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 …

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 …

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 …

Jul 4, 2015 · It the operation convolution (I think) in analysis (perhaps, in other branch of mathematics as well) is like one of the most useful operation (perhaps after the four …

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 ...

Sep 12, 2024 · Explore related questions convolution dirac-delta See similar questions with these tags.

Lowercase t-like symbol is a greek letter "tau". Here it represents an integration (dummy) variable, which "runs" from lower integration limit, "0", to upper integration limit, "t". So, the convolution …

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 · 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 …

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 …