Theory of the non-linear analog phase locked loop. (Q1887354)

The material contained in this book is the result of theoretical and experimental research efforts that lasted for many years. It is divided into six parts, with fourteen chapters. The extensive and tedious mathematical calculations and the experimental results are presented in ten appendices included in Part VI. Part I gives a brief description of the different kinds of analog Phase-Locked Loop (PLL) and reveals the weak points of the conventional PLL theory. It also gives a description of the loop components (controlled oscillator, phase detector and low-pass filter) taking into account the saturation and the time delays that appear in the forward and the feedback paths of the loop. In Parts II to V different kinds of PLL (such as the first-order analog PLL, the second-order type-I PLL, the second-order type II PLL, and the third-order type-II PLL) are discussed. In these parts, the author analyzes and discusses the general behaviour, the main synchronization and the third harmonic synchronization of each type of the above four kinds of PLL; topics are: (1) the physical explanation of the PLL mechanism, (2) the stability of synchronisation, (3) the form and duration of transients, (4) the effect of time delays, and (5) the effect of saturation of the loop elements. The basic objective is to present a nonlinear analysis of the analog PLL, and the tool used in the mathematical analysis is the averaging method.