Sep 6, 2015 · The definition of convolution is known as the integral of the product of two functions

Sep 12, 2024 · What is the convolution of a function f f with a delta function δ δ? Ask Question Asked 11 years, 2 months ago Modified 1 year, 4 months ago

Oct 25, 2022 · However, in the original convolution formula, the sign of t t is inversed (what does this sign inversing mean?). My final question is: what is the intuition behind convolution? what …

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 wondering if anyone …

Since the Fourier Transform of the product of two functions is the same as the convolution of their Fourier Transforms, and the Fourier Transform is an isometry on L2 L 2, all we need find is an …

Feb 23, 2021 · The convolution of functions has a natural and very important generalization to functions defined on any locally compact topological group (such as C C, Rn R n, the circle, …

A shift-invariant linear operator T T is completely determined by its impulse response T(δ) = f T (δ) = f (where δ δ is the Dirac delta function). You can show that for any function g g, T(g) = f ∗ g T …

Apr 16, 2016 · I want to calculate the convolution F ∗ G of two Gaussian functions without resorting to Fouritertransforms: F(t): = exp(− at2), G(t): = exp(− bt2) a, b> 0 But intuitively I …

Here is something I've sometimes wondered about. If f g f, g are both nonnegative proving commutativity of convolution can be done without a tedious change of variable. Indeed, let X X …

Dec 27, 2014 · Convolution corresponds via Fourier transform to pointwise multiplication. You can multiply a tempered distribution by a test function and get a tempered distribution, but in …