aided design tools. 4To this account, it is recommended to read the work of David Hestenes [Hest87] and Edwin Jaynes [Jayn03]. They provide splendid examples on how mathematics can be used to tell fascinating stories about the world we live in. David Hestenes is concerned with a clear and consistent algebra for capturing nature's geometry. His geometric algebra corresponds more closely to our intuitive notions on the matter than do the often artificial constructions of traditional vector and matrix algebra. Edwin Jaynes' account on probability shows it to be the only consistent framework for logic inference. His narrative approach is in great contrast to, for example, the abstract and axiomatic one of Kolmogorov [Kolm92]. 1.3 OUTLINE OF THIS BOOK perspective on their contents. All mathematics is introduced when needed. The outline of the subsequent chapters goes as follows: Chapter 2 (Basic concepts) outlines basic concepts on telecommunication sys- tems and methods for modeling and analyzing them. This chapter provides a conceptual framework that puts the methods developed in further chapters into the perspective of the art on modeling and analysis of telecommunication sys- tems. Chapter 3 (Linear periodically time-varying system analysis) elaborates meth- ods to deal with LPTV systems. It provides a brief overview of existing methods and presents a coherent framework of frequency-domain techniques based on the HTM formalism. Chapter 4 (Applied LPTV system analysis) demonstrates the power and ele- gance of the framework presented in chapter 3 through applications like PLLs and mixers. Furthermore, we develop an algorithm for automated symbolic analysis of LPTV systems. Chapter 5 (Modeling oscillator dynamic behavior) treats the behavior of per- turbed oscillators and its applications to circuit analysis. It is demonstrated how small disturbances cause slow-varying processes to occur on top of the rapid oscillations. Examples of such slow-varying processes are an oscillator's phase noise behavior or the settling 