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## Probability and Random Processes for Electrical and Computer Engineers

With updates and enhancements to the incredibly successful first edition, Probability and Random Processes for Electrical and Computer Engineers, Second Edition retains the best aspects of the original but offers an even more potent introduction to probability and random variables and processes. Written in a clear, concise style that illustrates the subject’s relevance to a wide range of areas in engineering and physical and computer sciences, this text is organized into two parts. The first focuses on the probability model, random variables and transformations, and inequalities and limit theorems. The second deals with several types of random processes and queuing theory. New or Updated for the Second Edition: A short new chapter on random vectors that adds some advanced new material and supports topics associated with discrete random processes Reorganized chapters that further clarify topics such as random processes (including Markov and Poisson) and analysis in the time and frequency domain A large collection of new MATLAB®-based problems and computer projects/assignments Each Chapter Contains at Least Two Computer Assignments Maintaining the simplified, intuitive style that proved effective the first time, this edition integrates corrections and improvements based on feedback from students and teachers. Focused on strengthening the reader’s grasp of underlying mathematical concepts, the book combines an abundance of practical applications, examples, and other tools to simplify unnecessarily difficult solutions to varying engineering problems in communications, signal processing, networks, and associated fields.
## Probability and Random Processes for Electrical and Computer Engineers

The theory of probability is a powerful tool that helps electrical and computer engineers to explain, model, analyze, and design the technology they develop. The text begins at the advanced undergraduate level, assuming only a modest knowledge of probability, and progresses through more complex topics mastered at graduate level. The first five chapters cover the basics of probability and both discrete and continuous random variables. The later chapters have a more specialized coverage, including random vectors, Gaussian random vectors, random processes, Markov Chains, and convergence. Describing tools and results that are used extensively in the field, this is more than a textbook; it is also a reference for researchers working in communications, signal processing, and computer network traffic analysis. With over 300 worked examples, some 800 homework problems, and sections for exam preparation, this is an essential companion for advanced undergraduate and graduate students. Further resources for this title, including solutions (for Instructors only), are available online at www.cambridge.org/9780521864701.
## Probability, Statistics, and Random Processes for Electrical Engineering

This is the standard textbook for courses on probability and statistics, not substantially updated. While helping students to develop their problem-solving skills, the author motivates students with practical applications from various areas of ECE that demonstrate the relevance of probability theory to engineering practice. Included are chapter overviews, summaries, checklists of important terms, annotated references, and a wide selection of fully worked-out real-world examples. In this edition, the Computer Methods sections have been updated and substantially enhanced and new problems have been added.
## Probability for Electrical and Computer Engineers

Scientists and engineers must use methods of probability to predict the outcome of experiments, extrapolate results from a small case to a larger one, and design systems that will perform optimally when the exact characteristics of the inputs are unknown. While many engineering books dedicated to the advanced aspects of random processes and systems include background information on probability, an introductory text devoted specifically to probability and with engineering applications is long overdue. Probability for Electrical and Computer Engineers provides an introduction to probability and random variables. Written in a clear and concise style that makes the topic interesting and relevant for electrical and computer engineering students, the text also features applications and examples useful to anyone involved in other branches of engineering or physical sciences. Chapters focus on the probability model, random variables and transformations, inequalities and limit theorems, random processes, and basic combinatorics. These topics are reinforced with computer projects available on the CRC Press Web site. This unique book enhances the understanding of probability by introducing engineering applications and examples at the earliest opportunity, as well as throughout the text. Electrical and computer engineers seeking solutions to practical problems will find it a valuable resource in the design of communication systems, control systems, military or medical sensing or monitoring systems, and computer networks.
## Probability and Stochastic Processes, A Friendly Introduction for Electrical and Computer Engineers

Facts101 is your complete guide to Probability and Stochastic Processes, A Friendly Introduction for Electrical and Computer Engineers. In this book, you will learn topics such as as those in your book plus much more. With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time.
## Stochastik

Due to the extremely positive reception of this textbook, it is now being published in its 5th edition. The book provides an introduction to the key ideas and elements of probability theory and statistics. Stochastic concepts, models, and methods are highlighted through typical application examples, then analyzed theoretically and systematically explored.
## Mathematische Statistik

## Probability, Statistics, and Random Processes for Engineers

This book focuses on teaching probabilistic and statistical methods to upper-division electrical and computer engineering (EECE) students. It is the result of over 20 years of teaching this course in the rapidly changing environment of EECE education. In addition to being a readable and focused book for EECE students, the book is a teachable book for EECE instructors with a variety of technical backgrounds. The first part of the book, Chapters 1-3, contains fundamental probability material. The second part, Chapters 4-7, presents applications and extensions based upon the first three chapters. The four application chapters may be studied in any order, as they do not depend on each other in any essential way.
## Random Processes for Engineers

