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The Noisy Oscillator
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Book Synopsis The Noisy Oscillator by : M. Gitterman
Download or read book The Noisy Oscillator written by M. Gitterman and published by World Scientific. This book was released on 2005 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Processes; Fluctuation Phenomena; Classical Statistical Mechanics; Oscillator; Brownian Motion; Stochastic Resonance; Multiplicative Noise.
Book Synopsis The Noisy Oscillator by : Moshe Gitterman
Download or read book The Noisy Oscillator written by Moshe Gitterman and published by World Scientific Publishing Company. This book was released on 2012-12-18 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: The properties of the harmonic oscillator with random frequency or/and random damping formed the content of the first edition. The second edition includes hundreds of publications on this subject since 2005. The noisy oscillator continues to be the subject of intensive studies in physics, chemistry, biology, and social sciences. The new and the latest type of a stochastic oscillator has also been considered, namely, an oscillator with random mass. Such model describes, among other phenomena, Brownian motion with adhesion, where the molecules of the surrounding medium not only randomly collide, but also stick to the Brownian particle for some (random) time, thereby changing its mass. This edition contains two new chapters, eight new sections and an expanded bibliography. A wide group of researchers, students and teachers will benefit from this book.
Book Synopsis Noisy Oscillator, The: The First Hundred Years, From Einstein Until Now by : Moshe Gitterman
Download or read book Noisy Oscillator, The: The First Hundred Years, From Einstein Until Now written by Moshe Gitterman and published by World Scientific. This book was released on 2005-11-09 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains comprehensive descriptions of stochastic processes described by underdamped and overdamped oscillator equations with additive and multiplicative random forcing. The latter is associated with random frequency or random damping. The coverage includes descriptions of various new phenomena discovered in the last hundred years since the explanation of Brownian motion by Einstein, Smoluchovski and Langevin, such as the shift of stable points, noise-enhanced stability, stochastic resonance, resonant activation, and stabilization of metastable states. In addition to many applications in physics, chemistry, biology, medicine, economics and sociology, these discoveries have clarified the deep relationship between determinism and stochasticity, which turns out to be complimentary rather than contradictory, with noise playing both constructive and destructive roles.
Book Synopsis Phase Noise and Frequency Stability in Oscillators by : Enrico Rubiola
Download or read book Phase Noise and Frequency Stability in Oscillators written by Enrico Rubiola and published by Cambridge University Press. This book was released on 2010-06-10 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting a comprehensive account of oscillator phase noise and frequency stability, this practical text is both mathematically rigorous and accessible. An in-depth treatment of the noise mechanism is given, describing the oscillator as a physical system, and showing that simple general laws govern the stability of a large variety of oscillators differing in technology and frequency range. Inevitably, special attention is given to amplifiers, resonators, delay lines, feedback, and flicker (1/f) noise. The reverse engineering of oscillators based on phase-noise spectra is also covered, and end-of-chapter exercises are given. Uniquely, numerous practical examples are presented, including case studies taken from laboratory prototypes and commercial oscillators, which allow the oscillator internal design to be understood by analyzing its phase-noise spectrum. Based on tutorials given by the author at the Jet Propulsion Laboratory, international IEEE meetings, and in industry, this is a useful reference for academic researchers, industry practitioners, and graduate students in RF engineering and communications engineering.
