Fourth-order cumulant based sources number estimation from mixtures of unknown number of sources

We consider the source number estimation problem in the presence of unknown spatially nonuniform noise and underdetermined mixtures. We develop a new attractive source number estimator by replacing the covariance with the Fourth-Order (FO) cumulant of the observations. Furthermore, a Modified Minimu...

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Bibliographic Details
Published in2014 Sixth International Conference on Wireless Communications and Signal Processing (WCSP) pp. 1 - 6
Main Authors Fanglin Gu, Wei Li, Wenwu Wang
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.10.2014
Subjects
Arrays
Covariance matrices
Eigenvalues and eigenfunctions
Estimation
Noise
Sensors
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Summary:We consider the source number estimation problem in the presence of unknown spatially nonuniform noise and underdetermined mixtures. We develop a new attractive source number estimator by replacing the covariance with the Fourth-Order (FO) cumulant of the observations. Furthermore, a Modified Minimum Description Length (MMDL) principle is proposed to reduce the divergence of the singular values corresponding to noise thereby improving the performance of the estimator. Simulation experiments validate the superiority of the proposed FO cumulant MMDL method to the conventional Minimum Description Length (MDL) method.
DOI:10.1109/WCSP.2014.6992083