Self-similar processes in telecommunications, Oleg I. Sheluhin, Sergey M. Smolskiy, Andrey V. Osin

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The instance Self-similar processes in telecommunications, Oleg I. Sheluhin, Sergey M. Smolskiy, Andrey V. Osin represents a material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.

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Self-similar processes in telecommunications, Oleg I. Sheluhin, Sergey M. Smolskiy, Andrey V. Osin

Statement of responsibility

Oleg I. Sheluhin, Sergey M. Smolskiy, Andrey V. Osin

Instantiates

• Self-similar processes in telecommunications

Publication

• Chichester, England | Hoboken, NJ, Wiley, ©2007

Bibliography note

Includes bibliographical references and index

Carrier category

volume

Carrier category code

• nc

Carrier MARC source

rdacarrier

Content category

text

Content type code

• txt

Content type MARC source

rdacontent

Contents

Foreword. -- About the authors. -- Acknowledgements. -- 1 Principal Concepts of Fractal Theory and Self Similar Processes. -- 1.1 Fractals and Multifractals. -- 1.1.1 Fractal Dimension of a Set. -- 1.1.2 Multifractals. -- 1.1.3 Fractal Dimension D0 and Informational Dimension D1. -- 1.1.4 Legendre Transform. -- 1.2 Self Similar Processes. -- 1.2.1 Definitions and Properties of Self Similar Processes. -- 1.2.2 Multifractal Processes. -- 1.2.3 Long Range and Short Range Dependence. -- 1.2.4 Slowly Decaying Variance. -- 1.3 'Heavy Tails'. -- 1.3.1 Distribution with 'Heavy Tails' (DHT). -- 1.3.2 'Heavy Tails' Estimation. -- 1.4 Hurst Exponent Estimation. -- 1.4.1 Time Domain Methods of Hurst Exponent Estimation. -- 1.4.2 Frequency Domain Methods of Hurst Exponent. -- Estimation. -- 1.5 Hurst Exponent Estimation Problems. -- 1.5.1 Estimation Problems. -- 1.5.2 Nonstationarity Problems. -- 1.5.3 Computational Problems. -- 1.6 Self Similarity Origins in Telecommunication Traffic. -- 1.6.1 User's Behaviour. -- 1.6.2 Data Generation Data Structure and Its Search. -- 1.6.3 Traffic Aggregation. -- 1.6.4 Means of Network Control. -- 1.6.5 Control Mechanisms based on Feedback. -- 1.6.6 Network Development. -- References. -- 2 Simulation Methods for Fractal Processes. -- 2.1 Fractional Brownian Motion. -- 2.1.1 RMD Algorithm for FBM Generation. -- 2.1.2 SRA Algorithm for FBM Generation. -- 2.2 Fractional Gaussian Noise. -- 2.2.1 FFT Algorithm for FGN Synthesis. -- 2.2.2 Advantages and Shortcomings of FBM/FGN Models. -- in Network Applications. -- 2.3 Regression Models of Traffic. -- 2.3.1 Linear Autoregressive (AR) Processes. -- 2.3.2 Processes of Moving Average (MA). -- 2.3.3 Autoregressive Models of Moving Average, ARMAethp; qT. -- 2.3.4 Fractional Autoregressive Integrated Moving Average. -- (FARIMA) Process. -- 2.3.5 Parametric Estimation Methods. -- 2.3.6 FARIMAethp, d, qT Process Synthesis. -- 2.4 Fractal Point Process. -- 2.4.1 Statistical Characteristics of the Point Process. -- 2.4.2 Fractal Structure of FPP. -- 2.4.3 Methods of FPP Formation. -- 2.5 Fractional Levy Motion and its Application to Network. -- Traffic Modelling. -- 2.5.1 Fractional Levy Motion and Its Properties. -- 2.5.2 Algorithm of Fractional Levy Motion Modelling. -- 2.5.3 Fractal Traffic Formation Based on FLM. -- 2.6 Models of Multifractal Network Traffic. -- 2.6.1 Multiplicative Cascades. -- 2.6.2 Modified Estimation Method of Multifractal Functions. -- 2.6.3 Generation of Traffic the Multifractal Model. -- 2.7 LRD Traffic Modelling with the Help of Wavelets. -- 2.8 M/G/1Model. -- 2.8.1 M/G/1Model and Pareto Distribution. -- 2.8.2 M/G/1Model and Log Normal Distribution. -- References. -- 3 Self Similarity of Real Time Traffic. -- 3.1 Self Similarity of Real Time Traffic Preliminaries. -- 3.2 Statistical Characteristics of Telecommunication Real Time Traffic. -- 3.2.1 Measurement Organization. -- 3.2.2 Pattern of TN Traffic. -- 3.3 Voice Traffic Characteristics. -- 3.3.1 Voice Traffi

Control code

74967040

Dimensions

25 cm

Extent

xvii, 314 pages

Isbn

9780470014868

Isbn Type

(hbk.)

Media category

unmediated

Media MARC source

rdamedia

Media type code

• n

Other physical details

illustrations

Record ID

.b62641104

System control number

(OCoLC)74967040