How to obtain the true correlation from a 3-level digital correlator

Astronomy and Astrophysics – Astronomy

Scientific paper

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Approximation, Correlators, Digital Systems, Error Analysis, Power Spectra, Spectral Correlation, Autocorrelation, Cross Correlation, Digital Simulation, Instrument Errors, Radio Astronomy

Scientific paper

A set of explicit approximation formulas to relate correlation as measured by a 3-level digital autocorrelator to the true correlation has been developed. These formulas are accurate to much less than 0.5%, and are also applicable to the more general case of a cross correlator. With the help of numerical simulations, the effects of the drifts of the transition levels on the power spectrum and the inaccuracy of the formulas have been studied. In the cases studied, which are representative of practical applications, the deviations from the scaling are less than 0.5% of the peak signal. We conclude that the inaccuracies inherent in the reduction methods and drifts in transition levels do not give rise to any significant errors in observed power spectra.

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