Title :
Eigenstructure variability of the multiple-source multiple-sensor covariance matrix with contaminated Gaussian data
Author :
Moghaddamjoo, Alireza
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Wisconsin Univ., Milwaukee, WI, USA
fDate :
2/1/1988 12:00:00 AM
Abstract :
Several methods of current interest for counting and locating signal sources using data from a passive array depend on the accuracy of estimating the eigenstructure of the covariance matrix of the array´s data vectors. When errors in the measured data vectors are Gaussian conventional covariance estimation is optimal, but robust procedure are required for data with nonGaussian additive contamination. Two different robust covariance estimators are compared by simulation with the conventional one for different degrees of contamination. Even in relatively good signal-to-noise ratios, however, closeness of signal sources in the temporal and spatial frequency domains can cause inaccurate signal-related eigenvalue and eigenvector estimates. The degree of adversity for these problems is also shown by simulation
Keywords :
eigenvalues and eigenfunctions; matrix algebra; random noise; signal detection; signal processing; contaminated Gaussian data; covariance estimation; covariance matrix; data vectors; eigenstructure; eigenvalue; eigenvector; nonGaussian additive contamination; passive array; signal sources location; signal-to-noise ratios; simulation; Covariance matrix; Eigenvalues and eigenfunctions; Frequency domain analysis; Frequency estimation; Noise robustness; Passive radar; Pollution measurement; Sensor arrays; Signal to noise ratio; Statistics;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on