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arXiv 1706.08280cs.ITmath.IT
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基于投影矩阵逼近的宽带子空间估计

Wideband Subspace Estimation Through Projection Matrix Approximation

J. Selva

摘要:

在本文中,我们提出了一种宽带子空间估计方法,通过其正交投影矩阵在每个频率的信号子空间的特征。基本上,该方法将该投影矩阵建模为可以通过多项式近似的频率的函数。它提供了两个改进:沿给定频带表示信号子空间所需的参数数量的减少以及宽带到达方向(DOA)估计器(诸如非相干多信号分类(IC-MUSIC)和投影子空间的修正的可分辨性测试(MTOPS))的质量改进。粗略地说,该方法将多项式拟合到在一组频率处获得的一组投影矩阵估计,然后使用多项式作为信号子空间的表示。本文包括推导渐近界的偏差和均方根(RMS)误差的投影矩阵估计和数值评估的方法,并结合前两个波达方向估计。

英文摘要:

In this paper, we present a wideband subspace estimation method that characterizes the signal subspace through its orthogonal projection matrix at each frequency. Fundamentally, the method models this projection matrix as a function of frequency that can be approximated by a polynomial. It provides two improvements: a reduction in the number of parameters required to represent the signal subspace along a given frequency band and a quality improvement in wideband direction-of-arrival (DOA) estimators such as Incoherent Multiple Signal Classification (IC-MUSIC) and Modified Test of Orthogonality of Projected Subspaces (MTOPS). In rough terms, the method fits a polynomial to a set of projection matrix estimates, obtained at a set of frequencies, and then uses the polynomial as a representation of the signal subspace. The paper includes the derivation of asymptotic bounds for the bias and root-mean-square (RMS) error of the projection matrix estimate and a numerical assessment of the method and its combination with the previous two DOA estimators.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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