Margaris N.I. Theory of the Non-Linear Analog Phase Locked Loop

Springer, 2004. — 287 p.This book develops for the first time a complete and connected nonlinear theory for the analog Phase-Locked Loop (PLL) which clarifies the obscure points of its complex non-linear behaviour. The book suggests new non-linear models for the PLL components and applies the averaging method to analyse PLL. The book presents the physical interpretation of the PLL operation, locates the difficulties presented by its operation and suggests solutions to overcome these problems. Finally it provides closed form expressions for all the important measures of the PLL and proposes new design criteria.Preliminaries.PLL components.
First order PLL.
Introduction to first order PLL.
Main synchronization.
Third harmonic synchronization.
Second order type-I PLL.
Introduction to second order type-I PLL.
Third harmonic synchronization.
Main synchronization.
Second order type-II PLL.
Introduction to second order type-II PLL.
Main synchronization.
Third harmonic synchronization.
Third order type-II PLL.
Introduction to third order type-II PLL.
Main synchronization.
Third harmonic synchronization.
Appendices.
First order PLL. Averaged equations.
First order PLL. Equilibrium points of the main synchronization range.
Second order type-I PLL. Averaged equations.
Second order type-I PLL. State equation of the low-pass filter for the capture range calculation.
Second order type-I PLL. Effect of initial condition on capture range.
Second order type-II PLL. Averaged equations.
Third order type-II PLL. Averaged equations.
Resonant voltage controlled oscillator.
Vector phase detector.
Experimental verification.