Hey everyone,
I am stuck in the following scenario. I have a smoothed signal and the raw signal was derived from. Also, I know the length of the applied window but not its structure.
What I want is the window function in the time-domain and I want to analyze the function in the frequency domain (for spectral leakage).
My thought process was the following:
- y(t) = (x*h)(t) : The smoothed signal is a convolution of the raw signal and the window function
- Y(s) = X(s)H(s): Applying DFT
- DFT^-1(Y(s)/X(s)) = h(t): Rearranging and Inverse-DFT
However, I don't know how to incorporate the length of h(t). Thus, calculation in Mathematica yields a window function with the same length as the other two signals.
Is it even possible to recreate the signal the way I intend to?
Cheers, Oliver