Dynamical System Design of Analog Integrated Circuits

Course Material Overview

The course will navigate through the course topics similar to a typical dynamical systems class, but with a focus on understanding physical phenomena leading towards intuition to aid to design with nonlinear design techniques. Often engineering courses discuss nonlinearities from this point on would be one of how best to suppress these effects; this course will seek to embrace the nonlinear effects where possible.

We have a detailed lecture schedule that we try to follow, and adapt where needed.

Class will be six projects (all equally weighted) and one final project (won't get to all chapters)

• Chapter 1: Impact of IC dynamics through Programmable and Configurable Analog Computation

• Chapter 2: First-Order ODE circuits *

• Chapter 3: Non-Homogeneous ODE circuits *

• Chapter 4: Linear second order and higher order ODE circuits

• Chapter 5: Nonlinear effects in second order circuits *

• Chapter 6: Multi-time scale analysis / oscillators *

• Chapter 7: Bifurcation analysis *

• Chapter 8: Dynamics of Linear PDEs

• Chapter 9: Dynamics of nonlinear PDEs

• Chapter 10: case studies

• Appendix A: FPAA technology Overview