K-means-based Sub-arrayed Synthesis of Phased Array Antennas forGenerating Arbitrary-shaped Beams

keywords:phased array  arbitrary-shaped beam  sub-arrayed synthesis  excitation matching  K-means method

Abstract:Conventional phased arrays can no longer meet the growing demand for applications due to their design complexity and high cost, but techniques such as subarray partitioning have better solved this problem. In this paper, an arbitrarily shaped beam phased array subarray synthesis method is proposed to transform the subarray synthesis problem into a subarray layout optimization one under an excitation matching strategy, while the complex excitation of the subarray can be analytically calculated from the reference array excitation. The subarray layout optimization problem is solved by an unsupervised clustering K-means method, which can optimize the excitation phase of the subarray simultaneously, increasing the freedom and flexibility of the subarray synthesis. The effectiveness of the proposed method is verified by comparing with the traditional intelligent optimization method in terms of pattern approximation, excitation matching cost function, array performance parameters and computational efficiency in the numerical calculation example of subarray synthesis for arbitrarily shaped beams.