Motivating reasons for DSP systems.

Overview of a DSP system.

- Be able to draw a block diagram of a DSP system which takes an analog signal input and generates an analog signal output.

Discrete signals / systems.

- Be able to show how discrete systems are distinct from continuous systems and knowledge of how to generate a discrete signal given a continuous signal.

Know what the sampling process is and how it is defined.

Know how discrete frequencies are different from continuous frequencies.

Elementary DSP functions:

- delta function continuous / discrete
- unit step functions continuous / discrete
- exponential function
- integral and differential relations of delta and unit step functions in the discrete and analog domain

Functions of a complex variable:

- Review of Complex numbers, and exponential / phasor notation.
- Euler's formula

Signal Property Definitions:

- L-p norm
- Energy
- Power
- Average Power
- Bounded / Unbounded
- Periodic / Aperiodic
- Absolutely Summable
- Square Summable

**Signal Symmetry Properties**

- Even signals
- Odd signals
- Conjugate Symmetric
- Conjugate Antisymmetric signals

Elementary signal operations:

- Amplification (scaling), addition, multiplication.
- Know their schematic representation and how to read schematic diagrams of LTI (Linear Time-Invariant) systems.
- Signal decomposition, writing a signal as a sum of weighted and shifted delta functions. The Dirac comb.