Estimation of a new stochastic transform for solving the complex exponentials approximation problem: Computational aspects and applications

Authors:
Piero Barone
Affiliations:
Istituto per le Applicazioni del Calcolo “M. Picone”, C.N.R., Via dei Taurini 19, 00185 Rome, Italy
Venue:
Digital Signal Processing
Year:
2010

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Abstract

Many real life problems can be reduced to the solution of a complex exponentials approximation problem which is usually ill-posed. Recently a new transform for solving this problem, formulated as a specific moments problem in the plane, has been proposed in a theoretical framework. In this work some computational issues are addressed to make this new tool useful in practice. An algorithm is developed and used to solve a Nuclear Magnetic Resonance spectrometry problem, two time series interpolation and extrapolation problems and a shape from moments problem.