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
- 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.