Convolution

Introduction¶

In mathematics, convolution is a mathematical operation on two functions \(f\) and \(g\) that produces a third function \(f*g\), as the integral of the product of the two functions after one is reflected about the y-axis and shifted.

Convolution as a sum of impulse response¶

Convolution as a correlation with "receptive field"¶

Receptive field is time-reversed impulse response.

Convolution as matrix multiplication¶

Convolution as a sequence of weighted sums¶