Computational aspects and applications of a new transform for solving the complex exponentials approximation problem
Numerical Analysis
2012-05-03 v1 Applications
Computation
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.
Cite
@article{arxiv.0801.4172,
title = {Computational aspects and applications of a new transform for solving the complex exponentials approximation problem},
author = {Piero Barone},
journal= {arXiv preprint arXiv:0801.4172},
year = {2012}
}
Comments
28 pages, 20 figures