Abstract: A real-valued extended propagator method algorithm based on virtual interpolated array named VIA-EPM real-valued algorithm was proposed to solve the utilization of Virtual Interpolated Array (VIA) in the non-circular Direction Of Arrival (DOA) algorithm. The real array output was virtually transformed by utilizing transformation matrix which was obtained through the real array manifold and virtual array manifold. The real part and imaginary part of the transformed array output were obtained, which could be reconstructed in series to extend dimensions according to the characteristic that the signal sources are real-valued, and then a Propagator Method (PM) DOA estimation algorithm was obtained after splitting the extended array output matrix. The simulation results show that, if sensor position errors exist, the performance of the new algorithm is similar to the calibrated extended propagator method real-valued algorithm (EPM real-valued algorithm) by using VIA for the calibrated sensor position data, and this algorithm also keeps the performance in array extension, high accuracy and high resolution, and the performance of the new algorithm is obviously better than the non-calibrated EPM real-valued algorithm in the case of two-dimension sensor position errors. Analysis of the computational complexity of VIA-EPM real-valued algorithm concludes that the new algorithm has the advantage of virtual interpolated array and non-circular characteristic, and its computational complexity is much lower than complex-valued algorithm.

Key words: array signal processing, Direction Of Arrival (DOA) estimation algorithm, extended propagator, real-valued algorithm, Virtual Interpolated Array (VIA)

摘要： 针对内插阵列变换(VIA)思想在非圆信号波达方向(DOA)估计算法中的应用问题，提出一种基于内插阵列变换的扩展传播算子实值算法——VIA-EPM实值算法。利用真实阵列流型与虚拟阵列流型之间的变换矩阵，将真实阵列输出转换为虚拟阵列输出，再根据信号源为实数的特点，分别求取虚拟阵列输出的实部和虚部，将其串联组合，扩展阵列输出的维数，通过对扩展阵列输出矩阵进行分块并得出扩展传播算子，进而得到一种传播算子(PM)类的DOA估计算法。仿真实验表明：存在阵元位置误差的情况下，VIA-EPM实值算法通过对阵元位置校准数据进行内插阵列变换，取得与阵元位置校准的扩展传播算子实值算法(EPM实值算法)相当的估计性能，保持了阵列扩展能力、高估计精度以及高分辨力；并且在二维阵元位置误差情况下，其估计性能明显优于阵元位置未校准的EPM实值算法。结合VIA-EPM实值算法的计算复杂度分析可以看出：它同时获得了内插阵列变换技术以及信号非圆特性的优势;与复运算相比，其复杂度也相对降低。

关键词: 阵列信号处理, 波达方向估计算法, 扩展传播算子, 实值算法, 内插阵列变换