An Efficient Approach to Pattern Synthesis with Accurate Response Control for Arbitrary Arrays

This paper presents two strategies for accurate response control for arbitrary arrays: Multi-Point Accurate Response Control (ARC-MP) and Single-Point Accurate Response Control (ARC-SP). By analyzing the characteristics of the optimal weight vector in adaptive beamforming, we demonstrate that it can be expressed as a linear combination of the original weight vector and its projections onto the interference steer vectors. The ARC-MP method formulates the accurate response control problem as an unconstrained optimization task, yielding a closed-form solution that establishes a theoretical foundation for pattern synthesis. In contrast, the ARC-SP method focuses on accurate response control at a single point, significantly simplifying the computational complexity. Both ARC-MP and ARC-SP exhibit substantial advantages over existing methods by eliminating the need to select parameters from a predefined set, thereby significantly reducing computational complexity. Furthermore, the paper introduces the proposed ARC-SP and ARC-MP algorithms for enabling pattern synthesis for arbitrary arrays. The efficacy of the proposed methods is validated through some various classic scenarios, which illustrate that the ARC-SP and ARC-MP algorithms can achieve pattern synthesis through accurate response control. The methods presented in this paper offer substantial contributions to antenna pattern synthesis and hold potential applications in diverse communication and radar systems.