Journal of Computational and Applied Mathematics
On the distribution of poles of Padé approximants to the Z-transform of complex Gaussian white noise
Journal of Approximation Theory
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
Journal of Multivariate Analysis
A black box method for solving the complex exponentials approximation problem
Digital Signal Processing
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The modal analysis model, made up by a linear combination of complex exponential functions, is considered. Pade approximants to the Z-transform of a noisy sample are then considered, and the asymptotic locus of their poles is studied. It turns out that this locus is strongly related to the complex exponentials of the model. By exploiting these properties, powerful methods for estimating the model parameters can be devised, which have both denoising and super-resolution capabilities