Book Synopsis Noise in High-Frequency Circuits and Oscillators by : Burkhard Schiek
Download or read book Noise in High-Frequency Circuits and Oscillators written by Burkhard Schiek and published by John Wiley & Sons. This book was released on 2006-07-14 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classroom-tested book addressing key issues of electrical noise This book examines noise phenomena in linear and nonlinear high-frequency circuits from both qualitative and quantitative perspectives. The authors explore important noise mechanisms using equivalent sources and analytical and numerical methods. Readers learn how to manage electrical noise to improve the sensitivity and resolution of communication, navigation, measurement, and other electronic systems. Noise in High-Frequency Circuits and Oscillators has its origins in a university course taught by the authors. As a result, it is thoroughly classroom-tested and carefully structured to facilitate learning. Readers are given a solid foundation in the basics that allows them to proceed to more advanced and sophisticated themes such as computer-aided noise simulation of high-frequency circuits. Following a discussion of mathematical and system-oriented fundamentals, the book covers: * Noise of linear one- and two-ports * Measurement of noise parameters * Noise of diodes and transistors * Parametric circuits * Noise in nonlinear circuits * Noise in oscillators * Quantization noise Each chapter contains a set of numerical and analytical problems that enable readers to apply their newfound knowledge to real-world problems. Solutions are provided in the appendices. With their many years of classroom experience, the authors have designed a book that is ideal for graduate students in engineering and physics. It also addresses key issues and points to solutions for engineers working in the burgeoning satellite and wireless communications industries.
Book Synopsis The Design of Low Noise Oscillators by : Ali Hajimiri
Download or read book The Design of Low Noise Oscillators written by Ali Hajimiri and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is hardly a revelation to note that wireless and mobile communications have grown tremendously during the last few years. This growth has placed stringent requi- ments on channel spacing and, by implication, on the phase noise of oscillators. C- pounding the challenge has been a recent drive toward implementations of transceivers in CMOS, whose inferior 1/f noise performance has usually been thought to disqualify it from use in all but the lowest-performance oscillators. Low noise oscillators are also highly desired in the digital world, of course. The c- tinued drive toward higher clock frequencies translates into a demand for ev- decreasing jitter. Clearly, there is a need for a deep understanding of the fundamental mechanisms g- erning the process by which device, substrate, and supply noise turn into jitter and phase noise. Existing models generally offer only qualitative insights, however, and it has not always been clear why they are not quantitatively correct.
Book Synopsis The Noisy Pendulum by : M. Gitterman
Download or read book The Noisy Pendulum written by M. Gitterman and published by World Scientific. This book was released on 2008 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the general description of the mathematical pendulum subject to constant torque, periodic and random forces. The latter appear in additive and multiplicative form with their possible correlation. For the underdamped pendulum driven by periodic forces, a new phenomenon OCo deterministic chaos OCo comes into play, and the common action of this chaos and the influence of noise are taken into account. The inverted position of the pendulum can be stabilized either by periodic or random oscillations of the suspension axis or by inserting a spring into a rigid rod, or by their combination. The pendulum is one of the simplest nonlinear models, which has many applications in physics, chemistry, biology, medicine, communications, economics and sociology. A wide group of researchers working in these fields, along with students and teachers, will benefit from this book.
Book Synopsis Discrete Oscillator Design by : Randall W. Rhea
Download or read book Discrete Oscillator Design written by Randall W. Rhea and published by Artech House. This book was released on 2014-05-14 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Oscillators are an essential part of all spread spectrum, RF, and wireless systems, and todayOCOs engineers in the field need to have a firm grasp on how they are designed. Presenting an easy-to-understand, unified view of the subject, this authoritative resource covers the practical design of high-frequency oscillators with lumped, distributed, dielectric and piezoelectric resonators. Including numerous examples, the book details important linear, nonlinear harmonic balance, transient and noise analysis techniques. Moreover, the book shows you how to apply these techniques to a wide range of oscillators. You gain the knowledge needed to create unique designs that elegantly match your specification needs. Over 360 illustrations and more than 330 equations support key topics throughout the book.
