A new method for the detection of a periodic signal of unknown shape and period

Details A new method for the detection of a periodic signal of unknown shape and period A new method for the detection of a periodic signal of unknown shape and period

Oct 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...398..146g&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004- 637X), vol. 398, no. 1, Oct. 10, 1992, p. 146- 168., Research supported by NSERC

Mathematics

Probability

120

Probability Theory, Signal Detection, Signal Measurement, Bayes Theorem, Entropy, Integral Equations, Light Curve, Periodic Variations

Scientific paper

A method was developed for the detection and measurement of a periodic signal with unknown characteristics in a data set where the existence of such signal was not known. The method detects a signal by using Bayesian probability theory to compare a constant model for the signal to members of a class of models with periodic structure. The method was applied to simulated data generated with both stepwise and sinusoidal light curves, demonstrating that such signals can be sensitively detected and the signal frequency and its shape can be accurately estimated.

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