Sep 6, 2015 · The definition of convolution is known as the integral of the product of two functions

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...

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 …

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

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...

Aug 2, 2023 · This expression differs from the common definition of convolution. I'm having trouble understanding why we utilize the conventional definition of convolution in cases like these.

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 ∗ …

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

Since the Fourier Transform of the product of two functions is the same as the convolution of their Fourier Transforms, and the Fourier Transform is an isometry on L2 L 2, all we need find is an L2 L 2 …

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 …