基于圆模型泰勒重构的稳健宽带波束形成器设计

Design of Robust Broadband Beamformers Using Circular-model-mismatches Based on Taylor Series Expansion

目的:提出一种改良的稳健宽带波束形成器设计方法。方法:基于现有失配误差圆模型设计方法,利用泰勒公式对失配误差圆模型进行重构和改写,提出修正的基于最差性能优化的稳健设计代价函数,并利用凸优化理论完成优化设计。结果:该方法优化了设计步骤,并在不同阻带参数约束下进行仿真实验。提出的方法能够在适当的条件下获得与原方法相当的波束响应性能,更重要的是,能够在苛刻的约束条件下,不牺牲稳健性能的同时保证波束响应通带性能。结论:该方法克服了原设计方法的不足,在保证波束响应稳健性能的前提下,提高了苛刻设计参数下的宽带波束形成器性能。

Objective:An improved robust design method of broadband beamformers is proposed.Methods:The Taylor series expansions are used to reconstruct and rewrite the mathematical formulas of CM mismatches,and a new cost function is proposed based on the worst case performance optimization criterion,and the convex optimization problem is illustrated.Results:Theoretical and simulation analysis show that the proposed design can simplify the design steps.Moreover,the proposed design obtains the equivalent performance with the existing counterparts under appropriate constraint under the condition of small sensor mismatch errors,and earns more robustness and better response performance when constraint is chosen tightly.Conclusion:The proposed method overcomes the shortcomings of the existing counterparts,and ensures a better robust performance of broadband beamformers with strict constraint.