Hostname: page-component-848d4c4894-ttngx Total loading time: 0 Render date: 2024-06-08T06:14:07.986Z Has data issue: false hasContentIssue false
  • English
  • Français

The correction of observational data for instrumental band width

Published online by Cambridge University Press:  24 October 2008

F. D. Kahn
F. D. Kahn
Affiliation:
Department of AstronomyUniversity of Manchester
Get access Rights & Permissions [Opens in a new window]

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
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 51 , Issue 3 , July 1955 , pp. 519 - 525
Copyright
Copyright © Cambridge Philosophical Society 1955

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Eddington, A. S.Mon. Not. R. astr. Soc. 73 (1913), 359.CrossRefGoogle Scholar
(2)Fellgett, P. B. and Schmeidler, F. B.Mon. Not. R. astr. Soc. 112 (1952), 445.CrossRefGoogle Scholar
(3)Van De Hulst, H. C.Bull. astr. Insts Netherlds, 9 (1941), no. 342; 10 (1946), no. 367.Google Scholar
(4)Jordan, C.Calculus of finite differences, 2nd ed. (New York, 1947), chap. 11.Google Scholar
(5)Malmquist, K. G.Medd. Lunds astr. Obs. I, No. 100.Google Scholar
(6)Titchmarsh, E. C.Introduction to the theory of Fourier integrals (Oxford, 1937).Google Scholar
(7)Trumpler, R. J. and Weaver, F. J.Statistical astronomy (Los Angeles, 1953), chaps. 1–5.CrossRefGoogle Scholar