self-similar processes in telecommunications

[...]... fractal features, such as the UK coastline or Koch curves Chaotic consideration of the most plentiful processes in our lives has probably become one of the most attractive and ‘fashionable’ scientific tendencies in the past decades These are the processes in biology, in medicine, in mathematics, in economics, in forecasting and in telecommunications It is most likely that in future it will be impossible to... Moscow Institute of Transport Engineers (MITE) with a Master of Science Degree in Radio Engineering After that he entered the Lomonosov State University (Moscow) and graduated in 1979 with a Second Diploma of Mathematics He received a PhD (Techn.) at MITE in 1979 in Radio Engineering and Dr Sci (Techn.) at Kharkov Aviation Institute in 1990 The title of his PhD thesis was ‘Investigation of interfering... Degree in 2001 and an Engineer Degree in 2002 in Radio Engineering at the Moscow State Technical University of Service He entered a three-year PhD course and successfully presented his PhD thesis (‘The in uence of voice traffic self-similarity on quality of service in telecommunication networks’) in 2005 in the speciality Telecommunications systems, networks and devices’ at Moscow Power Engineering Institute... limited by some space in which this particle is located, e.g the tank with the liquid into which the paint particles are injected during the classical experiment of Brownian motion identification Self-Similar Processes in Telecommunications O I Sheluhin, S M Smolskiy and A V Osin # 2007 John Wiley & Sons, Ltd ISBNs: 0 470 85275 5 (cased) 0 470 85276 3 (Pbk) Self-Similar Processes in Telecommunications. .. g, obtained by averaging the initial sequence fXi ; i ¼ 1; 2; g over the nonoverlapping Self-Similar Processes in Telecommunications 12 consecutive intervals of size m, is introduced for analysis, for self-similar processes slower sample variance decay according to the law s2 ðX ðmÞ Þ $ mð2HÀ2Þ ; as m ! 1 ð1:39Þ will be typical, while for the traditional (not self-similar) stationary random processes. .. Multifractal Processes In contrast to self-similar processes, multiscaling or multifractal processes ensure a more flexible law of scaling behaviour The class of multifractal processes embraces all the processes with the scaling property including self-similar monoscaled and multiscaled processes Definition 1.7 [3] The stochastic process XðtÞ is called multifractional if it has stationary increments and... complicated systems without using the chaotic approach The aim of this book is to try to investigate the self-similar processes in the telecommunication network application, to present some more or less generalized understanding of many publications of the past 10 to 20 years connected with it, to acquaint readers having an active interest in the main approaches in this interesting and complicated direction,... technologies The interest of potential students in this book can be related to the specific lecture courses (standard or short) or parts of other courses devoted to self-similar processes Acronyms used in the book are explained at the end in appendix B The authors would appreciate any comments concerning this book About the Authors OLEG I SHELUHIN Oleg I Sheluhin was born in 1952 in Moscow, Russia In 1974 he... scientific interests are radio and telecommunication systems and devices xvi About the Authors SERGEY M SMOLSKIY Sergey M Smolskiy was born in 1946 in Moscow In 1970 he graduated from the Radio Engineering Faculty of the Moscow Power Engineering Institute (MPEI) In the same year he began work at the Department of Radio Transmitting Devices of MPEI After concluding his postgraduate study and his PhD thesis in. .. a certain direction for some reason enrich each other, causing the most unexpected ‘singular’ processes to occur, which stepwise could lead to definite revolutions in standard scientific approaches There is every expectation that this will happen in the promising field of self-similar processes The term ‘fractal’ was first introduced by Benua Mandelbrot As we have already mentioned, self-similar processes . SHELUHIN Oleg I. Sheluhin was born in 1952 in Moscow, Russia. In 1974 he graduated from the Moscow Institute of Transport Engineers (MITE) with a Master of Science Degree in Radio Engineering connecte d with it, to acquaint readers having an active interest in the main approaches in this interesting and complicated direction, to give a review of previously obtained and these new results. Russia Andrey V. Osin Moscow State Technical University of Service (MSTUS), Russia John Wiley & Sons, Ltd SELF-SIMILAR PROCESSES IN TELECOMMUNICATIONS SELF-SIMILAR PROCESSES IN TELECOMMUNICATIONS Oleg