Equations of Phase-locked Loops


Book Description

Phase-Locked Loops (PLLs) are electronic systems that can be used as a synchronized oscillator, a driver or multiplier of frequency, a modulator or demodulator and as an amplifier of phase modulated signals. This book updates the methods used in the analysis of PLLs by drawing on the results obtained in the last 40 years. Many are published for the first time in book form. Nonlinear and deterministic mathematical models of continuous-time and discrete-time PLLs are considered and their basic properties are given in the form of theorems with rigorous proofs. The book exhibits very beautiful dynamics, and shows various physical phenomena observed in synchronized oscillators described by complete (not averaged) equations of PLLs. Specially selected mathematical tools are used ? the theory of differential equations on a torus, the phase-plane portraits on a cyclinder, a perturbation theory (Melnikov's theorem on heteroclinic trajectories), integral manifolds, iterations of one-dimensional maps of a circle and two-dimensional maps of a cylinder. Using these tools, the properties of PLLs, in particular the regions of synchronization are described. Emphasis is on bifurcations of various types of periodic and chaotic oscillations. Strange attractors in the dynamics of PLLs are considered, such as those discovered by R”ssler, Henon, Lorenz, May, Chua and others.




Pll Performance, Simulation and Design


Book Description

This book is intended for the reader who wishes to gain a solid understanding of Phase Locked Loop architectures and their applications. It provides a unique balance between both theoretical perspectives and practical design trade-offs. Engineers faced with real world design problems will find this book to be a valuable reference providing example implementations, the underlying equations that describe synthesizer behavior, and measured results that will improve confidence that the equations are a reliable predictor of system behavior. New material in the Fourth Edition includes partially integrated loop filter implementations, voltage controlled oscillators, and modulation using the PLL.




Synchronization in Digital Communication Systems


Book Description

This practical guide helps readers to learn how to develop and implement synchronization functions in digital communication systems.




Advanced Phase-lock Techniques


Book Description

A unified approach to phase-lock tecnology, spanning large to small signal-to-noise ratio applications




Enhanced Phase-Locked Loop Structures for Power and Energy Applications


Book Description

Filling the gap in the market dedicated to PLL structures for power systems Internationally recognized expert Dr. Masoud Karimi-Ghartemani brings over twenty years of experience working with PLL structures to Enhanced Phase-Locked Loop Structures for Power and Energy Applications, the only book on the market specifically dedicated to PLL architectures as they apply to power engineering. As technology has grown and spread to new devices, PLL has increased in significance for power systems and the devices that connect with the power grid. This book discusses the PLL structures that are directly applicable to power systems using simple language, making it easily digestible for a wide audience of engineers, technicians, and graduate students. Enhanced phase-locked loop (EPLL) has become the most widely utilized architecture over the past decade, and many books lack explanation of the structural differences between PLL and EPLL. This book discusses those differences and also provides detailed instructions on using EPLL for both single-phase applications and three-phase applications. The book’s major topics include: A basic look at PLL and its standard structure A full explanation of EPLL EPLL extensions and modifications Digital implementation of EPLL Extensions of EPLL to three-phase structures Dr. Karimi-Ghartemani provides basic analysis that helps readers understand each of the structures presented without requiring complicated mathematical proofs. His book is filled with illustrated examples and simulations that connect theory to the real world, making Enhanced Phase-Locked Loop Structures for Power and Energy Applications an ideal reference for anyone working with inverters, rectifiers, and related technologies.




Phase Lock Loops and Frequency Synthesis


Book Description

Phase lock loop frequency synthesis finds uses in a myriad of wireless applications - from local oscillators for receivers and transmitters to high performance RF test equipment. As the security and reliability of mobile communication transmissions have gained importance, PLL and frequency synthesisers have become increasingly topical subjects. Phase Lock Loops & Frequency Synthesis examines the various components that make up the phase lock loop design, including oscillators (crystal, voltage controlled), dividers and phase detectors. Interaction amongst the various components are also discussed. Real world problems such as power supply noise, shielding, grounding and isolation are given comprehensive coverage and solved examples with MATHCAD programs are presented throughout. * Presents a comprehesive study of phase lock loops and frequency synthesis in communication systems * Written by an internationally-recognised expert in the field * Details the problem of spurious signals in PLL frequency synthesizers, a topic neglected by available competing titles * Provides detailed theorectical background coupled with practical examples of state-of-the-art device design * MATHCAD programs and simulation software to accompany the design exercises and examples This combination of thorough theoretical treatment and guidance on practical applications will appeal to mobile communication circuit designers and advanced electrical engineering students.




Phase-Locked Loops


Book Description

Applications of phase-locked loops play an increasingly important role in modern electronic systems, and the last 25 years have seen new developments in the underlying theories as well. Phase-Locked Loops presents the latest information on the basic theory and applications of PLLs. Organized in a logical format, it first introduces the subject in a qualitative manner and discusses key applications. Next, it develops basic models for components of a PLL, and these are used to develop a basic PLL model. The text then discusses both linear and nonlinear methods that are used to analyze the basic PLL model. This book includes extensive coverage of the nonlinear behavior of phase-locked loops, an important area of this field and one where exciting new research is being performed. No other book available covers this critical area in such careful detail. Improvements brought about by the advent of the personal computer, especially in the use of numerical results, are integrated into the text. This book also focuses on PLL component technologies used in system implementation.




Phase-Locked Loops for Wireless Communications


Book Description

This book is intended for the graduate or advanced undergraduate engineer. The primary motivation for writing the text was to present a complete tutorial of phase-locked loops with a consistent notation. As such, it can serve as a textbook in formal classroom instruction, or as a self-study guide for the practicing engineer. A former colleague, Kevin Kreitzer, had suggested that I write a text, with an emphasis on digital phase-locked loops. As modem designers, we were continually receiving requests from other engineers asking for a definitive reference on digital phase-locked loops. There are several good papers in the literature, but there was not a good textbook for either classroom or self-paced study. From my own experience in designing low phase noise synthesizers, I also knew that third-order analog loop design was omitted from most texts. With those requirements, the material in the text seemed to flow naturally. Chapter 1 is the early history of phase-locked loops. I believe that historical knowledge can provide insight to the development and progress of a field, and phase-locked loops are no exception. As discussed in Chapter 1, consumer electronics (color television) prompted a rapid growth in phase-locked loop theory and applications, much like the wireless communications growth today. xiv Preface Although all-analog phase-locked loops are becoming rare, the continuous time nature of analog loops allows a good introduction to phase-locked loop theory.




Phase-locked Loop Circuit Design


Book Description

This volume introduces phase-locked loop applications and circuit design. Drawing theory and practice together, the book emphasizes electronics design tools and circuits, using specific design examples, addresses the practical details that lead to a working design. Wolaver assumes no specialized knowledge in the area covered, reviewing basics as necessary; makes heavy use of figures to support the understanding of phase-locked loop theory and circuit operation; extensively discusses frequency acquisition means, an intensely nonlinear phenomenon; treats injection locking, a practical and often confounding problem; and takes a unique approach to characterizing the phase-locked loop parameters.




Design of CMOS Phase-Locked Loops


Book Description

This modern, pedagogic textbook from leading author Behzad Razavi provides a comprehensive and rigorous introduction to CMOS PLL design, featuring intuitive presentation of theoretical concepts, extensive circuit simulations, over 200 worked examples, and 250 end-of-chapter problems. The perfect text for senior undergraduate and graduate students.