This engaging introduction to random processes provides students with the critical tools needed to design and evaluate engineering systems that must operate reliably in uncertain environments. A brief review of probability theory and real analysis of deterministic functions sets the stage for understanding random processes, whilst the underlying measure theoretic notions are explained in an intuitive, straightforward style. Students will learn to manage the complexity of randomness through the use of simple classes of random processes, statistical means and correlations, asymptotic analysis, sampling, and effective algorithms. Key topics covered include: • Calculus of random processes in linear systems • Kalman and Wiener filtering • Hidden Markov models for statistical inference • The estimation maximization (EM) algorithm • An introduction to martingales and concentration inequalities. Understanding of the key concepts is reinforced through over 100 worked examples and 300 thoroughly tested homework problems (half of which are solved in detail at the end of the book).
## Zeitdiskrete Signalverarbeitung

Wer die Methoden der digitalen Signalverarbeitung erlernen oder anwenden will, kommt ohne das weltweit bekannte, neu gefaßte Standardwerk "Oppenheim/Schafer" nicht aus. Die Beliebtheit des Buches beruht auf den didaktisch hervorragenden Einführungen, der umfassenden und tiefgreifenden Darstellung der Grundlagen, der kompetenten Berücksichtigung moderner Weiterentwicklungen und der Vielzahl verständnisfördernder Aufgaben.
## Grundlagen der Kommunikationstechnik

## Finanzderivate mit MATLAB®

In der Finanzwelt ist der Einsatz von Finanzderivaten zu einem unentbehrlichen Hilfsmittel zur Absicherung von Risiken geworden. Dieses Buch richtet sich an Studierende der (Finanz-) Mathematik und der Wirtschaftswissenschaften im Hauptstudium, die mehr über Finanzderivate und ihre mathematische Behandlung erfahren möchten. Es werden moderne numerische Methoden vorgestellt, mit denen die entsprechenden Bewertungsgleichungen in der Programmierumgebung MATLAB gelöst werden können.
## Basic Probability Theory with Applications

The main intended audience for this book is undergraduate students in pure and applied sciences, especially those in engineering. Chapters 2 to 4 cover the probability theory they generally need in their training. Although the treatment of the subject is surely su?cient for non-mathematicians, I intentionally avoided getting too much into detail. For instance, topics such as mixed type random variables and the Dirac delta function are only brie?y mentioned. Courses on probability theory are often considered di?cult. However, after having taught this subject for many years, I have come to the conclusion that one of the biggest problems that the students face when they try to learn probability theory, particularly nowadays, is their de?ciencies in basic di?erential and integral calculus. Integration by parts, for example, is often already forgotten by the students when they take a course on probability. For this reason, I have decided to write a chapter reviewing the basic elements of di?erential calculus. Even though this chapter might not be covered in class, the students can refer to it when needed. In this chapter, an e?ort was made to give the readers a good idea of the use in probability theory of the concepts they should already know. Chapter 2 presents the main results of what is known as elementary probability, including Bayes’ rule and elements of combinatorial analysis.
## Probability, Random Variables, and Random Signal Principles

The fourth edition of "Probability, Random Variables and Random Signal Principles" continues the success of previous editions with its concise introduction to probability theory for the junior-senior level course in electrical engineering. The book offers a careful, logical organization which stresses fundamentals and includes almost 900 student exercises and abundant practical applications for engineers to understand probability concepts. The most important new material in this edition relates to discrete-time random processes and sequences, and other topics in the general area of digital signal processing, such as the DT linear system.
## Computer Architecture and Organization

An accessible introduction to computer systems and architecture Anyone aspiring to more advanced studies in computer-related fields must gain an understanding of the two parallel aspects of the modern digital computer: programming methodology and the underlying machine architecture. The uniquely integrated approach of Computer Architecture and Organization connects the programmer's view of a computer system with the associated hardware and peripheral devices, providing a thorough, three-dimensional view of what goes on inside the machine. Covering all the major topics normally found in a first course in computer architecture, the text focuses on the essentials including the instruction set architecture (ISA), network-related issues, and programming methodology. Using "real world" case studies to put the information into perspective, the chapters examine: * Data representation * Arithmetic * The instruction set architecture * Datapath and Control * Languages and the machine * Memory * Buses and peripherals * Networking and communication * Advanced computer architecture A valuable feature of this book is the use of ARC, a subset of the SPARC processor, for an instruction set architecture. A platform-independent ARCTools suite, containing an assembler and simulator for the ARC ISA, that supports the examples used in the book is available. Better yet, the content is supplemented by online problem sets available through WileyPlus. Balanced and thoughtfully designed for use as either a classroom text or self-study guide, Computer Architecture and Organization: An Integrated Approach will put you solidly on track for advancing to higher levels in computer-related disciplines. About the Author: MILES MURDOCCAserves as the President and CEO of Internet Institute USA (IIUSA), a private postsecondary information technology (IT) school specializing in networking, operating systems, IP telephony, programming, and security. Previously, Dr. Murdocca has been a computer science faculty member at Rutgers University and a research scientist at AT&T Bell Laboratories working in computer architecture, networking, and digital optical computing. He is the author of A Digital Design Methodology for Optical Computing and Principles of Computer Architecture and a contributing author to Computer Systems Design and Architecture, Second Edition as well as the author of dozens of professional papers and patents relating to information technology. VINCE HEURING is an associate professor and acting chair of the Department of Electrical and Computer Engineering at the University of Colorado at Boulder. He has been at the university since 1984, and prior to that he spent three years at the University of Cincinnati. Professor Heuring's research encompasses computer architectures and programming language design implementation. He and his colleague, Harry Jordan, designed and built the world's first stored program optical computer, "SPOC."
## Probability and Random Processes

