基于二进制差分进化算法的MIMO 雷达阵列优化

    Array Optimization for MIMO Radar Based on Binary Differential Evolution Algorithm

    • 摘要: 针对智能优化算法在MIMO 雷达稀疏阵列优化中具有条件约束和局部收敛等问题,本文提出一种参数自适应的二进制差分进化(Adaptive Binary Differential Evolution, ABDE)算法。首先,提出一种规范化的编码方式,解决阵元数和孔径约束问题。通过依次添加、去除阵元,并判断操作对目标函数值的影响来决定阵元位置。其次,改进差分进化算法。借鉴和声搜索(Harmony Search, HS)算法,引入随机扰动,从而增加种群的多样性。通过定义一种二进制差分变异方式BDE/ best/1,使父代信息尽量多地传递给子代。然后,提出参数自适应调整策略。利用lo-gistic 函数,构造S 型的种群进化曲线。最后,MIMO 雷达阵列优化设计实验验证了算法的有效性。

       

      Abstract: An adaptive binary differential evolution (ABDE) algorithm is proposed to optimize the sparse array struc- ture of MIMO radar with constrains. The intelligent optimal algorithms always convergence in the local zone, which can be solved with the proposed approach, in certain conditions. Firstly, a canonical encoding method is proposed to cope with the constrains of arrays aperture and the limited number of elements. According to the effect of exchange elements, the arrays' structures are confirmed. Secondly, the differential evolution algorithm is improved. Referring to the harmony search algo- rithm, the random disturbing mutation is added in the proposed method to improve the diversity of populations. To conveying more information of parent to the new generation, a binary differential mutation fashion BDE/ best/1 is utilized. Then, an a- daptive adjusting strategy of coefficients to change the property of mutation is proposed, which conducts the populations to e- volve along S curve with logistic function. In the final, the effectiveness of the proposed algorithm is verified in the MIMO ra- dar arrays design.

       

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