Convolution 的意義

Convolution 的意義

The convolution of f and g is written f∗g, using an asterisk or star. It is defined as the integral of the product of the two functions after one is reversed and shifted. As such, it is a particular kind of integral transform:

${\displaystyle {\begin{aligned}(f*g)(t)&\,{\stackrel {\mathrm {def} }{=}}\ \int _{-\infty }^{\infty }f(\tau )g(t-\tau )\,d\tau \\&=\int _{-\infty }^{\infty }f(t-\tau )g(\tau )\,d\tau .\end{aligned}}}$

隨著不同的 t 值, 對f和g函數相乘的積分(求重疊時的面積)...

• https://en.wikipedia.org/wiki/Convolution