Chapter 17 · Ordinary Differential Equations
17.12
Fourier Transforms and Convolutions
Convolution blends two functions; the Laplace transform turns it into multiplication. With impulses and the Fourier transform, it explains how a system responds to any input.
About 17 minutes
You'll learn to
- →Compute convolutions
- →Use the convolution theorem to invert transforms
- →Find impulse responses with the Dirac delta
- →Explain what the Fourier transform does to derivatives