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Sensors 2014, 14(5), 7625-7646; doi:10.3390/s140507625

A Comparative Study of Information-Based Source Number Estimation Methods and Experimental Validations on Mechanical Systems

State Key Laboratory for Manufacturing Systems Engineering, Xi'an Jiaotong University, Xi'an 710049, China
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Received: 21 February 2014 / Revised: 17 April 2014 / Accepted: 18 April 2014 / Published: 25 April 2014
(This article belongs to the Section Physical Sensors)
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Abstract

This paper investigates one eigenvalue decomposition-based source number estimation method, and three information-based source number estimation methods, namely the Akaike Information Criterion (AIC), Minimum Description Length (MDL) and Bayesian Information Criterion (BIC), and improves BIC as Improved BIC (IBIC) to make it more efficient and easier for calculation. The performances of the abovementioned source number estimation methods are studied comparatively with numerical case studies, which contain a linear superposition case and a both linear superposition and nonlinear modulation mixing case. A test bed with three sound sources is constructed to test the performances of these methods on mechanical systems, and source separation is carried out to validate the effectiveness of the experimental studies. This work can benefit model order selection, complexity analysis of a system, and applications of source separation to mechanical systems for condition monitoring and fault diagnosis purposes.
Keywords: source number estimation; Akaike information criterion; minimum description length; improved Bayesian information criterion; eigenvalue decomposition source number estimation; Akaike information criterion; minimum description length; improved Bayesian information criterion; eigenvalue decomposition
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Cheng, W.; Zhang, Z.; Cao, H.; He, Z.; Zhu, G. A Comparative Study of Information-Based Source Number Estimation Methods and Experimental Validations on Mechanical Systems. Sensors 2014, 14, 7625-7646.

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