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Determining the resolution of Laplace inversion spectrum
Authors:Song Yi-Qiao  Venkataramanan Lalitha  Burcaw Lauren
Affiliation:Schlumberger-Doll Research, Old Quarry Road, Ridgefield, CT 06877-4108, USA. ysong@slb.com
Abstract:
In experiments involving decaying signals, it is often desirable to analyze the data as a sum of exponential decays using the Laplace inversion method. However, Laplace inversion is an ill-conditioned problem, and it is difficult to ascertain the stability of the reconstruction method and resolution of the resulting spectrum. This paper provides an easily computed approximate bound of the resolution and offers guidelines on how to design experiments to improve the spectral resolution.
Keywords:
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