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对空间多个窄带信号源的高分辨波达方向估计是雷达、声纳和地震等信号处理中的重要问题之一。为克服一些获取波达方向估计最大似然解算法存在的局部极值问题 ,提高估计精度 ,本文以作者提出的实数遗传算法为搜索工具 ,寻求波达方向最大似然估计的非线性全局最优解。所提出的实数遗传算法由含实数域结构和目标函数信息的实数交叉和变异算子构成 ,是较理想的获取非线性实变量函数全局最优解的方法。对非相参和全相参信源波达方向估计问题的数字仿真结果表明 ,本方法的估计精度明显优于交替极值等一些常规方法。
High-resolution DOA estimation of multiple narrowband signal sources in space is one of the important issues in signal processing such as radar, sonar and seismic. In order to overcome some local extremum problems and to improve the estimation accuracy, this paper proposes a real-world genetic algorithm proposed by the author as a search tool to find the nonlinear global optimum in the maximum likelihood of the DOA solution. The proposed real-number genetic algorithm is composed of real-number crossover and mutation operator with real-number domain structure and objective function information, which is an ideal method to obtain the global optimal solution of nonlinear real variable function. The numerical simulation results of DOA estimation for non-coherent and coherent sources indicate that the proposed method has better estimation accuracy than some conventional methods such as alternating extremum.