User contributions for David

A user with 5,350 edits. Account created on 14 July 2019.
Search for contributionsExpandCollapse
⧼contribs-top⧽
⧼contribs-date⧽
(newest | oldest) View ( | ) (20 | 50 | 100 | 250 | 500)

20 January 2023

  • 18:5618:56, 20 January 2023 diff hist +1,827 N Fourier transformCreated page with "The Fourier transform decomposes a signal (i.e. a time series) into multiple sine and cosine waves. ==Background== Suppose we have signal<math>f(x)</math>.<br> Then the Fourier transform <math>\hat{f}(\xi)</math>is defined as: <math display="block">\hat{f}(\xi) = \int_{-\infty}^{\infty} f(x) e^{-i2 \pi \xi x} dx</math> Recall that Euler's formula states: <math>e^{ix} = cos(x) + i \sin(x)</math>. Hence, <math>e^{-i2 \pi \xi x} = cos(2 \pi \xi x) + i \sin(2 \pi \xi x)<..."

17 January 2023

16 January 2023

15 January 2023

10 January 2023

9 January 2023

3 January 2023

29 December 2022

28 December 2022

25 December 2022

23 December 2022

21 December 2022

19 December 2022

18 December 2022

(newest | oldest) View ( | ) (20 | 50 | 100 | 250 | 500)