Phase-Only Nulling for Uniform Linear Array via Kronecker Decomposition

This paper presents a novel beam-forming algorithm and its application to phase-only nulling. The proposed algorithm aims to achieve the interference nulling only by modulate phases so that we can reduce cost when setting phase shifter. This algorithm is based on the Kronecker decomposition. We can decompose the steering vector and weight vector into the form of Kronecker product because of their Vandermonde structures. With Kronecker decomposition, the weight vector design can be transformed into the design for several sub-vectors. According to the theory of beam forming and interference nulling, we are able to get analytical solutions when designing the desired weight vector and its complexity is low. Simulation results are provided to demonstrate the performance of the proposed algorithm.