fourier transform

  1. N

    Time-continuous signal Fourier transform or series

    Hello, i have a short understanding question on the subject of Fourier Transformation. My task is and here I would like to quote: "A periodic signal is given, calculate the continuous time Fourier transform". On the sketch at the task a rectangle is shown, which has its symmetry axis on the y...
  2. A

    Calculation of Fourier Transform Derivative d/dw (F{x(t)})=d/dw(X(w))

    Hello to my Math Fellows, Problem: I am looking for a way to calculate w-derivative of Fourier transform, d/dw (F{x(t)}), in terms of regular Fourier transform, X(w)=F{x(t)}. Definition Based Solution (not good enough): from I can find that w-derivative of Fourier transform for x(t) is...
  3. C

    Harmonic Calculation from Data Points

    I should start by saying I haven't taken a calculus class in about fifteen years so anything you can phrase in layman's terms would be helpful. I have watched and read quite a bit on this subject online, but it seems every time they get to the calculations there is some assumed knowledge of...
  4. J

    Fourier transform matrices

    1. The problem statement, all variables and given/known data (i) Verify that 5 is a primitive 4th root of unity in F_13. (ii) Let F be the 4x4 matrix whose (i, j)th entry is 5ij in F_13 for i, j = 0,1,2, 3. Compute F(hat) and verify that F(hat)F= I. 2. Relevant equations The matrix...