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Probability And Random Processes

Author: Scott L. Miller
Publisher: Academic Press
ISBN: 0123869811
Size: 16.71 MB
Format: PDF
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Miller and Childers have focused on creating a clear presentation of foundational concepts with specific applications to signal processing and communications, clearly the two areas of most interest to students and instructors in this course. It is aimed at graduate students as well as practicing engineers, and includes unique chapters on narrowband random processes and simulation techniques. The appendices provide a refresher in such areas as linear algebra, set theory, random variables, and more. Probability and Random Processes also includes applications in digital communications, information theory, coding theory, image processing, speech analysis, synthesis and recognition, and other fields. * Exceptional exposition and numerous worked out problems make the book extremely readable and accessible * The authors connect the applications discussed in class to the textbook * The new edition contains more real world signal processing and communications applications * Includes an entire chapter devoted to simulation techniques

Probability Random Processes And Statistical Analysis

Author: Hisashi Kobayashi
Publisher: Cambridge University Press
ISBN: 1139502611
Size: 13.57 MB
Format: PDF, ePub, Mobi
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Together with the fundamentals of probability, random processes and statistical analysis, this insightful book also presents a broad range of advanced topics and applications. There is extensive coverage of Bayesian vs. frequentist statistics, time series and spectral representation, inequalities, bound and approximation, maximum-likelihood estimation and the expectation-maximization (EM) algorithm, geometric Brownian motion and Itô process. Applications such as hidden Markov models (HMM), the Viterbi, BCJR, and Baum–Welch algorithms, algorithms for machine learning, Wiener and Kalman filters, and queueing and loss networks are treated in detail. The book will be useful to students and researchers in such areas as communications, signal processing, networks, machine learning, bioinformatics, econometrics and mathematical finance. With a solutions manual, lecture slides, supplementary materials and MATLAB programs all available online, it is ideal for classroom teaching as well as a valuable reference for professionals.

Probability Random Variables And Random Processes

Author: John J. Shynk
Publisher: John Wiley & Sons
ISBN: 1118393953
Size: 77.64 MB
Format: PDF, ePub
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Probability, Random Variables, and Random Processes is a comprehensive textbook on probability theory for engineers that provides a more rigorous mathematical framework than is usually encountered in undergraduate courses. It is intended for first-year graduate students who have some familiarity with probability and random variables, though not necessarily of random processes and systems that operate on random signals. It is also appropriate for advanced undergraduate students who have a strong mathematical background. The book has the following features: Several appendices include related material on integration, important inequalities and identities, frequency-domain transforms, and linear algebra. These topics have been included so that the book is relatively self-contained. One appendix contains an extensive summary of 33 random variables and their properties such as moments, characteristic functions, and entropy. Unlike most books on probability, numerous figures have been included to clarify and expand upon important points. Over 600 illustrations and MATLAB plots have been designed to reinforce the material and illustrate the various characterizations and properties of random quantities. Sufficient statistics are covered in detail, as is their connection to parameter estimation techniques. These include classical Bayesian estimation and several optimality criteria: mean-square error, mean-absolute error, maximum likelihood, method of moments, and least squares. The last four chapters provide an introduction to several topics usually studied in subsequent engineering courses: communication systems and information theory; optimal filtering (Wiener and Kalman); adaptive filtering (FIR and IIR); and antenna beamforming, channel equalization, and direction finding. This material is available electronically at the companion website. Probability, Random Variables, and Random Processes is the only textbook on probability for engineers that includes relevant background material, provides extensive summaries of key results, and extends various statistical techniques to a range of applications in signal processing.

Probability And Random Processes

Author: Venkatarama Krishnan
Publisher: John Wiley & Sons
ISBN: 0471998281
Size: 74.32 MB
Format: PDF, Mobi
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A resource for probability AND random processes, with hundreds ofworked examples and probability and Fourier transform tables This survival guide in probability and random processes eliminatesthe need to pore through several resources to find a certainformula or table. It offers a compendium of most distributionfunctions used by communication engineers, queuing theoryspecialists, signal processing engineers, biomedical engineers,physicists, and students. Key topics covered include: * Random variables and most of their frequently used discrete andcontinuous probability distribution functions * Moments, transformations, and convergences of randomvariables * Characteristic, generating, and moment-generating functions * Computer generation of random variates * Estimation theory and the associated orthogonalityprinciple * Linear vector spaces and matrix theory with vector and matrixdifferentiation concepts * Vector random variables * Random processes and stationarity concepts * Extensive classification of random processes * Random processes through linear systems and the associated Wienerand Kalman filters * Application of probability in single photon emission tomography(SPECT) More than 400 figures drawn to scale assist readers inunderstanding and applying theory. Many of these figures accompanythe more than 300 examples given to help readers visualize how tosolve the problem at hand. In many instances, worked examples aresolved with more than one approach to illustrate how differentprobability methodologies can work for the same problem. Several probability tables with accuracy up to nine decimal placesare provided in the appendices for quick reference. A specialfeature is the graphical presentation of the commonly occurringFourier transforms, where both time and frequency functions aredrawn to scale. This book is of particular value to undergraduate and graduatestudents in electrical, computer, and civil engineering, as well asstudents in physics and applied mathematics. Engineers, computerscientists, biostatisticians, and researchers in communicationswill also benefit from having a single resource to address mostissues in probability and random processes.

Statistische Signale

Author: Eberhard Hänsler
Publisher: Springer-Verlag
ISBN: 3662100487
Size: 19.43 MB
Format: PDF, Kindle
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Dieses Lehrbuch behandelt statistische Signalmodelle aus der Sicht der Systemtheorie. Es entstand aus Vorlesungen des Autors an der TH Darmstadt für Studenten der Nachrichten- und Regelungstechnik nach dem Vorexamen. Im Gegensatz zur klassischen Theorie werden in diesem Buch Signale durch Zufallsprozesse modelliert. Nach einem kurzen Abriß der wichtigsten Gesetze der Wahrscheinlichkeitsrechnung werden Zufallsvariable und Zufallsprozesse behandelt. Hieran schließt sich die Betrachtung der Zusammenhänge zwischen den Eigenschaften des Eingangs- und des Ausgangsprozesses eines Systems an. Breiten Raum nehmen dabei Korrelationsfunktionen und Leistungsdichtespektren ein. Im zweiten Teil des Buches werden Anwendungen statistischer Sig- nalmodelle dargestellt. Im Vordergrund steht dabei die Optimierung linearer Systeme. Im einzelnen werden diskutiert: Signalangepaßtes Filter, Prädiktor, Optimalfilter nach Wiener und Kolmogoroff, Kalman-Filter und adaptive Filter. Die einzelnen Abschnitte des Buches beginnen in der Regel mit einer kurzen Herleitung oder einer Definition. Anschließend werden die neu eingeführten Größen diskutiert und Verbindungen zu bereits bekannten Zusammenhängen hergestellt. Jeder Abschnitt schließt mit durchgerechneten Beispielen. Die Darstellung des Stoffes bewegt sich auf dem Mittelweg zwischen "rein anschaulich" und "streng formal". Das Buch gibt daher einem Praktiker einen ausreichenden Hintergrund für den experimentellen Umgang mit Signalen. Gleichzeitig bereitet es Theoretiker auf das Studium weiterführender Darstellungen vor.