MPARC algorithm in array response control and the efficiency in pattern synthesis.