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A note on redundancy averaging

机译:关于冗余平均的注释

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摘要

It is well known that the performance of direction-of-arrival estimation and beamforming algorithms degrades in the presence of correlated signals. Since techniques like spatial and weighted smoothing, which were developed for decorrelating the signals, suffer from reduced effective aperture, several authors have recently proposed redundancy averaging as an alternative spatial averaging method. Considering a two-source signal model and the asymptotic case, the authors show analytically that this technique results in an eigenstructure which is inconsistent with that of the underlying signal model. In particular, the resulting signal subspace fills up the whole M-dimensional space, where M is the array size, and the resulting covariance matrix is not guaranteed to be nonnegative definite. It is shown that complete decorrelation is not possible with this method even if the array size is infinitely large.
机译:众所周知,在存在相关信号的情况下,到达方向估计和波束成形算法的性能会降低。由于为消除信号相关性而开发的诸如空间平滑和加权平滑之类的技术遭受了有效孔径减小的困扰,因此,几位作者最近提出了冗余平均作为替代的空间平均方法。考虑到两源信号模型和渐近情况,作者分析表明,该技术导致本征结构与基础信号模型不一致。特别是,结果信号子空间会填满整个M维空间,其中M是数组大小,并且不能保证结果协方差矩阵是非负定的。结果表明,即使数组大小无限大,使用此方法也无法实现完全解相关。

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