Download or read book Nonlinear Transformations of Random Processes written by Ralph Deutsch and published by Courier Dover Publications. This book was released on 2017-11-08 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise treatment of nonlinear noise techniques encountered in system applications is suitable for advanced undergraduates and graduate students. It is also a valuable reference for systems analysts and communication engineers. 1962 edition.
Download or read book Nonlinear Transformations of Random Processes written by Ralph Deutsch and published by Courier Dover Publications. This book was released on 2017-11-15 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise treatment of nonlinear noise techniques encountered in system applications is suitable for advanced undergraduates and graduate students. The book is also a valuable reference for systems analysts and communication engineers, as it discusses the basic mathematical theories of nonlinear transformations applied to random processes encountered in communications and control systems. Prerequisites include a familiarity with statistics, probability, complex variables, and Fourier and Laplace transforms. The first five chapters present specific classes of nonlinear devices and random processes that in combination lead to closed form solutions for the statistical properties of the transformed process. Subsequent chapters address techniques based on the use of series representations, general systematic approaches to the subject of nonlinear transformations of random processes, and sampling and quantizing a random process. A helpful Appendix features notes on hypergeometric functions.
Download or read book Non Linear Transformations of Stochastic Processes written by P. I. Kuznetsov and published by Elsevier. This book was released on 2014-05-12 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-Linear Transformations of Stochastic Processes focuses on the approaches, methodologies, transformations, and computations involved in the non-linear transformations of stochastic processes. The selection first underscores some problems of the theory of stochastic processes and the transmission of random functions through non-linear systems. Discussions focus on the transformation of moment functions for the general non-linear transformation; conversion formulas for correlation functions; transformation of moment functions for the simplest type of non-linear transformation; and normalization of the linear system of probability distribution laws. The text then ponders on quasi-moment functions in the theory of random processes and correlation functions in the theory of the Brownian motion generalization of the Fokker-Planck equation. The manuscript elaborates on the correlation functions of random sequences of rectangular pulses; method of determining the envelope of quasi-harmonic fluctuations; and the problem of measuring electrical fluctuations with the aid of thermoelectric devices. The book then examines the effect of signal and noise on non-linear elements and the approximate method of calculating the correlation function of stochastic signals. The selection is a dependable source of information for researchers interested in the non-linear transformations of stochastic processes.
Download or read book Nonlinear Transformations of Random Processes written by Norman Abramson and published by . This book was released on 1966 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper provides a general method of calculating the mean square bandwidth of an arbitrary zero-memory nonlinear transformation of a stationary random process. The method is valid when the original process is non-Gaussian as well as Gaussian and when the original process is an arbitrary combination of other random processes. It can be used to determine the mean square bandwidth of the transformed process either before or after that process is passed through a bandpass filter. Five examples of the application of this method are provided simplifying and generalizing known results, as well as providing new results. (Author).
Download or read book Random Processes in Nonlinear Control Systems by A A Pervozvanskii written by A. A. Pervozvanskii and published by Elsevier. This book was released on 1965-01-01 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Download or read book General Theory of Random Processes written by and published by . This book was released on 1981 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book General Theory of Random Processes written by R.L. Stratonovich and published by . This book was released on 1967 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topics in the Theory of Random Noise General theory of random processes Nonlinear transformations of signals and noise written by R. L. Stratonovich and published by . This book was released on 1963 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topics in the Theory of Random Noise Volume One written by R. L. Stratonovich and published by . This book was released on 2014-07-19 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: 2014 Reprint of 1963 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. Stratonovich was a Russian physicist, engineer, and probabilist and one of the founders of the theory of stochastic differential equations. The genesis of this book, the first of two volumes concerned with various topics in the theory of random noise, is evidenced in the author's remark, "Random processes are of great and ever increasing interest to scientists and engineers working in various branches of radio physics." The major context and relative emphases of this book are well summarized by detail of the part and chapter headings and the pertinent corresponding page numbers: Part I-GENERAL THEORY OF RANDOM PROCESSES: [Chapter] 1. Random functions and their statistical characteristics (3-20), 2. Stationary random processes and spectral densities (21-37), 3. Gaussian and non-Gaussian random processes, quasi-moment functions (39-54), 4. Markov processes and related processes (55-129), 5. Nonstationary random process (131-141), 6. Systems of random points and related random functions (143-176). 7. Narrow-band random processes (177-200); Part II-NONLINEAR TRANSFORMATIONS OF SIGNALS AND NOISE: 8. Zero-memory nonlinear transformations (203-242), 9. Nonlinear transformations with memory, detections of random signals (243-286).
