Activity index variance as an indicator of the number of signal sources
WSEAS Transactions on Signal Processing
A tool for the simulation of the activity index variance model
CSECS'08 Proceedings of the 7th conference on Circuits, systems, electronics, control and signal processing
Theoretical Analysis and Comparison of Several Criteria on Linear Model Dimension Reduction
ICA '09 Proceedings of the 8th International Conference on Independent Component Analysis and Signal Separation
Analytical model of the CKC-based activity index variance
MAMECTIS'08 Proceedings of the 10th WSEAS international conference on Mathematical methods, computational techniques and intelligent systems
Non-parametric detection of the number of signals: hypothesis testing and random matrix theory
IEEE Transactions on Signal Processing
MMSE-based MDL method for robust estimation of number of sources without eigendecomposition
IEEE Transactions on Signal Processing
A theoretical investigation of several model selection criteria for dimensionality reduction
Pattern Recognition Letters
| Hi-index | 35.69 |
Estimating the number of sources impinging on an array of sensors is a well-known and well-investigated problem. A common approach for solving this problem is to use an information theoretic criterion, such as Minimum Description Length (MDL) or the Akaike Information Criterion (AIC). The MDL estimator is known to be a consistent estimator, robust against deviations from the Gaussian assumption, and nonrobust against deviations from the point source and/or temporally or spatially white additive noise assumptions. Over the years, several alternative estimation algorithms have been proposed and tested. Usually, these algorithms are shown, using computer simulations, to have improved performance over the MDL estimator and to be robust against deviations from the assumed spatial model. Nevertheless, these robust algorithms have high computational complexity, requiring several multidimensional searches. In this paper, which is motivated by real-life problems, a systematic approach toward the problem of robust estimation of the number of sources using information theoretic criteria is taken. An MDL-type estimator that is robust against deviation from assumption of equal noise level across the array is studied. The consistency of this estimator, even when deviations from the equal noise level assumption occur, is proven. A novel low-complexity implementation method avoiding the need for multidimensional searches is presented as well, making this estimator a favorable choice for practical applications.