A New Method for the Detection of a Periodic Signal of Unknown Shape and Period
Abstract
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.
 Publication:

The Astrophysical Journal
 Pub Date:
 October 1992
 DOI:
 10.1086/171844
 Bibcode:
 1992ApJ...398..146G
 Keywords:

 Probability Theory;
 Signal Detection;
 Signal Measurement;
 Bayes Theorem;
 Entropy;
 Integral Equations;
 Light Curve;
 Periodic Variations;
 STATISTICS AND PROBABILITY;
 METHODS: ANALYTICAL;
 METHODS: NUMERICAL