基于子空间拟合的多径信道时延估计分析
Analysis of multipath channel delay estimation using subspace fitting
摘要：
在室内和城市无线电传播场景中，丰富的散射的存在可能导致多径分量（MPC）的高到达密度。MPC通常成簇到达接收器，其中一个簇内的MPC具有相似的角度和延迟。到达单个集群内的MPC通常在延迟域中是不可解析的。在本文中，我们分析了未解决的MPC的延迟估计的偏差与多带子空间拟合算法的影响。我们把未解决的MPC作为一个模型误差，导致扰动子空间估计。从一阶近似的扰动，我们推导出的视线（LOS）组件的延迟估计的偏差。我们表明，它取决于功率和相对延迟的未解决的MPC在第一集群相比，LOS组件。数值实验表明，推导出的偏差表达式很好地描述了未解决的MPC的延迟估计的影响。
英文摘要：
The presence of rich scattering in indoor and urban radio propagation scenarios may cause a high arrival density of multipath components (MPCs). Often the MPCs arrive in clusters at the receiver, where MPCs within one cluster have similar angles and delays. The MPCs arriving within a single cluster are typically unresolvable in the delay domain. In this paper, we analyze the effects of unresolved MPCs on the bias of the delay estimation with a multiband subspace fitting algorithm. We treat the unresolved MPCs as a model error that results in perturbed subspace estimation. Starting from the first-order approximation of the perturbations, we derive the bias of the delay estimate of the line-of-sight (LOS) component. We show that it depends on the power and relative delay of the unresolved MPCs in the first cluster compared to the LOS component. Numerical experiments are included to show that the derived expression for the bias well describes the effects of unresolved MPCs on the delay estimation.
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