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Diffusion Approximations For The Analysis Of Digital Phase Locked Loops
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Book Synopsis Diffusion Approximations for the Analysis of Digital Phase Locked Loops by : Harold Joseph Kushner
Download or read book Diffusion Approximations for the Analysis of Digital Phase Locked Loops written by Harold Joseph Kushner and published by . This book was released on 1980 with total page 67 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent results for getting diffusion limits of a sequence of suitably scaled stochastic processes are applied to the synchronization problem for a digital phase locked loop (DPLL). The discrete time parameter error processes is suitably amplitude scaled and interpolated into a continuous time parameter process. For small filter gains and symbol intervals, a diffusion process approximation is rigorously obtained. This approximation is a Gauss-Markov process and it yields approximate error variances, passage time distributions, correlation properties, (among other properties) for the DPLL. The tracking problem when the clock drifts is also treated. The technique is applicable to a wide variety of related problems, to get continuous time Markov systems which are easier to analyze the original (continuous or discrete time) systems which they approximate. (Author).
Book Synopsis Diffusion Approximations for the Analysis of Digital Phase Locked Loops. II. Diffusion Approximations for Nonlinear Phase Loop-Type Systems with Wide Band Inputs by : H. J. Kushner
Download or read book Diffusion Approximations for the Analysis of Digital Phase Locked Loops. II. Diffusion Approximations for Nonlinear Phase Loop-Type Systems with Wide Band Inputs written by H. J. Kushner and published by . This book was released on 1980 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent results for getting diffusion limits of a sequence of suitably scaled stochastic processes are applied to the synchronization problem for a digital phase locked loop (DPLL). The discrete time parameter error process is suitably amplitude scaled and interpolated into a continuous time parameter process. For small filter gains and symbol intervals, a diffusion process approximation is rigorously obtained. This approximation is a Gauss-Markov proces and it yields approximate error variances, passage time distributions, correlation properties, (among other properties) for the DPLL. The tracking problem when the clock drifts is also treated. The technique is applicable to a wide variety of related problems, to get continuous time Markov systems which are easier to analyze the original (continuous or discrete time) systems which they approximate. (Author).
Book Synopsis Analysis of Digital Phase-locked Loops by : C. M. Chie
Download or read book Analysis of Digital Phase-locked Loops written by C. M. Chie and published by . This book was released on 1990 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Technical Abstract Bulletin written by and published by . This book was released on 1980 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Book Synopsis Approximation and Weak Convergence Methods for Random Processes, with Applications to Stochastic Systems Theory by : Harold Joseph Kushner
Download or read book Approximation and Weak Convergence Methods for Random Processes, with Applications to Stochastic Systems Theory written by Harold Joseph Kushner and published by MIT Press. This book was released on 1984 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control and communications engineers, physicists, and probability theorists, among others, will find this book unique. It contains a detailed development of approximation and limit theorems and methods for random processes and applies them to numerous problems of practical importance. In particular, it develops usable and broad conditions and techniques for showing that a sequence of processes converges to a Markov diffusion or jump process. This is useful when the natural physical model is quite complex, in which case a simpler approximation la diffusion process, for example) is usually made. The book simplifies and extends some important older methods and develops some powerful new ones applicable to a wide variety of limit and approximation problems. The theory of weak convergence of probability measures is introduced along with general and usable methods (for example, perturbed test function, martingale, and direct averaging) for proving tightness and weak convergence. Kushner's study begins with a systematic development of the method. It then treats dynamical system models that have state-dependent noise or nonsmooth dynamics. Perturbed Liapunov function methods are developed for stability studies of nonMarkovian problems and for the study of asymptotic distributions of non-Markovian systems. Three chapters are devoted to applications in control and communication theory (for example, phase-locked loops and adoptive filters). Smallnoise problems and an introduction to the theory of large deviations and applications conclude the book. Harold J. Kushner is Professor of Applied Mathematics and Engineering at Brown University and is one of the leading researchers in the area of stochastic processes concerned with analysis and synthesis in control and communications theory. This book is the sixth in The MIT Press Series in Signal Processing, Optimization, and Control, edited by Alan S. Willsky.
Book Synopsis Stochastic Analysis and Applications by : Mark A. Pinsky
Download or read book Stochastic Analysis and Applications written by Mark A. Pinsky and published by CRC Press. This book was released on 2020-10-15 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume attempts to exhibit current research in stochastic integration, stochastic differential equations, stochastic optimization and stochastic problems in physics and biology. It includes information on the theory of Dirichlet forms, Feynman integration and the Schrodinger's equation.
