稳健的波束优化设计及FPGA实现

在分析二阶锥规划(Second-Order Cone Programming,SOCP)算法的基础上,设计了声呐阵列并采用SOCP方法对其波束图进行了优化;根据SOCP的波束优化设计方法,设计了基于FPGA的16元均匀圆阵的波束形成器。目的在于提高波束优化设计的稳健性以及信号处理系统的运算实时性、运算精度等。对FPGA波束形成器的仿真性能进行了分析,主要分析了以下两个方面:首先分析了当权值位数不同时对波束形成器输出的影响,其次分析了波束优化设计方法的抗阵列流形误差的性能。仿真设计结果和实验表明本文方法的有效性。二阶锥波束优化设计的波束图有着良好的稳健性,采用12位权值的FPGA波束形成器,抗阵元位置误差性能也比较好。

FPGA based robust beam optimization design

Based on the analysis of the SOCP (second-order cone optimization) algorithm, the sonar array using SOCP method is designed for the optimization design of beam pattern. According to the SOCP beam optimization design method, a FPGA based uniform circular array of 16 elements is developed. And the purpose is to improve the robustness of beam optimization design, the computing precision and the real-time operation of signal processing system. The simulation performance of FPGA beam forming device is analyzed mainly in the following two aspects: one is to analyze the influence of the bits of weight value on the output of beamformer, the second is to analyze the performance of the beam optimization design method in resisting array-manifold error. Results of both computer simulation and experiment verify the effectiveness of the proposed method. The optimal design of the second-order cone beam pattern is good in robustness. Also the performance of anti picket position error for the 12-bit weight FPGA beamformer is relatively good.