Book Synopsis The Designer's Guide to High-Purity Oscillators by : Emad Eldin Hegazi
Download or read book The Designer's Guide to High-Purity Oscillators written by Emad Eldin Hegazi and published by Springer Science & Business Media. This book was released on 2006-07-18 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: try to predict it using mathematical expressions. His heuristic model without mathematical proof is almost universally accepted. However, it entails a c- cuit specific noise factor that is not known a priori and so is not predictive. In this work, we attempt to address the topic of oscillator design from a diff- ent perspective. By introducing a new paradigm that accurately captures the subtleties of phase noise we try to answer the question: 'why do oscillators behave in a particular way?' and 'what can be done to build an optimum design?' It is also hoped that the paradigm is useful in other areas of circuit design such as frequency synthesis and clock recovery. In Chapter 1, a general introduction and motivation to the subject is presented. Chapter 2 summarizes the fundamentals of phase noise and timing jitter and discusses earlier works on oscillator's phase noise analysis. Chapter 3 and Chapter 4 analyze the physical mechanisms behind phase noise generation in current-biased and Colpitts oscillators. Chapter 5 discusses design trade-offs and new techniques in LC oscillator design that allows optimal design. Chapter 6 and Chapter 7 discuss a topic that is typically ignored in oscillator design. That is flicker noise in LC oscillators. Finally, Chapter 8 is dedicated to the complete analysis of the role of varactors both in tuning and AM-FM noise conversion.
Book Synopsis Noise, Oscillators and Algebraic Randomness by : Michel Planat
Download or read book Noise, Oscillators and Algebraic Randomness written by Michel Planat and published by Springer. This book was released on 2008-01-11 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Noise is ubiquitous in nature and in man-made systems. Noise in oscillators perturbs high-technology devices such as time standards or digital communication systems. The understanding of its algebraic structure is thus of vital importance. The book addresses both the measurement methods and the understanding of quantum, 1/f and phase noise in systems such as electronic amplifiers, oscillators and receivers, trapped ions, cosmic ray showers and in commercial applications. A strong link between 1/f noise and number theory is emphasized. The twenty papers in the book are comprehensive versions of talks presented at a school in Chapelle des Bois (Jura, France) held from April 6 to 10, 1999, by engineers, physisicts and mathematicians.
Book Synopsis Oscillator And Pendulum With A Random Mass by : Moshe Gitterman
Download or read book Oscillator And Pendulum With A Random Mass written by Moshe Gitterman and published by World Scientific. This book was released on 2015-01-05 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic descriptions of a harmonic oscillator can be obtained by adding additive noise, or/and three types of multiplicative noise: random frequency, random damping and random mass. The first three types of noise were intensively studied in many published articles. In this book the fourth case, that of random mass, is considered in the context of the harmonic oscillator and its immediate nonlinear generalization — the pendulum. To our knowledge it is the first book fully dedicated to this problem.Two interrelated methods, the Langevin equation and the Fokker-Planck equations, as well as the Lyapunov stability method are used for the mathematical analysis. After a short introduction, the two main parts of the book describe the different properties of the random harmonic oscillator and the random pendulum with random masses. As an example, the stochastic resonance is studied, where the noise plays an unusual role, increasing the applied weak periodic signal, and also the vibration resonance in dynamic systems, where the role of noise is played by the second high-frequency periodic signal.First and second averaged moments have been calculated for a system with different types of additive and multiplicative noises, which define the stability of a system. The calculations have been extended to two multiplicative noises and to quadratic noise. This book is useful for students and scientists working in different fields of statistical physics.
Book Synopsis Low Phase Noise Microwave Oscillator Design by : Robert G. Rogers
Download or read book Low Phase Noise Microwave Oscillator Design written by Robert G. Rogers and published by Artech House Publishers. This book was released on 1991 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Treats oscillators as the sum of two circuit elements: the active circuit element (including the transistor) and the frequency-determining resonant circuit element. This book provides step-by-step procedures for designing each element in isolation and then combining them to produce the oscillator.
