Next Article in Journal
Novel Real-Time Temperature Diagnosis of Conventional Hot-Embossing Process Using an Ultrasonic Transducer
Previous Article in Journal
An Energy Efficient MAC Protocol for Multi-Hop Swallowable Body Sensor Networks
Article Menu

Export Article

Open AccessArticle
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
Authors to whom correspondence should be addressed.
Received: 28 July 2014 / Revised: 11 September 2014 / Accepted: 8 October 2014 / Published: 17 October 2014
(This article belongs to the Section Physical Sensors)
View Full-Text   |   Download PDF [1105 KB, uploaded 17 October 2014]   |  


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

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).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

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.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Sensors EISSN 1424-8220 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top