基于Wishart随机矩阵渐近分布理论的信息融合直接定位方法

Yanqing Ren, Bin Ba, Zhiyu Lu, Daming Wang
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引用次数: 0

摘要

传统的多站直接定位方法由于缺乏对原始数据的位置信息融合,存在定位精度损失和源分辨率降低的问题。针对上述缺点,提出了一种基于Wishart随机矩阵渐近分布理论的信息融合直接定位方法。首先,通过融合各站点的原始数据,建立信息融合直接定位模型;然后利用Wishart随机矩阵渐近分布理论构造了新的包含特征空间的代价函数。最后,通过二维地理网格搜索得到目标位置估计。进一步推导了新模型的Cramer-Rao界。仿真结果表明,该方法在定位精度和源分辨率上均优于原方法。在低信噪比和快照不足的情况下,它往往优于仅包含噪声子空间的代价函数的信息融合直接定位方法。它的性能得到了极大的提高,但代价是降低了复杂性。
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An information fusion direct position determination method based on Wishart random matrix asymptotic distribution theory
The traditional multiple-station direct position determination method suffers location accuracy loss and source resolution degradation for the lack of position information fusion of raw data. And an information fusion direct position determination method based on Wishart random matrix asymptotic distribution theory is proposed to overcome the above-mentioned shortcomings. Firstly, the information fusion direct position determination model is established via fusing raw data of each station. Then the new cost function containing eigenspace is constructed with theory of Wishart random matrix asymptotic distribution. Finally, the target location estimation is obtained by two-dimensional geographic grid search. Furthermore, the Cramer-Rao bound of the new model is derived. Compared with the original method, the proposed method performs much better in location accuracy and source resolution by simulations. And it frequently outperforms the information fusion direct position determination method with the cost function only containing noise subspace, under scenarios of low SNR and snapshot deficiency. Its performance has been greatly improved at the expense of lower complexity.
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