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Signal Processing and Receivers: Theory

  • Thomas L. Wilson
  • Susanne Hüttemeister
Chapter
Part of the Astronomy and Astrophysics Library book series (AAL)

Abstract

The Gaussian probability distribution function with mean m is
$$\displaystyle p(x) = \frac {1}{\sigma \sqrt {\displaystyle 2\pi }} \mathrm {e}^{-(x-m)^2 / 2\sigma ^2} \, . $$
(a) Show that \(\int ^{+\infty }_{-\infty } p(x){\mathrm {d}}x=1\).

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Thomas L. Wilson
    • 1
  • Susanne Hüttemeister
    • 2
  1. 1.Max-Planck-Institut für RadioastronomieBonnGermany
  2. 2.Zeiss-Planetarium BochumBochumGermany

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