一种新的近场源三维参数联合估计方法

New method for joint estimation of 3-dimensional parameters of near field sources

提出了一种新的近场源频率、波达方向和距离的三维参数联合估计算法。基于阵列接收数据的高阶累积量,构造了三个适当的矩阵束,它们的广义特征值的相位给出频率、到达方向和距离的估计,同时其特征值的幅度实现三维参数的自动配对。该算法的参数估计有闭式解,无需复杂的搜索过程,且其参数自动配对。由于算法使用了四阶累积量,所以适用于任意结构的加性高斯噪声环境。计算机仿真实验证实了所给算法的有效性。

A new algorithm for jointly estimate frequency, direction-of-arrival （DOA） and range of near field sources is presented. Based on the higher order statistics of the data received by the array, three matrix pencils are elaborately constructed. The phases of the generalized eigenvalues of these matrix pencils give the estimates of frequency, DOA and range, while their amplitudes can automatically pair the three dimensional parameters. Without spectral peak searching and pairing among parameters, the proposed algorithm gives closed form solutions to the three dimensional parameters. In addition, it can be applied to arbitrary additive Gaussian noise environments since fourth-order cumulants are exploited. Its effectiveness is verified by computer simulation results.