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Matrix pencil based toeplitz covariance matrix reconstruction approach for correlated weak source detection

Authors: Jing Wang 0124; Fei Ji; Fangjiong Chen;

Matrix pencil based toeplitz covariance matrix reconstruction approach for correlated weak source detection

Abstract

In this paper, a matrix pencil characteristic equation-based source number estimator is proposed. An enhanced matrix is defined through partition-and-stacking process by the original data on the uniform linear array, and its covariance matrix is computed, which is proved to be a toeplitz conjugate symmetry matrix. The covariance matrix elements are aligned to from a vector. A measurement matrix is formed by this vector considering the characteristic equation. Gerschgorin disk estimator (GDE) is employed with the measurement matrix to estimate source number. As partition-and-stacking processing is equivalent to spatially smoothing averaging, and at the same time reduces the influence of noise, our method is efficient with correlated signals, and performs well when there are only few snapshots. Simulation results prove the efficiency of our method under severe conditions.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
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