Sep 6, 2015 · 3 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 …

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 wondering if …

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

Jan 7, 2026 · The convolution of a function with itself equals itself Ask Question Asked 13 years, 5 months ago Modified 1 month ago

Oct 25, 2022 · My final question is: what is the intuition behind convolution? what is its relation with the inner product? I would appreciate it if you include the examples I gave above and correct me if I am …

From the convolution theorem we can show that the convolution of two functions over x becomes the product in Fourier space.

I think this is an intriguing answer. I agree that the algebraic rule for computing the coefficients of the product of two power series and convolution are very similar. Based on your connection, it seems to …

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 ...

Convolution is something like a weighted average operation: for each point you calculate a weighted (the weight being given by the other function) average of values of some function at (possibly infinite) …

Nov 27, 2024 · Convolution appears in many mathematical contexts, such as signal processing, probability, and harmonic analysis. Each context seems to involve slightly different formulas and …