c concepts Models, modeling and analysis 2.1.1 Models: what you want or what you have 2.1.2 Good models 2.1.3 The importance of good models in top-down design 2.1.4 Modeling languages 2.1.5 Modeling and analysis: model creation, transformation and in- terpretation Good models for telecommunication frontends: Architectures and their behavioral properties CONTENTS 2.2.1 Frontend architectures and their building blocks 2.2.2 Properties of frontend building block behavior 2.3 Conclusions A framework for frequency-domain analysis of linear periodically time- varying systems The story behind the math 3.1.1 What's of interest: A designer's point of view 3.1.2 Using harmonic transfer matrices to characterize LPTV behav- 3.1.3 LPTV behavior and circuit small-signal analysis Prior art 3.2.1 Floquet theory 3.2.2 Lifting 3.2.3 Frequency-domain approaches 3.2.4 Contributions of this work Laplace-domain modeling of LPTV systems using Harmonic Transfer Matrices 3.3.1 LPTV systems: implications of linearity and periodicity 3.3.2 Linear periodically modulated signal models 3.3.3 Harmonic transfer matrices: capturing transfer of signal content between carrier waves 3.3.4 Structural properties of HTMs 3.3.5 On the co-dimensional nature of HTMs 3.3.6 Matrix-based descriptions for arbitrary LTV behavior LPTV system manipulation using HTMs 3.4.1 HTMs of elementary systems 3.4.2 HTMs of LPTV systems connected in parallel or in series 3.4.3 Feedback systems and HTM inversions 3.4.4 Relating HTMs to state-space representations LPTV system analysis using HTMs 3.5.1 Multi-tone analysis 3.5.2 Stability analysis 3.5.3 Noise analysis Conclusions and directions for further research Applications of LPTV system analysis using harmonic transfer matrices HTMs in a nutshell Phase-Locked Loop analysis 4.2.1 PLL architectures and PLL building blocks 4.2.2 Prior art 4.2.3 Signal phases and phase-modulated signal models 4.2.4 HTM-based PLL building block models 4.2.5 PLL closed-loop input-output HTM 4.2.6 Example 1: PLL with sampling PFD 4.2.7 Example 