The effect of instrument performance upon the calculated spectrum from a spaceborne IR interferometer

Computer Science – Performance

Scientific paper

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Infrared Interferometers, Instrument Errors, Signal Processing, Signal To Noise Ratios, Spaceborne Astronomy, Spectrum Analysis, Fast Fourier Transformations, Performance Prediction, Power Spectra, Stellar Spectrophotometry, Thermal Noise

Scientific paper

The data processing equations used to transform an interferometer output signal into a spectrum have been applied to the instrument noise to find the relationship between the signal to noise ratio (S/N) in the interferogram and that in the computed spectrum. Both photon and thermal noises have been taken into account. The results show that the voltage S/N in the spectrum is inversely proportional to the square root of the number of samples so that taking a larger number of samples requires a larger S/N in the interferogram to achieve the same S/N in the spectrum. Numerical examples are given relating the exposure time to design and performance parameters for stellar and atmospheric applications.

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