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Some alternative derivations of Craig's formula

Published online by Cambridge University Press:  15 June 2017

Seán M. Stewart
Seán M. Stewart*
Affiliation:
9 Tanang Street, Bomaderry NSW 2541, Australia e-mail: sean.stewart@physics.org

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In the performance of digital communication systems over fading channels, the error analysis is typically modelled using a Gaussian probability distribution. One function central to the analysis is what engineers routinely refer to as the (Gaussian) Q-function and is defined by

1

This is the canonical representation used for the function. In this paper a number of derivations of an important alternative representation for the Q-function known as Craig's formula will be given.

Information

Type
Articles
Information
The Mathematical Gazette , Volume 101 , Issue 551 , July 2017, pp. 268 - 279
Copyright
Copyright © Mathematical Association 2017 

References

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