Download or read book Random Processes for Engineers written by Bruce Hajek and published by Cambridge University Press. This book was released on 2015-03-12 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Download or read book U S Government Research Reports written by and published by . This book was released on 1964 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Transformations of Random Process written by Ralph Deutsch and published by . This book was released on 1962 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Intuitive Probability and Random Processes using MATLAB written by Steven Kay and published by Springer Science & Business Media. This book was released on 2006-03-20 with total page 838 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intuitive Probability and Random Processes using MATLAB® is an introduction to probability and random processes that merges theory with practice. Based on the author’s belief that only "hands-on" experience with the material can promote intuitive understanding, the approach is to motivate the need for theory using MATLAB examples, followed by theory and analysis, and finally descriptions of "real-world" examples to acquaint the reader with a wide variety of applications. The latter is intended to answer the usual question "Why do we have to study this?" Other salient features are: *heavy reliance on computer simulation for illustration and student exercises *the incorporation of MATLAB programs and code segments *discussion of discrete random variables followed by continuous random variables to minimize confusion *summary sections at the beginning of each chapter *in-line equation explanations *warnings on common errors and pitfalls *over 750 problems designed to help the reader assimilate and extend the concepts Intuitive Probability and Random Processes using MATLAB® is intended for undergraduate and first-year graduate students in engineering. The practicing engineer as well as others having the appropriate mathematical background will also benefit from this book. About the Author Steven M. Kay is a Professor of Electrical Engineering at the University of Rhode Island and a leading expert in signal processing. He has received the Education Award "for outstanding contributions in education and in writing scholarly books and texts..." from the IEEE Signal Processing society and has been listed as among the 250 most cited researchers in the world in engineering.
Download or read book The Theory of Random Processes and Its Application in Radio Engineering written by Boris Ruvimovich Levin and published by . This book was released on 1964 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book OAR Cumulative Index of Research Results written by and published by . This book was released on 1967 with total page 1264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stochastic Processes in Engineering Systems written by E. Wong and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a revision of Stochastic Processes in Information and Dynamical Systems written by the first author (E.W.) and published in 1971. The book was originally written, and revised, to provide a graduate level text in stochastic processes for students whose primary interest is its applications. It treats both the traditional topic of sta tionary processes in linear time-invariant systems as well as the more modern theory of stochastic systems in which dynamic structure plays a profound role. Our aim is to provide a high-level, yet readily acces sible, treatment of those topics in the theory of continuous-parameter stochastic processes that are important in the analysis of information and dynamical systems. The theory of stochastic processes can easily become abstract. In dealing with it from an applied point of view, we have found it difficult to decide on the appropriate level of rigor. We intend to provide just enough mathematical machinery so that important results can be stated PREFACE vi with precision and clarity; so much ofthe theory of stochastic processes is inherently simple if the suitable framework is provided. The price of providing this framework seems worth paying even though the ul timate goal is in applications and not the mathematics per se.
Download or read book Random Point Processes in Time and Space written by Donald L. Snyder and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a revision of Random Point Processes written by D. L. Snyder and published by John Wiley and Sons in 1975. More emphasis is given to point processes on multidimensional spaces, especially to pro cesses in two dimensions. This reflects the tremendous increase that has taken place in the use of point-process models for the description of data from which images of objects of interest are formed in a wide variety of scientific and engineering disciplines. A new chapter, Translated Poisson Processes, has been added, and several of the chapters of the fIrst edition have been modifIed to accommodate this new material. Some parts of the fIrst edition have been deleted to make room. Chapter 7 of the fIrst edition, which was about general marked point-processes, has been eliminated, but much of the material appears elsewhere in the new text. With some re luctance, we concluded it necessary to eliminate the topic of hypothesis testing for point-process models. Much of the material of the fIrst edition was motivated by the use of point-process models in applications at the Biomedical Computer Labo ratory of Washington University, as is evident from the following excerpt from the Preface to the first edition. "It was Jerome R. Cox, Jr. , founder and [1974] director of Washington University's Biomedical Computer Laboratory, who ftrst interested me [D. L. S.
