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 …

2015年9月6日 · 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 …

2022年10月25日 · 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? …

2023年8月2日 · 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 ...

2015年7月4日 · 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 …

2024年9月12日 · 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 …

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 …

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 $L^2$, all we need find is …

2014年12月27日 · 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 …