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 $$ (f*g) (t)\int_ {-\infty}^ {\infty} f (t -\tau)g (\tau)\,\mathrm d\tau$$ But what does the product of the …

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 …

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 fundamental operations addition, …

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 is a function, …

Aug 23, 2020 · The convolution of two $3\times3$ kernels is a $5\times5$ kernel. You sweep the center of one over the other.

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 …

Closed 9 years ago. Why do we define the convolution? Why is convolution useful? What is the purpose of the geometry of convolution of two functions in plane? Can we draw the convolution of two …