Abstract

The dependence of resolution on both noise and instrumental factors is stressed. The statistical decision-theory approach of Harris is used in the spectroscopic problem treated by Kozlov, and the probability of correct decision between two possible spectra is expressed as a function of the ratio of the quadratic content of the difference between the spectra to the noise. The results are applied to Fourier spectroscopy where, in addition to instrumental factors considered by Kozlov, finite line widths are taken into account.

© 1968 Optical Society of America

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