Book Synopsis Performance Analysis of Digital Phase Locked Loop Based Demodulator by : Albert Yea-Ping Chen
Download or read book Performance Analysis of Digital Phase Locked Loop Based Demodulator written by Albert Yea-Ping Chen and published by . This book was released on 1993 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Phase-Locked Loops for Wireless Communications by : Donald R. Stephens
Download or read book Phase-Locked Loops for Wireless Communications written by Donald R. Stephens and published by Springer Science & Business Media. This book was released on 2002 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: A tutorial of phase-locked loops from analogue implementations to digital and optical designs. This text establishes a foundation of continuous-time analysis techniques and maintains a consistent notation as discrete-time and non-uniform sampling are presented. It examines charge pumps and the complementary sequential phase detector. Frequency synthesizers and digital divider analysis/techniques are also included in this edition.; Starting with a historical overview, presenting analogue, digital, and optical PLLs, discussing phase noise analysis, and including circuits/algorithms for data synchronization, this volume illustrates the techniques being used in this field.; The subjects covered include: development of phase-locked loops from analogue to digital and optical, with notation throughout; expanded coverage of the loop filters used to design second- and third-order PLLs; design examples on delay-locked loops used to synchronize circuits on CPUs and ASICS; new material on digital dividers that dominate a frequency synthesizer's noise floor; techniques to analytically estimate the phase noise of a divider; presentation of optical phase-locked loops with primers on the optical components and fundamentals of optical mixing; a section on automatic frequency control to provide frequency-locking of the lasers instead of phase-locking; and a presentation of charge pumps, counters, and delay-locked loops.; This volume includes the topics that should be of interest to wireless, optics, and the traditional phase-locked loop specialist to design circuits and software algorithms.
Book Synopsis Mathematics of Random Media by : Werner E. Kohler
Download or read book Mathematics of Random Media written by Werner E. Kohler and published by American Mathematical Soc.. This book was released on with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, there has been remarkable growth in the mathematics of random media. The field has deep scientific and technological roots, as well as purely mathematical ones in the theory of stochastic processes. This collection of papers by leading researchers provides an overview of this rapidly developing field. The papers were presented at the 1989 AMS-SIAM Summer Seminar in Applied Mathematics, held at Virginia Polytechnic Institute and State University in Blacksburg, Virginia. In addition to new results on stochastic differential equations and Markov processes, fields whose elegant mathematical techniques are of continuing value in application areas, the conference was organized around four themes: Systems of interacting particles are normally viewed in connection with the fundamental problems of statistical mechanics, but have also been used to model diverse phenomena such as computer architectures and the spread of biological populations. Powerful mathematical techniques have been developed for their analysis, and a number of important systems are now well understood. Random perturbations of dynamical systems have also been used extensively as models in physics, chemistry, biology, and engineering. Among the recent unifying mathematical developments is the theory of large deviations, which enables the accurate calculation of the probabilities of rare events. For these problems, approaches based on effective but formal perturbation techniques parallel rigorous mathematical approaches from probability theory and partial differential equations. The book includes representative papers from forefront research of both types. Effective medium theory, otherwise known as the mathematical theory of homogenization, consists of techniques for predicting the macroscopic properties of materials from an understanding of their microstructures. For example, this theory is fundamental in the science of composites, where it is used for theoretical determination of electrical and mechanical properties. Furthermore, the inverse problem is potentially of great technological importance in the design of composite materials which have been optimized for some specific use. Mathematical theories of the propagation of waves in random media have been used to understand phenomena as diverse as the twinkling of stars, the corruption of data in geophysical exploration, and the quantum mechanics of disordered solids. Especially effective methods now exist for waves in randomly stratified, one-dimensional media. A unifying theme is the mathematical phenomenon of localization, which occurs when a wave propogating into a random medium is attenuated exponentially with propagation distance, with the attenuation caused solely by the mechanism of random multiple scattering. Because of the wide applicability of this field of research, this book would appeal to mathematicians, scientists, and engineers in a wide variety of areas, including probabilistic methods, the theory of disordered materials, systems of interacting particles, the design of materials, and dynamical systems driven by noise. In addition, graduate students and others will find this book useful as an overview of current research in random media.
Book Synopsis IEEE International Symposium on Information Theory by :
Download or read book IEEE International Symposium on Information Theory written by and published by . This book was released on 1981 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Graphycal analysis of a digital phase-locked loop by : Franco Russo
Download or read book Graphycal analysis of a digital phase-locked loop written by Franco Russo and published by . This book was released on 1979 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Adaptive Systems in Control and Signal Processing 1986 by : K.J. Aström
Download or read book Adaptive Systems in Control and Signal Processing 1986 written by K.J. Aström and published by Elsevier. This book was released on 2016-07-21 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second IFAC workshop discusses the variety and applications of adaptive systems in control and signal processing. The various approaches to adaptive control systems are covered and their stability and adaptability analyzed. The volume also includes papers taken from two poster sessions to give a concise and comprehensive overview/treatment of this increasingly important field.
Book Synopsis Sample Data Analysis of Digital Phase-locked Loops by : Larrie Fred Judd
Download or read book Sample Data Analysis of Digital Phase-locked Loops written by Larrie Fred Judd and published by . This book was released on 1967 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Modeling and Analysis of a New Class of Digital Phase Locked Loops by : Gurnam Singh Gill
Download or read book Modeling and Analysis of a New Class of Digital Phase Locked Loops written by Gurnam Singh Gill and published by . This book was released on 1971 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Phase-locked Loops & Their Application by : William C. Lindsey
Download or read book Phase-locked Loops & Their Application written by William C. Lindsey and published by . This book was released on 1978 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Government Reports Announcements & Index by :
Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1981 with total page 964 pages. Available in PDF, EPUB and Kindle. Book excerpt:
