Week 1

Week of August 21

Outline
Course overview.
Complex numbers and arithmetic.
Definition of Signals.
  Sinusoids; complex exponential; unit step; impulse
Definition of systems, in both continuous- and discrete-time.
  Block diagrams.
  Simple signal manipulations: delay, amplification, time-reverse, addition.
  Linearity and time-invariance.

Videos
Introduction
Complex Numbers
Signals
Systems
Paul Mayer’s Videos on Complex Numbers
What they are
Add, Subtract, Multiply and Divide
The Magic of Euler’s Formula

Reading
Themes, Signals Represent Information, Structure of Communication Systems, The Fundamental Signal, Complex numbers, Elemental Signals, Signal Decomposition
Introduction to Systems, Simple Systems

Homework
Problem Set I
1.1, 2.1, 2.9, 2.10, 2.11 (pdf)
Due 9/1