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.

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 …

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 me that convolution therefore …

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 ...

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 …

Apr 13, 2017 · In essence, convolution is the mathematical operation that inserts the effects of a "f" function in another "g" function. In the domain of time we have f (t) and g (t). When we are dealing …

Jan 20, 2017 · 0 As a response to your question, let me explain the equation, which is discrete convolution: \begin {equation} y [n]=x [n]\ast h [n] \quad = \sum_ {k=-\infty}^ {\infty}x [k]h [n-k] \end …

Dec 26, 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 …