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.