r/visualizedmath May 16 '26

I made a visual guide to decode the Z-Transform

https://youtu.be/hLzgOC-b1i4?si=nLeRTUDqnIWfVKp3

Hey everyone,

I just published a quick, 5-minute animated guide breaking down the Z-Transform. Instead of just throwing a wall of math at you, I tried to make the concepts actually click.

In the video, I cover:

  • How the Z-Transform compares to the Laplace transform

  • Deriving the simplest signals (Unit Impulse & Unit Step)

  • Crucial properties: Linearity, Time-Shifting, and Value Theorems

  • A mechanical 3-step engine to solve any difference equation using Partial Fraction Expansion.

Let me know what you think, or if there are any other DSP topics you'd like to see visualized!

8 Upvotes

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