Book Synopsis Phase Noise in Signal Sources by : W. P. Robins
Download or read book Phase Noise in Signal Sources written by W. P. Robins and published by IET. This book was released on 1984 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a thorough treatment of phase noise, its relationship to thermal noise and associated subjects such as frequency stability. The design of low phase noise signal sources, including oscillators and synthesisers, is explained and in many cases the measured phase noise characteristics are compared with the theoretical predictions. Full theoretical treatments are combined with physical explanations, helpful comments, examples of manufactured equipment and practical tips. Overall system performance degradations due to unwanted phase noise are fully analysed for radar systems and for both analogue and digital communications systems. Specifications for the acceptable phase noise performance of signal sources to be used in such systems are derived after allowing for both technical and economic optimisation. The mature engineer whose mathematics may be somewhat rusty will find that every effort has been made to use the lowest level of mathematical sophistication that is compatible with a full analysis and every line of each mathematical argument has been set out so that the book may be read and understood even in an armchair. Due to a novel approach to the analytical treatment of narrow band noise, the book is simple to understand while simultaneously carrying the analysis further in several areas than any existing publication.
Book Synopsis Noise Analysis of Radio Frequency Circuits by : Amit Mehrotra
Download or read book Noise Analysis of Radio Frequency Circuits written by Amit Mehrotra and published by Springer Science & Business Media. This book was released on 2004 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Predicting noise in RF systems at the design stage is extremely important. This book concentrates on developing noise simulation techniques for RF circuits. The authors present a novel approach of performing noise analysis for RF circuits.
Book Synopsis RF and Microwave Oscillator Design by : Michał Odyniec
Download or read book RF and Microwave Oscillator Design written by Michał Odyniec and published by Artech House. This book was released on 2002 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: This groundbreaking book is the first to present the state of the art in microwave oscillator design with an emphasis on new nonlinear methods. A compilation of pioneering work from experts in the field, it also provides rigorous theory and historical background. Invaluable for professionals at all levels of design expertise, this volume helps you to bridge the gap between design practice and new powerful design methods, learn all aspects of modern oscillator design and review practical designs and experimental results of fixed-frequency, high-Q, low-noise oscillators.
Book Synopsis Phase Noise in Signal Sources by : W. P. Robins
Download or read book Phase Noise in Signal Sources written by W. P. Robins and published by . This book was released on 1982 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Design of Modern Microwave Oscillators for Wireless Applications by : Ulrich L. Rohde
Download or read book The Design of Modern Microwave Oscillators for Wireless Applications written by Ulrich L. Rohde and published by John Wiley & Sons. This book was released on 2005-05-27 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: Delivering the best possible solution for phase noise and outputpower efficiency in oscillators This complete and thorough analysis of microwave oscillatorsinvestigates all aspects of design, with particular emphasis onoperating conditions, choice of resonators and transistors, phasenoise, and output power. It covers both bipolar transistors andFETs. Following the authors' guidance, readers learn how to designmicrowave oscillators and VCOs that can be tuned over a very widefrequency range, yet have good phase noise, are low cost, and aresmall in size. All the essential topics in oscillator design anddevelopment are covered, including: * Device and resonator technology * Study of noise sources * Analysis methods * Design, calculation, and optimization methodologies * Practical design of single and coupled oscillators While most of the current literature in the field concentrates onclassic design strategies based on measurements, simulation, andoptimization of output power and phase noise, this text offers aunique approach that focuses on the complete understanding of thedesign process. The material demonstrates important design rulesstarting with the selection of best oscillator topology, choice oftransistors, and complete phase noise analysis that leads tooptimum performance of all relevant oscillator features. Alsoincluded are CMOS oscillators, which recently have become importantin cellular applications. For readers interested in specializedapplications and topics, a full chapter provides all the necessaryreferences. The contents of the text fall into two major categories: * Chapters 1 through 9 deal with a very detailed and expandedsingle resonator oscillator, including a thorough treatment of bothnonlinear analysis and phase noise * Chapters 10 and 11 use the knowledge obtained and apply it tomultiple coupled oscillators (synchronized oscillators) This text is partially based on research sponsored by the DefenseAdvanced Research Projects Agency (DARPA) and the United StatesArmy and conducted by Synergy Microwave Corporation. With thewealth of information provided for the analysis and practicaldesign of single and synchronized low-noise microwave oscillators,it is recommended reading for all RF microwave engineers. Inaddition, the text's comprehensive, step-by-step approach makes itan excellent graduate-level textbook.
