The Basics
  • Unit: simple. These are building blocks for describing more complicated waveforms.
  • The point of interest is n=0 by default, but can be shifted. I.e. at n=0, the unit ramp function changes slope.
  • See Discrete-Time
Unit Impulse
  • The (discrete time) unit impulse is 1 where the inner term is 0, and 0 everywhere else.
    Pasted image 20221229122029.png
  • The Sifting Property of the Unit Impulse: Because the impulse function is 1 in only 1 spot, we can chain unit impulse functions like so using the literal values of the output to create the equivalent DT signal.
    • Pasted image 20221229123047.png

...todo, add Unit Step, Unit Ramp

Meaning is not what you start with but what you end up with.
— Peter Elbow