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Book The Noisy Oscillator

    Book Details:
  • Author : M. Gitterman
  • Publisher : World Scientific
  • Release : 2005
  • ISBN : 9812565124
  • Pages : 158 pages

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 The Design of Low Noise Oscillators

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 Phase Noise and Frequency Stability in Oscillators

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 Noisy Oscillator  The  Random Mass  Frequency  Damping  2nd Edition

Download or read book Noisy Oscillator The Random Mass Frequency Damping 2nd Edition written by Moshe Gitterman and published by World Scientific Publishing Company. This book was released on 2012-12-18 with total page 189 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 Noise in High Frequency Circuits and Oscillators

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 The Noisy Pendulum

    Book Details:
  • Author : M. Gitterman
  • Publisher : World Scientific
  • Release : 2008
  • ISBN : 9812833005
  • Pages : 133 pages

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 Noisy Oscillator  The  The First Hundred Years  From Einstein Until Now

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 Noise Analysis of Radio Frequency Circuits

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 The Designer s Guide to High Purity Oscillators

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 Discrete Oscillator Design

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 Phase Noise in Signal Sources

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 Phase Noise in Signal Sources

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 Oscillators and Oscillator Systems

Download or read book Oscillators and Oscillator Systems written by Jan R. Westra and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many electronic systems, such as telecommunication or measurement systems, oscillations play an essential role in the information processing. Each electronic system poses different requirements on these oscillations, depending on the type and performance level of that specific system. It is the designer's challenge to find the specifications for the desired oscillation and to implement an electronic circuit meeting these specifications. As the desired oscillations have to fulfill many requirements, the design process can become very complex. To find an optimal solution, the designer requires a design methodology that is preferably completely top-down oriented. To achieve such a methodology, it must be assured that each property of the system can be optimized independently of all other properties. Oscillators and Oscillator Systems: Classification, Analysis and Synthesis takes a systematic approach to the design of high-performance oscillators and oscillator systems. A fundamental classification of oscillators, based on their internal timing references, forms the basis of this approach. The classification enables the designer to make strategic design decisions at a high hierarchical level of the design process. Techniques, derived from the systematic approach, are supplied to the designer to enable him or her to bring the performance of the system as close as possible to the fundamental limits. Oscillators and Oscillator Systems: Classification, Analysis and Synthesis is an excellent reference for researchers and circuit designers, and may be used as a text for advanced courses on the topic.

Book Collective Dynamics in Complex Networks of Noisy Phase Oscillators

Download or read book Collective Dynamics in Complex Networks of Noisy Phase Oscillators written by Bernard Sonnenschein and published by Logos Verlag Berlin GmbH. This book was released on 2016-11-21 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work aims to contribute to our understanding of the effects of noise and non-uniform interactions in populations of oscillatory units. In particular, we explore the collective dynamics in various extensions of the Kuramoto model. We develop a theoretical framework to study such noisy systems and we show through many examples that indeed new insights can be gained with our method. The first step is to coarse-grain the complex networks. The oscillatory units are then characterized solely by their individual quantities, so that identical units can be grouped together. The second step consists of the ansatz that in all these groups the distributions of the oscillators' phases follow time-dependent Gaussians. We apply this analytical two-step method to oscillator networks with correlations between coupling strengths and natural frequencies, to populations with mixed positive and negative coupling strengths, and to noise-driven active rotators, which can perform excitable dynamics. We calculate the rich phase diagrams that delineate the emergent rhythms. Extensive numerical simulations are performed to show both the validity and the limitations of our theoretical results.

Book Noise Analysis of Radio Frequency Circuits

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 2013-04-17 with total page 192 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 Fundamentals of RF Circuit Design

Download or read book Fundamentals of RF Circuit Design written by Jeremy Everard and published by John Wiley & Sons. This book was released on 2001-02-08 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The art of RF circuit design made simple... Radio Frequency circuits are the fundamental building blocks in a vast array of consumer electronics and wireless communication devices. Jeremy Everard's unique combination of theory and practice provides insight into the principles of operation, together with invaluable guidance to developing robust and long-lasting circuit designs. Features include: * Simplified approach to RF circuit theory and device modelling using algebraic approximations to illustrate the important underlying principles. * A comprehensive design guide to low noise oscillators backed by a full theoretical treatment, based on the author's latest research, and including extensive design examples. * Key concepts of broad and narrow band small signal amplifiers, mixers, and high-efficiency broadband power amplifier design. * How to develop large signal circuit models with simulation and tuning in real time. * Charts of performance parameters for RF chip components. Advanced undergraduate and postgraduate students in RF and microwave circuit design will benefit from the practical and highly illustrative approach. Design and research engineers and industrial technical managers, will appreciate the basic and detailed theory, analysis, design and operation of RF and microwave circuits.

Book RF and Microwave Oscillator Design

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.