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Journal ArticleDOI

A Modified Monte-Carlo Simulation Technique for the Evaluation of Error Rate in Digital Communication Systems

K. S. Shanmugam, +1 more
- 01 Nov 1980 - 
- Vol. 28, Iss: 11, pp 1916-1924
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TLDR
An importance-sampling technique is used to modify the probability density function of the noise process in a way to make simulation possible, showing that the number of samples needed for simulation is reduced considerably.
Abstract
Digital communication systems are frequently operated over nonlinear channels with memory. The analysis of the performance of these systems is difficult and no complete analytical treatment of the problem has been obtained before. Several recent efforts have been directed toward the computation of error probabilities via Monte-Carlo simulation using a complete system model. These simulations require excessively large sample sizes and are not practical for estimating very low values of error probabilities. This paper presents a modified Monte-Carlo simulation technique for estimating error probabilities in digital communication systems operating over nonlinear channels. An importance-sampling technique is used to modify the probability density function of the noise process in a way to make simulation possible. Theoretical results as well as realistic examples are presented, showing that the number of samples needed for simulation is reduced considerably.

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Citations
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Traffic modeling for telecommunications networks

TL;DR: An overview of discrete event simulation is given and two important modelling issues that are germane to extant and emerging networks: traffic modelling and rare event simulation are singled out.
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Techniques for Estimating the Bit Error Rate in the Simulation of Digital Communication Systems

TL;DR: A tutorial exposition of a number of distinct techniques in the simulation context that can be used to construct thisBER estimate, with particular reference to five specific methods which can be implemented in a simulation.
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Quick simulation: a review of importance sampling techniques in communications systems

TL;DR: A comprehensive history and survey of IS methods is presented, and a guide to the strengths and weaknesses of the techniques is offered, to indicate which techniques are suitable for various types of communications systems.
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Review and application of Artificial Neural Networks models in reliability analysis of steel structures

TL;DR: In this article, the authors present a survey on the development and use of Artificial Neural Network (ANN) models in structural reliability analysis, identifying the different types of ANNs, the methods of structural reliability assessment that are typically used, the techniques proposed for ANN training set improvement and also some applications of ANN approximations to structural design and optimization problems.
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Characterizing filtered light waves corrupted by phase noise

TL;DR: The authors show, for example, how to generate probability density functions of the magnitude of a filtered laser tone and how to analytically represent the characteristic function of the PDF in closed form in the small-phase-noise realm.
References
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Journal ArticleDOI

Error Probability in the Presence of Intersymbol Interference and Additive Noise for Multilevel Digital Signals

TL;DR: In this paper, the average probability of error in the presence of intersymbol interference and additive noise for multilevel pulse-amplitude-modulation (PAM) and partial-response-coded (PRC) signaling schemes is presented.
Journal ArticleDOI

Statistical evaluation of the error rate of the fiberguide repeater using importance sampling

TL;DR: In this paper, statistical techniques are described which are useful for simulating tails of distributions and the importance-sampling procedure is used to modify the probability densities of the input values in a way that makes simulation possible.
Journal ArticleDOI

Detection of a PSK signal transmitted through a hard-limited channel

TL;DR: The optimum repeater non-linearity is investigated and is shown to be a limiter at such signal-to-noise ratios and the error probability is found to be smaller than that of a linear system for all practical values of limiter and receiver input signal- to- noise ratios.
Journal ArticleDOI

Performance of coherent phase-shift-keyed systems with intersymbol interference

TL;DR: An upper bound to the probability of error of m -ary CPSK systems is given when an ideal CPSK signal is passed through a linear time-invariant noisy filter.
Journal ArticleDOI

Estimation of Small Probabilities by Linearization of the Tail of a Probability Distribution Function

TL;DR: In this article, the authors proposed to estimate the probability that a random variable exceeds a high threshold by counting estimates of the probabilities of exceeding m lower thresholds, where σ and ν may not be known.
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