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The correction of observational data for instrumental band width

Published online by Cambridge University Press:  24 October 2008

F. D. Kahn
Affiliation:
Department of AstronomyUniversity of Manchester

Abstract

The readings Φ(x) of an instrument with the apparatus function g(x) are related to the true values f(x)of the observed function by the equation

A three-point interpolation operator can be chosen to simulate the spreading action of a class of functions g(x). Under certain conditions the interpolation operator has an exact inverse which, when applied to Φ(x), gives a function which is a better approximation to f(x). The accuracy obtained is discussed, and the effect of the method on the standard errors in the measurement is found.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1955

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References

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