Chen, Yunfei and Beaulieu, Norman C. (2009) A simple polynomial approximation to the Gaussian Q-function and its application. IEEE Communications Letters, Vol.13 (No.2). pp. 124-126. doi:10.1109/LCOMM.2009.081754 ISSN 1089-7798.

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Abstract

A simple polynomial approximation to the Gaussian Q-function is proposed, based on the observation that a Gaussian random variable can be well approximated by a sum of uniform random variables. The approximation can be used to obtain accurate explicit approximations to problems that otherwise do not have explicit solutions or approximate explicit solutions. As an example, an explicit expression for the average symbol error rate of M-ary pulse amplitude modulation in lognormal channels is derived using the new approximation, and the approximate symbol error rate is shown to be very close to the exact value.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics T Technology > TK Electrical engineering. Electronics Nuclear engineering
Divisions:	Faculty of Science, Engineering and Medicine > Engineering > Engineering
Library of Congress Subject Headings (LCSH):	Polynomials, Approximation theory, Random noise theory
Journal or Publication Title:	IEEE Communications Letters
Publisher:	IEEE
ISSN:	1089-7798
Official Date:	February 2009
Dates:	Date Event February 2009 Published
Volume:	Vol.13
Number:	No.2
Number of Pages:	3
Page Range:	pp. 124-126
DOI:	10.1109/LCOMM.2009.081754
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access

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