Mathematics – Numerical Analysis
Scientific paper
2008-01-28
Digital Signal processing 20 (2010) 724-735
Mathematics
Numerical Analysis
28 pages, 20 figures
Scientific paper
10.1016/j.dsp.2009.10.003
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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