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 could giv...

Sep 6, 2015 · 3 The definition of convolution is known as the integral of the product of two functions (f ∗ g)(t)∫∞ − ∞f(t − τ)g(τ)dτ But what does the product of the functions give? Why are is it being …

Aug 2, 2023 · I am currently studying calculus, but I am stuck with the definition of convolution in terms of constructing the mean of a function. Suppose we have two functions, $f ...

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 is its …

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

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 (g) = f ∗ …

I'm having a hard time understanding how the convolution integral works (for Laplace transforms of two functions multiplied together) and was hoping someone could clear the topic up or link to sour...

Are there real world examples when it is better to use laplace instead of fourier to compute a convolution? And vice versa. Fourier can use negative numbers (as in 'integrates from minus infinity to

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 be a random …

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 general you …