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Journal ArticleDOI

Simple Approximations of the Error Function Q(x) for Communications Applications

Per Ola Börjesson, +1 more
- 01 Mar 1979 - 
- Vol. 27, Iss: 3, pp 639-643
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TLDR
A class of functions are given, where the choice of two parameters result in good upper bounds, lower bounds and approximations on Q(x), suitable for programmable pocket calculators.
Abstract
Simple analytical upper bounds, approximations and lower bounds on the error function Q(x) are presented and analyzed. A class of functions are given, where the choice of two parameters result in good upper bounds, lower bounds and approximations on Q(x) . The results are given in formulas, parameter tables and graphs. The approximations are suitable for programmable pocket calculators.

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Citations
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Journal ArticleDOI

New exponential bounds and approximations for the computation of error probability in fading channels

TL;DR: New exponential bounds for the Gaussian Q function and its inverse are presented and a quite accurate and simple approximate expression given by the sum of two exponential functions is reported for the general problem of evaluating the average error probability in fading channels.
Book

Probability Statistics and Random Processes for Electrical Engineering

TL;DR: In this paper, the authors present an axiomatic approach to a theory of probability, based on the axiomatization of probability models, for the analysis and design of wireless networks.
Proceedings ArticleDOI

An analytical high-level battery model for use in energy management of portable electronic systems

TL;DR: A model is proposed that allows a designer to predict the battery time-to-failure for a given load and provides a cost metric for lifetime optimization algorithms and allows for a tradeoff between the accuracy and the amount of computation performed.
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Novel Index Modulation Techniques: A Survey

TL;DR: A survey on IM is presented to provide the readers with a better understanding of its principles, advantages, and potential applications and a range of challenges and open issues on IM are discussed.
Journal ArticleDOI

An Improved Approximation for the Gaussian Q-Function

TL;DR: A novel, simple and tight approximation for the Gaussian Q-function and its integer powers is presented, and an accuracy improvement is achieved over the whole range of positive arguments.
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