Convolutions

This lesson will introduce convolutions in JAX.

We'll cover the following...

For two functions, f and g, convolution (represented by *) is a mathematical operation expressing how the shape of f is modified by g.

(fg)(t):=f(τ)g(tτ)dτ(f * g)(t) := \int_{-\infty}^\infty f(\tau) g(t - \tau) \, d\tau

Example

As an example, we have ...

f(x) and g(x) represent the sine and cosine waves respectively