**Sinusoidal Signals**

- Complex exponentials and their relationship to sinusoids.
- Sinusoids scaled by an exponential, growing, decreasing and constant.
- The difference between discrete frequency and continuous frequency
- Computing the fundamental period of a sinusoid.

**Introduction to MATLAB**

- specifying vectors
- complex numbers
- vector operations: transpose, negate, conjugate
- plotting, plotting signal groups
- labeling plots

System Properties

- System linearity (Additivity & Homogeniety)
- System time (shift) invariance

- Memoryless Systems
- Causality
- Stability (in the BIBO sense)
- Passive and Lossless
- Invertibility

Know how to proove a discrete system is either linear or non-linear.

Know how to proove a discrete system is either time invariant or time varying.

Know how to proove a discrete system is BIBO stable, causal or acausal.

Digital Filtering and Convolution Definition

- Convolution sum

Definitions :

- Impulse response, FIR digital filter, IIR digital filter.

Recognize an IIR filter from a schematic diagram.

Properties of convolution:

- Associativity
- Distributivity
- Commutativity

Collections of LTI systems:

- Know the effect of cascaded LTI systems.
- Know the effect of parallelized LTI systems.