基于单快拍空间平滑的多伯努利DOA跟踪算法

针对阵列信号处理中单快拍情况下的多源时变波达方向(direction of arrival, DOA)跟踪问题, 提出了一种基于单快拍空间平滑的多伯努利DOA跟踪算法。首先，利用多伯努利随机有限集(random finite set, RFS)描述状态过程的随机性, 并直接利用从传感器阵列中获得单快拍量测。其次, 采用空间平滑技术对单快拍量测进行处理, 得到伪协方差矩阵, 并进行奇异值分解。最后，用多重信号分类(multiple signal classification, MUSIC)谱函数作为伪似然函数进行多伯努利DOA跟踪。仿真结果表明, 该算法能实时有效跟踪单快拍量测下的时变信源DOA状态, 且能准确估计信源个数。

DOA tracking algorithm based on single snapshot spatial smoothing with multi-Bernoulli

Aiming at the problem of multisource time-varying direction of arrival (DOA) tracking in the case of single snapshot in array signal processing, a multi-Bernoulli filter DOA tracking algorithm based on single snapshot spatial smoothing is proposed. Firstly, the Bernoulli random finite set (RFS) is employed to characterize the randomness of the state process, and a single snapshot measurement is acquired directly from the sensor array. Then, the space smoothing technology is used to preprocess the single snapshot measurement. According to the data of after the smooth pseudo covariance matrix is constructed and singular value decomposition. Finally, the multiple signal classification (MUSIC) spectrum function is generated as a pseudo-likelihood function for multi-Bernoulli recursive DOA tracking. The simulation results show that the algorithm can effectively track the DOA state of time-varying sources in real-time and accurately estimate the number of sources.