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I am trying to minimise the noise in a spectrum of a variable. I have divided the time history in equal parts, I have multiplied every part of the time history by a Tukey window, done a FFT of each one of this window. After this procedure I have an adequate signal, I have a question: Should I compensate the energy lost with the Tukey window? and how?

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  • $\begingroup$ Did you overlap the frames of windowed signal? See here: dsp.stackexchange.com/questions/13436/… $\endgroup$
    – ZR Han
    Apr 29, 2021 at 8:21
  • $\begingroup$ @ZRHan Yes. I overlap $\endgroup$ Apr 29, 2021 at 8:27
  • $\begingroup$ If your window and noverlap satisfy COLA, the synthesized signal doesn’t lose any energy due to windowing. $\endgroup$
    – ZR Han
    Apr 29, 2021 at 8:37
  • $\begingroup$ How is it possible? It is always a mean of FT made on a "weakened" (due to the Tukey window) signal. $\endgroup$ Apr 29, 2021 at 9:05
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    $\begingroup$ I selected intervals of time history that overla, I did the fft of each one, and then the mean. what should I add? $\endgroup$ Apr 29, 2021 at 12:17

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