The Analysis of Synchronized Oscillators by Use of Phase-locked-loops

The Analysis of Synchronized Oscillators by Use of Phase-locked-loops
Author: Leon W. Couch
Publisher:
Total Pages: 49
Release: 1969
Genre:
ISBN:

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The synchronization behavior for an electronic oscillator is examined by the use of a first-order phase-lock-loop (PLL) model for the oscillator. A Hilbert transform relationship is obtained which relates a known beat waveform (between the oscillator and a locking-signal) to the other possible beat waveforms (as described by Huntoon and Weiss and others). The equivalence between an oscillator and a PLL is established in terms of equivalent locking characteristics. Using this PLL model, beat waveforms are obtained for some specified locking signals. The locking phenomenon between two oscillators is also examined by the use of a PLL model for each oscillator. Finally, the locking characteristics for an oscillator which is frequencly-modulated by a feedback signal is studied, and it is shown that the lock-in width may be increased over that for the oscillator without feedback, or, alternately, the lock-in width may be reduced to zero. This is accomplished with relative ease by adjustment of the feedback parameters. All of the results of this report are verified experimentally as well as theoretically. (Author).

Phase-Locked Loops for Wireless Communications

Phase-Locked Loops for Wireless Communications
Author: Donald R. Stephens
Publisher: Springer Science & Business Media
Total Pages: 424
Release: 2007-05-08
Genre: Technology & Engineering
ISBN: 0306473143

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Phase-Locked Loops for Wireless Communications: Digitial, Analog and Optical Implementations, Second Edition presents a complete tutorial of phase-locked loops from analog implementations to digital and optical designs. The text establishes a thorough foundation of continuous-time analysis techniques and maintains a consistent notation as discrete-time and non-uniform sampling are presented. New to this edition is a complete treatment of charge pumps and the complementary sequential phase detector. Another important change is the increased use of MATLAB®, implemented to provide more familiar graphics and reader-derived phase-locked loop simulation. Frequency synthesizers and digital divider analysis/techniques have been added to this second edition. Perhaps most distinctive is the chapter on optical phase-locked loops that begins with sections discussing components such as lasers and photodetectors and finishing with homodyne and heterodyne loops. Starting with a historical overview, presenting analog, digital, and optical PLLs, discussing phase noise analysis, and including circuits/algorithms for data synchronization, this volume contains new techniques being used in this field. Highlights of the Second Edition: Development of phase-locked loops from analog to digital and optical, with consistent 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; Section on automatic frequency control to provide frequency-locking of the lasers instead of phase-locking; Presentation of charge pumps, counters, and delay-locked loops. The Second Edition includes the essential topics needed by wireless, optics, and the traditional phase-locked loop specialists to design circuits and software algorithms. All of the material has been updated throughout the book.

Equations of Phase-Locked Loops

Equations of Phase-Locked Loops
Author: Jacek Kudrewicz
Publisher: World Scientific
Total Pages: 238
Release: 2007
Genre: Mathematics
ISBN: 9812770917

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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 OCo 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 RAssler, Henon, Lorenz, May, Chua and others."

Phase-locked Loops & Their Application

Phase-locked Loops & Their Application
Author: William C. Lindsey
Publisher:
Total Pages: 444
Release: 1978
Genre: Technology & Engineering
ISBN: 9780471041757

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Monolithic Phase-Locked Loops and Clock Recovery Circuits

Monolithic Phase-Locked Loops and Clock Recovery Circuits
Author: Behzad Razavi
Publisher: John Wiley & Sons
Total Pages: 516
Release: 1996-04-18
Genre: Technology & Engineering
ISBN: 9780780311497

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Featuring an extensive 40 page tutorial introduction, this carefully compiled anthology of 65 of the most important papers on phase-locked loops and clock recovery circuits brings you comprehensive coverage of the field-all in one self-contained volume. You'll gain an understanding of the analysis, design, simulation, and implementation of phase-locked loops and clock recovery circuits in CMOS and bipolar technologies along with valuable insights into the issues and trade-offs associated with phase locked systems for high speed, low power, and low noise.

