Searches for pulsed emission - Improved determination of period and amplitude from epoch folding for sinusoidal signals

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Monte Carlo Method, Parameter Identification, Pulsed Radiation, Signal Detection, Sine Waves, Statistical Analysis, Amplitudes, Periodic Variations, Searching, Signal To Noise Ratios, Time Measurement

Scientific paper

The determination of period and amplitude using the method of epoch folding is studied for the particular case that the signal is sinusoidal in nature. The theoretical statistics vs. folding period relation is derived and a method of accurately determining the signal period and amplitude by fitting this relation to the observed relation is presented. Monte Carlo simulations are utilized to define the accuracy of period and amplitude determination by this method as a function of the signal to noise ratio. Significant improvement in accuracy is achieved compared with standard estimates.

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