Determination of Data Dimensionality in Hyperspectral Imagery—PNAPCA
Multidimensional Systems and Signal Processing
Robust detection of sources based on clustering in spatially correlated noise fields
SPPRA'06 Proceedings of the 24th IASTED international conference on Signal processing, pattern recognition, and applications
Determining the number of discrete alphabet sources from sensor data
EURASIP Journal on Applied Signal Processing
Model order selection for short data: an exponential fitting test (EFT)
EURASIP Journal on Applied Signal Processing
EURASIP Journal on Applied Signal Processing
MMSE-based MDL method for robust estimation of number of sources without eigendecomposition
IEEE Transactions on Signal Processing
High resolution joint time delay and frequency estimation
SARNOFF'09 Proceedings of the 32nd international conference on Sarnoff symposium
Source localization using a sparse representation framework to achieve superresolution
Multidimensional Systems and Signal Processing
New beam-steering algorithms using DELSA for frequency hopping systems
MILCOM'03 Proceedings of the 2003 IEEE conference on Military communications - Volume II
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We introduce effective uses of Gerschgorin radii of the unitary transformed covariance matrix for source number estimation. There are two approaches, likelihood and heuristic, used for developing the detection criteria. The likelihood approach combines the Gerschgorin radii to the well-known source number detectors and improves their detection performances for Gaussian and white noise processes. It is verified that the Gerschgorin likelihood estimators (GLE) are consistent. The Gerschgorin AIC yields a consistent estimate and the Gerschgorin MDL criterion does not tend to underestimate for small or moderate data samples. The heuristic approach applying the Gerschgorin disk estimator (GDE) developed from the projection concept, overcomes the problem in cases of small data samples, an unknown noise model, and data dependency. Furthermore, the detection performances of both approaches through the suggested rotations and averaging can be further improved. Finally, the proposed and existing criteria are evaluated in various conditions by using simulated and measured experimental data