The second edition enhanced with new chapters, figures, andappendices to cover the new developments in applied mathematicalfunctions This book examines the topics of applied mathematical functionsto problems that engineers and researchers solve daily in thecourse of their work. The text covers set theory, combinatorics,random variables, discrete and continuous probability, distributionfunctions, convergence of random variables, computer generation ofrandom variates, random processes and stationarity concepts withassociated autocovariance and cross covariance functions,estimation theory and Wiener and Kalman filtering ending with twoapplications of probabilistic methods. Probability tables with ninedecimal place accuracy and graphical Fourier transform tables areincluded for quick reference. The author facilitates understandingof probability concepts for both students and practitioners bypresenting over 450 carefully detailed figures and illustrations,and over 350 examples with every step explained clearly and somewith multiple solutions. Additional features of the second edition of Probability andRandom Processes are: Updated chapters with new sections on Newton-Pepys’problem; Pearson, Spearman, and Kendal correlation coefficients;adaptive estimation techniques; birth and death processes; andrenewal processes with generalizations A new chapter on Probability Modeling in TeletrafficEngineering written by Kavitha Chandra An eighth appendix examining the computation of the roots ofdiscrete probability-generating functions With new material on theory and applications of probability,Probability and Random Processes, Second Edition is athorough and comprehensive reference for commonly occurringproblems in probabilistic methods and their applications.
## Wahrscheinlichkeitsrechnung und Statistik

Das Buch ist eine Einführung in die Wahrscheinlichkeitsrechnung und mathematische Statistik auf mittlerem mathematischen Niveau. Die Pädagogik der Darstellung unterscheidet sich in wesentlichen Teilen – Einführung der Modelle für unabhängige und abhängige Experimente, Darstellung des Suffizienzbegriffes, Ausführung des Zusammenhanges zwischen Testtheorie und Theorie der Bereichschätzung, allgemeine Diskussion der Modellentwicklung – erheblich von der anderer vergleichbarer Lehrbücher. Die Darstellung ist, soweit auf diesem Niveau möglich, mathematisch exakt, verzichtet aber bewußt und ebenfalls im Gegensatz zu vergleichbaren Texten auf die Erörterung von Meßbarkeitsfragen. Der Leser wird dadurch erheblich entlastet, ohne daß wesentliche Substanz verlorengeht. Das Buch will allen, die an der Anwendung der Statistik auf solider Grundlage interessiert sind, eine Einführung bieten, und richtet sich an Studierende und Dozenten aller Studienrichtungen, für die mathematische Statistik ein Werkzeug ist.
## Probability and Random Processes for Electrical Engineers

This book introduces the fundamentals of probability theory and random processes by demonstrating its application to real-world engineering problems. It connects theory and practice through an emphasis on mathematical modeling and promotes a hands-on approach to the subject. At every step of theoretical development, the student is invited to challenge the theory by asking "what-if" questions. Specially written Matlab programs, which are available at the text's Web site, encourage real data experimentation and facilitate the visual modeling of difficult probabilistic concepts. The modeling tools are clearly identified in every chapter and are accompanied by discussions of the applicability, power, and limitations of each tool. It is ideally suited for advanced undergraduates and graduate students in electrical and computer engineering.
## Random Processes in Linear Systems

This book provides an introduction to random processes, and includes content in digital communications and signal processing. Chapter topics cover Probability and Random Variables—Review and Notation, an introduction to Random Processes, Linear Filtering of Random Processes, and Frequency-Domain Analysis of Random Processes in Linear Systems. For practicing engineers.
## Applied Probability and Statistics

This book moves systematically through the topic of applied probability from an introductory chapter to such topics as random variables and vectors, stochastic processes, estimation, testing and regression. The topics are well chosen and the presentation is enriched by many examples from real life. Each chapter concludes with many original, solved and unsolved problems and hundreds of multiple choice questions, enabling those unfamiliar with the topics to master them. Additionally appealing are historical notes on the mathematicians mentioned throughout, and a useful bibliography. A distinguishing character of the book is its thorough and succinct handling of the varied topics.

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