2025年11月24日 · What is the Fourier transform? What does it do? Why is it useful (in math, in engineering, physics, etc)? This question is based on Kevin Lin's question, which didn't quite …

2013年6月27日 · Fourier transform commutes with linear operators. Derivation is a linear operator. Game over.

While understanding difference between wavelets and Fourier transform I came across this point in Wikipedia. The main difference is that wavelets are localized in both time and frequency …

While saz has already answered the question, I just wanted to add that this can be seen as one of the simplest examples of the Uncertainty Principle found in quantum mechanics, and …

2017年5月6日 · Does that mean that the function is valued 2π−−√ 2 π at all points in the frequency domain? I think this is reasonable because such function i.e. f(t) = 1 f (t) = 1 in the …

The theory of Fourier transforms has gotten around this in some way that means that integral using normal definitions of integrals must not be the true definition of a Fourier transform.

2015年1月23日 · The Fourier series of a non-periodic function is really the Fourier series of its periodic extension. For example, there is a Fourier series of f(x) = x f (x) = x on [0, π] [0, π], …

In our mathematics classes ,while teaching the Fourier series and transform topic,the professor says that when the signal is periodic ,we should use Fourier series and Fourier transform for …

18 The Fourier Transform is a very useful and ingenious thing. But how was it initiated? How did Joseph Fourier composed the Fourier Transform formula and the idea of a transformation …

The definition of Fourier transform is that famous formula and will not necessarily produce real coefficients for a real function. But we should know that if the Fourier transform exists for a real …