Convolution and the Fourier Transform explained visually
Channel: Mark Newman
Date: 2022-03-09

Convolution and the Fourier Transform go hand in hand. The Fourier Transform uses convolution to convert a signal from the time domain into the frequency domain. In this video I demonstrate an intuitive way of understanding what convolution is, explain the convolution equation and demonstrate how it is used in the Fourier Transform.

0:00 - Introduction
0:17 - A visual example of convolution
0:52 - Ident
0:57 - Welcome
1:19 - The formal definition of convolution
2:24 - The signal being analyzed
2:36 - The test wave
3:00 - The independent variable
3:31 - Stage 1: Sliding the test wave over the signal
4:34 - Stage 2: Multiplying the signals by the test wave
4:51 - Stage 3: Integration (finding the area under the graph)
5:31 - Why convolution is used in the Fourier Transform
7:28 - Challenge

Other works used in this video:
2 Crowd Green Screen and Crowd Talking Sounds
by Creative Film
https://www.youtube.com/watch?v=g80VOOe3BPA