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Estimation of hyperspectral covariance matrices
2011 IEEE International Geoscience and Remote Sensing Symposium, 2011Estimation of covariance matrices is a fundamental step in hyperspectral remote sensing where most detection algorithms make use of the covariance matrix in whitening procedures. We present a simple method to improve the estimation of the eigenvalues of a sample covariance matrix. With the improved eigenvalues we construct an improved covariance matrix.
Avishai Ben-David, Charles E. Davidson
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Robust estimation of structured covariance matrices
IEEE Transactions on Signal Processing, 1993Summary: In the context of the narrow-band array processing problem, we develop robust methods to accurately estimate the spatial correlation matrix using a priori information about the matrix structure. For Gaussian processes, structured estimates previously have been developed which find the maximum likelihood covariance matrix estimate subject to ...
Williams, Douglas B., Johnson, Don H.
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Estimation of Space-Varying Covariance Matrices
2018 25th IEEE International Conference on Image Processing (ICIP), 2018This paper considers the representation of human trajectories in video signals. These trajectories are modeled by switched dynamical models, based on motion fields that drive the pedestrian during consecutive time intervals. This paper addresses the estimation of uncertainty in trajectory generation by using space-varying covariance matrices estimated ...
Catarina Barata +2 more
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Estimation of Block-Toeplitz Covariance Matrices
1990 Conference Record Twenty-Fourth Asilomar Conference on Signals, Systems and Computers, 1990., 2005We consider the problem of estimating structured covarimws using maximum-likelihood methodology. The structured covariance matrices of interest here are block-Toeplitz matrices and Toeplitz-block-Toeplitz matrices. These arise naturally in wideband array processing, and in narrowband array processing with rectangular arrays.
D.R. Fuhrmann, T.A. Barton
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Robust estimation of covariance matrices
IEEE Transactions on Automatic Control, 1990Data manipulations which increase the robustness and accuracy of estimators of covariance parameters by using the innovations correlation approach are considered. The procedures are especially useful for improving estimates of process-noise covariance parameters for slowly varying systems when measurement noise is large.
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Stable estimators of inverse covariance matrices
Journal of Mathematical Sciences, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the estimation of structured covariance matrices
Automatica, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ZORZI, MATTIA, FERRANTE, AUGUSTO
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Computationally efficient maximum-likelihood estimation of structured covariance matrices
Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181), 1998Summary: By invoking the extended invariance principle (EXIP), we present a computationally efficient method that provides asymptotic (for large samples) maximum likelihood (AML) estimation for structured covariance matrices and will be referred to as the AML algorithm.
Li, Hongbin, Stoica, Petre, Li, Jian
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Positive definite estimators of large covariance matrices
Biometrika, 2012Using convex optimization, we construct a sparse estimator of the covariance matrix that is positive definite and performs well in high-dimensional settings. A lasso-type penalty is used to encourage sparsity and a logarithmic barrier function is used to enforce positive definiteness.
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Estimation of graph Laplacian and covariance matrices
2019Research in recent years has been dominated by bigger and more complex types of data. Multimedia signals (images, video, holograms) and non traditional signals arising in sensor and social networks have become pervasive while increasing in complexity and quantity.
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