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首页> 外文期刊>IEEE Transactions on Aerospace and Electronic Systems >Decorrelation of broadband signals by Toeplitz-Block-Toeplitz structuring
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Decorrelation of broadband signals by Toeplitz-Block-Toeplitz structuring

机译：通过Toeplitz-Block-Toeplitz结构对宽带信号进行解相关

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摘要

We propose F-norm of the cross-correlation part of the array covariance matrix as a measure of correlation between the impinging signals and study the performance of different decorrelation methods in the broadband case using this measure. We first show that dimensionality of the composite signal subspace, defined as the number of significant eigenvectors of the source sample covariance matrix, collapses in the presence of multipath and the spatial smoothing recovers this dimensionality. Using an upper bound on the proposed measure, we then study the decorrelation of the broadband signals with spatial smoothing and the effect of spacing and directions of the sources on the rate of decorrelation with progressive smoothing. Next, we introduce a weighted smoothing method based on Toeplitz-block-Toeplitz (TBT) structuring of the data covariance matrix which decorrelates the signals much faster than the spatial smoothing. Computer simulations are included to demonstrate the performance of the two methods.
机译：我们提出阵列协方差矩阵互相关部分的F范数作为撞击信号之间相关性的度量，并使用该度量研究宽带情况下不同解相关方法的性能。我们首先显示，复合信号子空间的维数（定义为源样本协方差矩阵的有效特征向量的数量）在存在多路径的情况下崩溃，空间平滑恢复了该维数。使用拟议措施的上限，然后我们研究具有空间平滑的宽带信号的去相关性，以及源的间距和方向对渐进平滑去相关率的影响。接下来，我们介绍一种基于数据协方差矩阵的Toeplitz-block-Toeplitz（TBT）结构的加权平滑方法，该方法比空间平滑要快得多。包括计算机仿真来演示这两种方法的性能。

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