Foreword. Contributing Authors. Contents. Symbols and Abbreviations. 1
Introduction. 1.1 Structured analysis, a key to successful design.
1.1.1 Electronics, a competitive market. 1.1.2 Analog design: A
potential bottleneck. 1.1.3 Structured analog design. 1.1.4 Structured
analysis. 1.2 This work. 1.2.1 Main contributions. 1.2.2 Math, it's a
language. 1.3 Outline of this book. 2 Modeling and analysis of telecom
frontends: basic concepts. 2.1 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
interpretation. 2.2 Good models for telecommunication frontends:
Architectures and their behavioral properties. 2.2.1 Frontend
architectures and their building blocks. 2.2.2 Properties of frontend
building block behavior. 2.3 Conclusions. 3 A framework for
frequency-domain analysis of linear periodically timevarying Systems.
3.1 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 behavior. 3.1.3 LPTV behavior and circuit small-signal analysis.
3.2 Prior art. 3.2.1 Floquet theory. 3.2.2 Lifting. 3.2.3
Frequency-domain approaches. 3.2.4 Contributions of this work. 3.3
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 -dimensional
nature of HTMs. 3.3.6 Matrix-based descriptions for arbitrary LTV
behavior. 3.4 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. 3.5 LPTV system analysis using
HTMs. 3.5.1 Multi-tone analysis. 3.5.2 Stability analysis. 3.5.3 Noise
analysis. 3.6 Conclusions and directions for further research. 4
Applications of LPTV system analysis using harmonic transfer matrices.
4.1 HTMs in a nutshell. 4.2 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 2: PLL with mixing PFD. 4.2.8
Conclusions. 4.3 Automated symbolic LPTV system analysis. 4.3.1 Prior
art. 4.3.2 Symbolic LPTV system analysis: outlining the flow. 4.3.3
Input model construction. 4.3.4 Data structures. 4.3.5 Computational
flow of the SymbolicHTM algorithm. 4.3.6 SymbolicHTM: advantages and
limitations. 4.3.7 Application 1: linear downconversion mixer. 4.3.8
Application 2: Receiver stage with feedback across the mixing element.
4.4 Conclusions and directions for further research. 5 Modeling
oscillator dynamic behavior. 5.1 The story behind the math. 5.1.1
Earth: a big oscillator. 5.1.2 Unperturbed system behavior: neglecting
small forces. 5.1.3 Perturbed system behavior: changes in the earth's
orbit. 5.1.4 Averaging: focusing on what's important. 5.1.5 How does
electronic oscillator dynamics fit in?. 5.1.6 Modeling oscillator
behavior. 5.2 Prior art. 5.2.1 General theory. 5.2.2 Phase noise
analysis. 5.2.3 Numerical simulation. 5.2.4 Contributions of this work.
5.3 Oscillator circuit equations. 5.3.1 Normalizing the oscillator
circuit equations. 5.3.2 Partitioning the normalized circuit equations.
5.4 Characterizing the oscillator's unperturbed core. 5.5 Oscillator
perturbation analysis. 5.5.1 Components of an oscillator's perturbed
behavior. 5.5.2 Motion xs _ t_ p_ t_ _over the manifold M . 5.5.3
In summary. 5.6
