Differentiation of approximately specified functions
American Mathematical Monthly
SIAM Journal on Applied Mathematics
Reconstruction of a piecewise constant function from noisy Fourier coefficients by Padé method
SIAM Journal on Applied Mathematics
Journal of Computational and Applied Mathematics
A new transform for solving the noisy complex exponentials approximation problem
Journal of Approximation Theory
On the distribution of poles of Padé approximants to the Z-transform of complex Gaussian white noise
Journal of Approximation Theory
A new estimation method in modal analysis
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
On the distribution of positive-definite Gaussian quadratic forms
IEEE Transactions on Information Theory
The multivariate complex normal distribution-a generalization
IEEE Transactions on Information Theory
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
A black box method for solving the complex exponentials approximation problem
Digital Signal Processing
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Pencils of matrices whose elements have a joint noncentral Gaussian distribution with nonidentical covariance are considered. An approximation to the distribution of the squared modulus of their determinant is computed which allows to get a closed form approximation of the condensed density of the generalized eigenvalues of the pencils. Implications of this result for solving several moments problems are discussed and some numerical examples are provided.