近场源频率、二维到达角和距离的联合估计

Joint Frequencies,Two-Dimensional Arrival Angles and Ranges Estimation of Multiple Near-Field Sources

文章基于四阶累积量提出了一种多个独立非高斯窄带近场源频率、二维到达角和距离的联合估计算法。该算法首先构造六个四阶累积量矩阵,由它们组成五个矩阵对,然后对五个矩阵对进行广义值分解并对广义特征值进行配对,由配对后的广义特征值求得中间参数,最后由中间参数解出各个近场源的参数。该算法无需任何搜索,而且只需五个阵元放置在固定的位置,对阵列的其它阵元并无要求。由于采用四阶累积量,所以该算法适用于任意高斯噪声环境。计算机仿真结果证实了该算法的有效性。

A fourth-order cumulants-based algorithm is presented for joint frequencies, two-dimensional arrival angles and ranges estimation of incoming multiple independent non-Gaussian narrow-band near-field sources.The algorithm firstly constructs six fourth-order cumulant matrices, then computes the generalized eigenvalues of the five matrix pairs formed by the six constructed matrices. We can get several medium parameters after pairing the generalized eigenvalues.The parameters of near-field sources will be solved from the medium parameters.The proposed algorithm needs only a subarray consisting of five antennas configured in a certain fashion,other elements of the array may have arbitrary and unknown response and geometry. It gives the estimation result without any spectral serching and can be employed to abitray Guaussian noise environment. Simulations are provided to illustrate the effectiveness of the proposed algorithm.