Sep 6, 2015 · The definition of convolution is known as the integral of the product of two functions $$(f*g)(t)\int_{-\infty}^{\infty} f(t -\tau)g(\tau)\,\mathrm d\tau$$ But what does the product of the …

Based on your connection, it seems to me that convolution therefore defines a different "natural multiplication" between functions if we consider functions $\mathbb{R} \to \mathbb{R}$ as …

Oct 25, 2022 · Convolution is a way of collecting like terms in a discrete or continuous sum. For example, \begin{align} ...

Oct 26, 2010 · I am currently learning about the concept of convolution between two functions in my university course. The course notes are vague about what convolution is, so I was …

Jul 4, 2015 · The convolution has a nice property, when Fourier transformed: $$ \mathcal{F}(f*g) = c \, \mathcal{F}(f) \mathcal{F}(g) $$ for some constant specific to the definition of the Fourier …

Apr 16, 2016 · You should end up with a new gaussian : take the Fourier tranform of the convolution to get the product of two new gaussians (as the Fourier transform of a gaussian is …

Jun 1, 2016 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …

Apr 6, 2013 · You ask specifically about convolutions, but the answer is the same. You are either taking the convolution of two functions on the whole real line (in which case you should use …

Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their …

Intuition for Convolution. A convolution is the amount of an overlap area of one function f as it is shifted over another function g at a given time offset. Example using discrete valued functions. …