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Sensors 2014, 14(10), 19477-19492; doi:10.3390/s141019477

Simple and Efficient Algorithm for Improving the MDL Estimator of the Number of Sources

National Institute of Telecommunications (Inatel), Av. João de Camargo, 510, Santa Rita do Sapucaí MG 37540-000, Brazil
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Received: 28 July 2014 / Revised: 11 September 2014 / Accepted: 8 October 2014 / Published: 17 October 2014
(This article belongs to the Section Physical Sensors)
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Abstract

We propose a simple algorithm for improving the MDL (minimum description length) estimator of the number of sources of signals impinging on multiple sensors. The algorithm is based on the norms of vectors whose elements are the normalized and nonlinearly scaled eigenvalues of the received signal covariance matrix and the corresponding normalized indexes. Such norms are used to discriminate the largest eigenvalues from the remaining ones, thus allowing for the estimation of the number of sources. The MDL estimate is used as the input data of the algorithm. Numerical results unveil that the so-called norm-based improved MDL (iMDL) algorithm can achieve performances that are better than those achieved by the MDL estimator alone. Comparisons are also made with the well-known AIC (Akaike information criterion) estimator and with a recently-proposed estimator based on the random matrix theory (RMT). It is shown that our algorithm can also outperform the AIC and the RMT-based estimator in some situations. View Full-Text
Keywords: AIC; estimation of the number of sources; iMDL; MDL; RMT AIC; estimation of the number of sources; iMDL; MDL; RMT
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Guimarães, D.A.; de Souza, R.A.A. Simple and Efficient Algorithm for Improving the MDL Estimator of the Number of Sources. Sensors 2014, 14, 19477-19492.

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