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Author : A. V. Balakrishnan
ISBN : 0471745022
Genre : Technology & Engineering
File Size : 41.89 MB
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Breaking with the traditional treatment of random processes in engineering On the surface, Introduction to Random Processes in Engineering is simply a first-rate textbook for senior or first-year graduate engineering courses in stochastic processes. A closer look, however, reveals an innovative book-rich with examples and commonsense explanations-that demystifies theories, eliminates ambiguities, and provides a solid, up-to-date introduction to this important subject. Departing from the classical texts of the sixties and seventies in its coverage of random signals and data processing, Introduction to Random Processes in Engineering addresses the latest advances in communication, control engineering, and signal processing by allowing all processes to be multidimensional with an emphasis on discrete-time processes and systems. Unlike current texts, this volume provides a strong mathematical perspective for its engineering topics without getting bogged down in technicalities. It employs mathematics to achieve clarity and precision, and at times even uses the theorem/proof style to emphasize mathematical fine points. This approach is particularly advantageous when dealing with random data, and when building an understanding of the many computer programs routinely used, its theoretical principles, and the results it generates. Assuming a senior-level background in probability theory and some acquaintance with linear systems and signals, the book provides: * A review chapter of the formulas used later in the book * Illustrative examples * Emphasis in simulation techniques * Problems accompanying each chapter that often introduce the student to other relevant material * Notes and comments following each chapter that encourage additional reading as well as historical explorations in the field * Tips for using the material at various levels of instruction With its logical and systematically ordered presentation of the material, as well as its fresh approach, Introduction to Random Processes in Engineering is both a superior textbook and a valuable reference for practicing engineers and researchers in the field.

Author : Arthur David Snider
ISBN : 9781498799041
Genre : Technology & Engineering
File Size : 33.8 MB
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This book offers an intuitive approach to random processes and educates the reader on how to interpret and predict their behavior. Premised on the idea that new techniques are best introduced by specific, low-dimensional examples, the mathematical exposition is easier to comprehend and more enjoyable, and it motivates the subsequent generalizations. It distinguishes between the science of extracting statistical information from raw data--e.g., a time series about which nothing is known a priori--and that of analyzing specific statistical models, such as Bernoulli trials, Poisson queues, ARMA, and Markov processes. The former motivates the concepts of statistical spectral analysis (such as the Wiener-Khintchine theory), and the latter applies and interprets them in specific physical contexts. The formidable Kalman filter is introduced in a simple scalar context, where its basic strategy is transparent, and gradually extended to the full-blown iterative matrix form.

Author : James J. Solberg
ISBN : UCSC:32106019878245
Genre : Mathematics
File Size : 60.65 MB
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By reducing mathematical detail and focusing on real-world applications, this book provides engineers with an easy-to-understand overview of stochastic modeling. An entire chapter is included on how to set up the problem, and then another complete chapter presents examples of applications before doing any math. A previously unpublished computational method for solving equations related to Markov processes is added. The book shows how to add costs or revenues to the basic probability structures without much additional effort. In addition, numerous examples are included that show how the theory can be used. Engineers will also find explanations on how to formulate word problems into the models that the math worked on.

Author : A. Bruce Clarke
ISBN : UOM:39015000988199
Genre : Mathematics
File Size : 20.86 MB
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Sample spaces; Combinatorial probability; Random variables; Sets of random variables and random sequences; Expectation; Special distributions; Stochastic processes; Discrete parameter markov processes: the finite, irreducible case; Algebraic methods useful in the study of markov chains; Nonirreducible or nonfinite markov chains; Continuous parameter markov chains; Limiting distributions of continuous parameter markov processes; Introduction to queueing theory; Further properties of stochastic processes.

Author : Richard H. Williams
ISBN : 0534368883
Genre : Mathematics
File Size : 57.66 MB
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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.