Equations Of Phase-locked Loops: Dynamics On Circle, Torus And Cylinder

Author:   Jacek Kudrewicz (Warsaw Univ Of Tech, Poland) ,  Stefan Wasowicz (Technical Univ Of Czestochowa, Poland)
Publisher:   World Scientific Publishing Co Pte Ltd
Volume:   59
ISBN:  

9789812770905


Pages:   236
Publication Date:   29 August 2007
Format:   Hardback
Availability:   Out of stock   Availability explained
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Equations Of Phase-locked Loops: Dynamics On Circle, Torus And Cylinder


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Author:   Jacek Kudrewicz (Warsaw Univ Of Tech, Poland) ,  Stefan Wasowicz (Technical Univ Of Czestochowa, Poland)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   59
Dimensions:   Width: 16.10cm , Height: 2.10cm , Length: 22.90cm
Weight:   0.549kg
ISBN:  

9789812770905


ISBN 10:   9812770909
Pages:   236
Publication Date:   29 August 2007
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Introduction: What Is Phase-Locked Loop?; PLL and Differential or Recurrence Equations; Averaging Method; Organization of the Book; The First Order Continuous-Time Phase-Locked Loops: Equations of the System; The Averaged Equation; Solutions of the Basic Frequency; Differential Equation on the Torus; Fractional Synchronization; The System with Rectangular Waveform Signals; The Mapping f(p)=p+2 +a sin(p); The Second Order Continuous-Time Phase-Locked Loops: The System with a Low-Pass Filter; Phase-Plane Portrait of the Averaged System; Perturbation of the Phase Difference; Stable Integral Manifold; The PLL System Reducible to the First Order One; Homoclinic Structures; Boundaries of Attractive Domains; The Smale Horseshoe, Transient Chaos; Higher Order Systems Reducible to the Second Order Ones; One-Dimensional Discrete-Time Phase-Locked Loop: Recurrence Equations of the System; Periodic Output Signals; Rotation Interval and Frequency Locking Regions; Stable Orbits, Hold-In Regions; The Number of Stable Orbits; Bifurcations of Periodic Orbits; Bifurcation of the Rotation Interval; Two-Dimensional Discrete-Time Phase-Locked Loop: Description of the DPLL System by a Two-Dimensional Map; Stable Periodic Orbits; Reduction to a One-Dimensional System: Strange Attractors and Chaotic Steady-States.

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