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

Piero Barone

doi:10.1016/j.dsp.2009.10.003

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arXiv · 0801.4172

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

Piero Barone

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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.

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Piero Barone. 2008-01-28. Computational aspects and applications of a new transform for solving the complex exponentials approximation problem. https://doi.org/10.1016/j.dsp.2009.10.003

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