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Blind identification using channel length estimation: subspace approach based on CGM

机译:基于信道长度估计的盲识别:基于CGM的子空间方法

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摘要

Subspace methods (SSM) are an effective approach for blind channel identification. However, these methods have two major disadvantages: i) They require a large amount of computation for the eigen-value decomposition (EVD) and the singular-value decomposition (SVD), and ii) they require the prior knowledge of accurate channel length. In this paper, we discuss new algorithm for blind channel identification using the conception of principal component analysis (PCA), which is based on the orthogonality between the subspaces spanned by the column vectors of the impulse response matrix (the impulse response subspace) and the noise-subspace, and using the property of conjugate gradient method (CGM). The new algorithms do not need to calculate both EVD and SVD, and to get the prior knowledge of accurate channel length. Furthermore, the new blind algorithm has computations O(m{sup}2) where m is the data vector length.
机译:子空间方法(SSM)是用于盲信道识别的有效方法。但是,这些方法有两个主要缺点:i)它们需要大量的特征值分解(EVD)和奇异值分解(SVD)计算,并且ii)它们需要准确的信道长度的先验知识。在本文中,我们讨论了基于主成分分析(PCA)概念的盲信道识别新算法,该算法基于脉冲响应矩阵(脉冲响应子空间)的列向量所跨越的子空间与子空间之间的正交性。噪声子空间,并使用共轭梯度法(CGM)的特性。新算法不需要同时计算EVD和SVD,也不需要预先获得准确的信道长度知识。此外,新的盲算法具有计算O(m {sup} 2),其中m是数据矢量长度。

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