Random Pulse Streams and Their Applications
Published in August 1993
Book
Hardback
264 pages
978-0-444-98661-0 (ISBN)
Description
The basic problems of random pulse streams are described in detail in this book. The main emphasis is on the analysis of random rectangular pulse stream and investigations on various types of coincidences among the random streams. Examples of applications in pulse stream analysis are also given. Special attention is paid to the applications of random pulse streams in the field of communication engineering, particularly in a random access communication and digital information transmission. Recent developments in the fields of conincidence theory, applications of pulse streams and filtering are reviewed. The constructive aspects of the analysis and interpretation of the discussed problems are emphasized. This volume should be of interest to researchers, postgraduate students, technical schools and engineers involved with stochastic processes and their applications.
The basic problems of random pulse streams are described in detail in this book. The main emphasis is on the analysis of random rectangular pulse stream and investigations on various types of coincidences among the random streams. Examples of applications in pulse stream analysis are also given. Special attention is paid to the applications of random pulse streams in the field of communication engineering, particularly in a random access communication and digital information transmission. Recent developments in the fields of conincidence theory, applications of pulse streams and filtering are reviewed. The constructive aspects of the analysis and interpretation of the discussed problems are emphasized. This volume should be of interest to researchers, postgraduate students, technical schools and engineers involved with stochastic processes and their applications.
The basic problems of random pulse streams are described in detail in this book. The main emphasis is on the analysis of random rectangular pulse stream and investigations on various types of coincidences among the random streams. Examples of applications in pulse stream analysis are also given. Special attention is paid to the applications of random pulse streams in the field of communication engineering, particularly in a random access communication and digital information transmission. Recent developments in the fields of conincidence theory, applications of pulse streams and filtering are reviewed. The constructive aspects of the analysis and interpretation of the discussed problems are emphasized. This volume should be of interest to researchers, postgraduate students, technical schools and engineers involved with stochastic processes and their applications.
More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Publishing group
Elsevier Science & Technology
Target group
College/higher education
Professional and scholarly
Illustrations
references, index
Dimensions
Height: 230 mm
ISBN-13
978-0-444-98661-0 (9780444986610)
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Schweitzer Classification
Content
1. Introduction to Probability. Definitions of probability. Conditional probability - total probability, Bayes' theorem. Binomial law - Bernoulli trials. Probability distribution function-random variable. Probability density function. Average characteristics of random variable: expectation and moments. Two random variables - joint and conditional distributions. Function of one and two random variables. Characteristic and moment generating functions. Law of large numbers. 2. Introduction to Random Signals and Spectral Analysis of Random Signals. Random signals and their fundamental characteristic. Fundamental linear transformations of random signals. Generalised spectrum analysis of random signals the transformation of Karhunen-Loeve. Harmonic analysis of stationary random signals. 3. The Main Characteristics of Point Streams. Description of point streams. Poisson streams. Regular streams. Stationary palm streams. Erlang streams. Attenuated streams. Alternative streams. 4. The Random Rectangular Pulse Stream and its Fundamental Characteristics. Description of random rectangular pulse streams. Classification of streams. Characteristics of conditional (truncated) streams. Segmental partition of pulses. Point partition of pulses. 5. Spectral and Correlation Analysis of Random Pulse Streams. The autocorrelation function of rectangular pulse stream. Power spectrum of a random signal. Power spectrum density of the rectangular pulse stream. Digital filtering of random pulse streams based on discrete signal transforms. 6. Coincidences of Random Pulse Streams. Methods of coincidence analysis. Average characteristics of the coincidence of n pulse streams. The probability density function of coincidence length. The limiting properties of the probability density function. Coincidence probability. Coincidence of exactly K streams from n streams - the K, n coincidence stream. The coincidence of at least K streams from n streams min (K, n) coincidence stream. The probability density function of a (K, n) coincidence stream. Some problems in deriving the probability density functions of aggregate streams. Decomposition of random pulse streams. Simulation of random pulse streams. 7. Some Applications of the Analysis of Random Pulse Streams. Characteristics of information transmission and the interval codes. Throughput of packets in random-access communications. Delay of packets in a random-access channel. Reliability characteristics of systems.