Fourier spectral analysis for unevenly spaced, average value, data

Authors:
F. Alejandro Nava
Affiliations:
Seismology Dep., CICESE, Km107 Carr.Tijuana-Ensenada, Ensenada, B.C., Mexico, P.O. Box 434843, San Diego, CA 92143-4843, USA
Venue:
Computers & Geosciences
Year:
2010

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Abstract

We propose a method for Fourier spectral analysis of unevenly spaced data which correspond to averages of a given quantity; the method is particularly adapted to data from counting, such as specimen counts from borehole samples. The method is extremely straightforward and takes into account the effects of data averaging. A Monte Carlo approach is used to evaluate possible effects of random errors in time determinations and in counting; probabilities for different possible spectral values are estimated. The method is implemented as a Matlab function.