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Random Pulse Streams and Their Applications [Kõva köide]

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Random Pulse Streams and Their Applications
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Püsilink: https://www.kriso.ee/db/9780444986610.html
Märksõnad:
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.
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.