Noise Analysis of Radio Frequency Circuits

In high speed communications and signal processing applications, random electrical noise that emanates from devices has a direct impact on critical high level specifications, for instance, system bit error rate or signal to noise ratio. Hence, predicting noise in RF systems at the design stage is extremely important. Additionally, with the growing complexity of modern RF systems, a flat transistor-level noise analysis for the entire system is becoming increasingly difficult. Hence accurate modelling at the component level and behavioural level simulation techniques are also becoming increasingly important. This book concentrates on developing noise simulation techniques for RF circuits. It first concentrates on the noise analysis for oscillators instead of non-oscillatory circuits. As a first step, it develops a new quantitative description of the dynamics of stable nonlinear oscillators in presence of deterministic perturbations. Unlike previous such attempts, this description is not limited to two-dimensional system of equations and does not make any assumptions about the type of nonlinearity. By considering stochastic perturbations in a stochastic differential calculus setting, the text obtains a correct mathematical characterization of the noisy oscillator output. It presents efficient numerical techniques both in time domain and in frequency domain for computing the phase noise of oscillators. This approach also determines the relative contribution of the device noise sources to phase noise, which is very useful for oscillator design. This new way of characterizing the oscillator output has a far-reaching impact on the noise analysis methodology for nonautonomous circuits, which the book also investigates. It also uses the perturbation analysis results of oscillators to derive the phase noise of phase feedback systems such as phase-locked loops. It formulates the problem as a stochastic differential equation and is solved in presence of circuit white noise sources yielding the spectrum of the PLI output.

Table of Contents:
1. Introduction.- 2. Overview of Existing Techniques.- 3. Perturbation Analysis of Stable Oscillators.- 4. Noise Analysis of Stable Oscillators.- 5. Noise Analysis of Nonautonomous Circuits.- 6. Noise Analysis of Circuits with Multitone Inputs.- 7. Noise Analysis of Phase-Locked Loops.- 8. Conclusions and Future Directions.- Appendices.- Definitions and Solution Techniques of SDEs.- 1 Mathematical Preliminaries.- 2 Itô Integrals.- 3 Stochastic Differential Equations.

Review :
From the reviews: "This book addresses the problem of predicting the performance of RF systems … in the presence of noise and developing noise models at the component level, which can be used in a system-level noise-simulation technique. … novel numerical techniques based on stochastic differential equations and models for behavior simulation have been introduced into noise analysis. The book is full of rigorous and mathematically elegant noise analysis techniques. … The breakthrough contribution of this book aims at the challenges of RF noise analysis … ." (Patrick B. Wu, IEEE Circuits & Devices Magazine, Vol. 21 (6), November/December, 2005)