基于变换域APSO的任意阵列宽带DOA估计算法

为了提高宽带信号来波方向（Direction-of-arrival， DOA）估计精度并降低计算复杂度， 本文结合已知的发射信号波形， 提出了一种基于变换域加速粒子群最优化（Accelerated Particle Swarm Optimization， APSO）的宽带DOA估计算法， 该算法适用于任意阵列和低采样率情况。首先对阵列接收数据进行匹配滤波以及傅里叶变换处理，其次根据频域宽带阵列数据模型，利用确定性极大似然（Deterministic Maximum Likelihood， DML）准则构建宽带DOA估计的空间谱函数，然后采用变换域APSO算法对空间谱函数进行最大值搜索，搜索结果即为DOA估计值。该算法无需DOA预估计，不依赖空间谱函数的梯度信息，计算复杂度低。仿真实验表明，所提算法具有高估计精度和低计算复杂度，在信噪比为20?dB时，DOA估计均方根误差为0.02°。 

Based-on Transformed-domain Accelerated Particle Swarm Optimization Wideband DOA Estimation Algorithm for Arbitrary Arrays

? ?In order to improve the accuracy of the direction-of-arrival （DOA） estimation of wideband signals and reduce the computational cost， this paper proposed a based-on transformed-domain Accelerated Particle Swarm Optimization （APSO） wideband DOA algorithm in combination with known transmit signal waveforms， which is suitable for arbitrary arrays and low sampling rate cases. Firstly， matched filtering and Fourier Transform were performed on the received arbitrary array data. Secondly， the objective function for wideband DOA estimation was constructed with the Deterministic Maximum Likelihood （DML） criteria according to wideband array data model in frequency domain. Thirdly， the maximum value of the objective function which was the DOA estimated value was found by using the transformed-domain APSO algorithm. The proposed algorithm has low computational complexity since do without DOA pre-estimation and gradient information of the objective function. Simulation experiments show that the proposed algorithm has high DOA estimation accuracy and small computation cost. When signal-to-noise ratio is 20 decibels， the DOA estimation root mean-square error of the proposed algorithm is 0.02 degrees.