I similarly struggled to get intuition on the convolution operation, until the following simple idea clicked. Think of convolution as similar to elementary sch

I similarly struggled to get intuition on the convolution operation, until the following simple idea clicked. Think of convolution as similar to elementary school long multiplication, but without carries. (Also, if you are working with vectors of of some length N, the multiplication "wraps" modular-arithmetic style around the end of the vector back to the beginning.)