联合稀疏贝叶斯学习与子空间的近场信号源定位

Source Localization of Joint Subspace and Sparse Bayesian Learning in the Near Field

  • 摘要: 针对基于L1范数优化的近场信号源定位算法需要选取正则化参数、计算量大、精确度不高等问题,提出了一种联合稀疏贝叶斯学习理论和子空间方法的近场源定位算法。该算法首先将近场双参数模型进行分离,将近场源的二维参数估计问题转化为虚拟远场的一维波达方向估计问题。然后运用稀疏贝叶斯理论消除基的方式高效地计算出波达方向,在估计出波达方向之后再根据子空间方法估算距离。和基于L1范数优化的近场信号源定位算法相比,所提算法不需要选取正则化参数,估计误差小。通过计算机仿真,验证了算法的可行性与高效性。

     

    Abstract: Source localization in the near field based on L1-regularization least square minimization involve some problems such as requiring to select the regularization parameter, large computation complexity and lower estimate accuracy. In order to solve these problems, a near field source localization algorithm is proposed by combining subspace and sparse Bayesian learning in this paper. Through separating the two parameters of bearings and ranges, the two-dimensional parameter estimation problem is first transformed into one-dimensional parameter estimation one. The sparse Bayesian learning theory is used to calculate the bearings efficiently then. After that, the problem of ranges estimation can be solved by subspace method. Compared with the L1-regularization least square minimization method, the proposed method does not needs to choose regularization parameter and shows lower estimate errors. In addition, simulation results are given to illustrate the effectiveness and efficiency of the proposed method.

     

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