This book presents a rigorous and practically grounded treatment of jitter and spur minimization in fractional-N digital phase locked loops (DPLLs), addressing one of the most critical challenges in modern frequency synthesis. Bridging the gap between theoretical analysis and design practice, it introduces a unified framework for modeling quantization and nonlinear effects in time-to-digital converters and digital-to-time converters, enabling accurate prediction of phase noise, jitter, and spurious tones across integer-N and fractional-N operation. Unlike conventional approaches, the methods developed in this work explicitly account for the interaction between systematic nonlinearities and the statistical properties of steady-state quantization error signals, establishing clear validity limits for widely used linearized models. The book further provides comprehensive system-level design methodologies that achieve minimum jitter with minimal hardware overhead. Supported by companion MATLAB source codes for behavioral modeling and analysis, it offers readers a reproducible and extensible toolkit for exploring and optimizing advanced fractional-N DPLLs. Combining analytical rigor, practical relevance, and broad applicability, this book serves as both a reference and a hands-on guide for researchers and engineers in frequency synthesis and mixed-signal integrated circuit design.