Coupled Phase-locked Loops: Stability, Synchronization, Chaos And Communication With Chaos

Coupled Phase-locked Loops: Stability, Synchronization, Chaos And Communication With Chaos
Author: Valery V Matrosov
Publisher: World Scientific
Total Pages: 255
Release: 2018-08-29
Genre: Science
ISBN: 9813271965

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Modern technological, biological, and socioeconomic systems are extremely complex. The study of such systems largely relies on the concepts of competition and cooperation (synchronization). The main approaches to the study of nonlinear dynamics of complex systems are now associated with models of collective dynamics of networks and ensembles, formed by interacting dynamical elements.Unfortunately, the applicability of analytical and qualitative methods of nonlinear dynamics to such complex systems is severely restricted due to the high dimension of phase space. Therefore, studying the simplest models of networks, which are ensembles with a small number of elements, becomes of particular interest. Such models allow to make use of the entire spectrum of analytical, qualitative, and numerical methods of nonlinear dynamics. This book is devoted to the investigation of a kind of such systems, namely small ensembles of coupled, phase-controlled oscillators. Both traditional issues, like synchronization, that are relevant for applications in radio-communications, radio-location, energy, etc., and nontraditional issues of excitation of chaotic oscillations and their possible application in advanced communication systems are addressed.

Phaselock Tecniques,second Edition

Phaselock Tecniques,second Edition
Author: Floyd M. Gardner
Publisher: Wiley-Interscience
Total Pages: 312
Release: 1979-05-10
Genre: Science
ISBN:

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This second edition of Phaselock Techniques is -- as was the first -- the standard reference on the subject. Greatly expanded and largely rewritten to reflect a better understanding of the subject, the book presents much new material, some published here for the first time. Explanation of fundamentals is improved and expanded, and description of applications is greatly increased. The first portion of the book is a well-organized review of the fundamentals of phaselock, as well as a discussion of the underlying problems faced by designers. Most of this mateiral has been rewritten from the first edition. The material that follows deals with practical aspects of component circuits and with rational procedures for deciding upon phaselock loop parameters. The remaining chapters provide engineering descriptions and analyses of applications of phaselock. Most of this material is unique.Included are discussions of phaselocked modulators and demodulators, sythesizers, receivers, transponders, oscillator stabilizers, and data synchronizers.

Analysis and Design of Phase Locked Loops with Insight Into Wavelet Analysis

Analysis and Design of Phase Locked Loops with Insight Into Wavelet Analysis
Author: Aakriti Barat
Publisher:
Total Pages: 64
Release: 2017
Genre:
ISBN:

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An injection locked oscillator is a presented using wavelet analysis to evaluate the role of PLLs in RF transceivers. The goal is to evaluate injection locking and achieve full control over frequency and phase of the output signal, and achieve 100% throughput of the transceiver. This is done by injecting a periodic signal in the oscillator. Specifically, when the frequency of the periodic signal and that of the oscillator are close to each other, the periodic signal can be used to synchronize the oscillator frequency. In this work, we pursue an understanding of the injection locked oscillator's performance using wavelet analysis. Using TopSpice an injection locked oscillator is designed. The oscillator's frequency stability time resolution in frequency are explored, followed by denoising. Also, circuit simulations are performed using TopSpice and MATLAB toolboxes. It is shown that low and high frequency component of ~ 500 Hz and ~2000 Hz are present. Also, the signal transitions from a low to high frequency component at t ~ 0.01 seconds, and this transition is confirmed using analysis based on the Morlet Wavelet transform. Wavelets are also used again to denoise the signal and verify that key frequencies in the signal are retained during the denoising process.

Phase-locked Loops

Phase-locked Loops
Author: William C. Lindsey
Publisher: Institute of Electrical & Electronics Engineers(IEEE)
Total Pages: 360
Release: 1986
Genre: Demodulation (Electronics)
ISBN:

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Good,No Highlights,No Markup,all pages are intact, Slight Shelfwear,may have the corners slightly dented, may have slight color changes/slightly damaged spine.

Analysis of the Synchronization of an Automatic Phase Control System

Analysis of the Synchronization of an Automatic Phase Control System
Author: Theodore Siegfried Baker
Publisher:
Total Pages: 190
Release: 1964
Genre:
ISBN:

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In this report approximation techniques are developed that predict the ranges of system parameters for which a phase-locked loop synchronizes to a sinusoidal input of constant frequency. These analytic methods are also presented as step-by-step procedures that might be useful for solving other problems of nonlinear oscillations. The differential equation is derived for the phase-locked loop with sinusoidal phase comparator. Synchronization is defined and examined for several phase-locked loops with different filters. Other factors which determine the performance of phase-locked loops are discussed. These include the pull-in time, the noise bandwidth, and the stability of synchronized loops. Finally, experimental model phase-locked loops are compared with the idealized loop. Typical values of components and measured values of performances are presented.