一种获取非相干分布源空间分布的算法
doi: 10.3724/SP.J.1146.2013.00601
A Method to Obtain the Spatial Distribution of Incoherently Distributed Sources
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摘要: 多数分布式信号源DOA估计算法是估计中心到达角和分布参数,不能获取真实的分布曲线,而且可能需要2维搜索,运算量大。该文在假设分布曲线形状为钟形对称的前提下,提出一种求非相干分布式信号源空间分布的算法。该算法引入稀疏信号重建作为数学工具,在阵元数充足的条件下能求解多个信号源的分布,在阵元数较少时也能得到近似求解。此外,该算法估计中心到达角的性能不逊于现存算法,且无需2维搜索,运算量低。仿真验证了以上结论。Abstract: Most DOA estimation algorithms of distributed sources only estimate central angle of the arriving signal and its distribution parameters. These methods can not obtain the real distribution curve, and may require a two-dimensional search which costs a large amount of computation. In this paper, a method to obtain distribution curves is proposed on the assumption that the distribution curves are bell-shaped and symmetrical. Furthermore, the sparse signal reconstruction is introduced as mathematical tools, and it works well in the condition of sufficient number of array elements and can still obtain an approximate solution with insufficient array elements. In addition, its performance to estimate the central angle of arriving signal is not worse than the existing algorithm. Without requirement for a two-dimensional search, this method has lower computational complexity. Simulations verify the above conclusions.
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