Accuracy of the maximum entropy method

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Autocorrelation, Entropy, Information Theory, Spectrum Analysis, Stellar Spectra, Astrophysics, Geophysics, Sine Waves

Scientific paper

Although the maximum entropy method is capable of giving the period of a pure sine wave with very few data points, it is very sensitive to noise. The half power width of a spectral peak obtained by this method is proportional to the square of the ratio of the standard deviation of the noise to the semiamplitude of the light curve. More serious are the consequences of a systematic shift of the spectral peak, by an amount proportional to the same factor. A simple autocorrelation method that is free of systematic errors is also discussed.

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