Fourier analysis of real-world data

Michael L. Johnson; Martin Straume

doi:10.1117/12.274356

22 May 1997 Fourier analysis of real-world data

Michael L. Johnson, Martin Straume

Proceedings Volume 2985, Ultrasensitive Biochemical Diagnostics II; (1997) https://doi.org/10.1117/12.274356
Event: BiOS '97, Part of Photonics West, 1997, San Jose, CA, United States

Abstract

Biological time-series data pertaining to human circadian and ultradian hormonal rhythms are often short, sparse, irregularly spaced, and noisy. In addition, they often have missing data points and have variable experimental uncertainties. The objective of collecting and analyzing such data is to find the amplitude, phase, and period of the primary rhythmic component contained within the data. Often the question is simply: Does a rhythm exist. The theoretical aspects of some Fourier techniques are discussed, including methods for detrending non-stationary time-series and the evaluation of confidence intervals. Analysis of typical biological data are also presented.

Citation Download Citation

Michael L. Johnson and Martin Straume "Fourier analysis of real-world data", Proc. SPIE 2985, Ultrasensitive Biochemical Diagnostics II, (22 May 1997); https://doi.org/10.1117/12.274356

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