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Jitter model does not behave as expected after FFT

Alright, pass two. I'm changing all of the notation from continuous time ($s(t)$, $\phi(t)$) to discrete time. After all, this is a sampled signal going into an FFT. If $\phi[n]$ is small in ...
robert bristow-johnson's user avatar
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Jitter model does not behave as expected after FFT

By adding small angle white noise to the phase term, the OP is correctly modeling "White Phase Noise" which would result in the flat spectrum shown. As a general note, phase noise is ...
Dan Boschen's user avatar
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1 vote

How does background noise affect the fft results for a pure tone

I ensured there is no leakage by choosing a suitable sampling rate and duration. Here you can see the results of my DFT of a pure tone: Here you can see the results of my DFT of a pure tone + noise: ...
Stefan's user avatar
  • 21
2 votes

How does background noise affect the fft results for a pure tone

It appears from a subsequent update that the OP may be making multiple experimental tests and tracking the mean of the magnitude of the DFT bin with noise added. This statistic is Ricean distributed, ...
Dan Boschen's user avatar
  • 51.4k

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