FFT Examples in Python
FFT Examples in Python
This tutorial covers step by step, how to perform a Fast Fourier Transform with Python.
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Nice job here, I appreciate your hard work. In the Jupyter Notebook Cell 97 the FFT peak is scaled to be 100 units max. That would make the FFT output match the 'peak amplitude' of the input signal, the real output of a FFT is the RMS value of the input waveform, so you are a factor of sqrt(2) too high on the FFT output. I am really not complaining, and as I said I appreciate your hard work on this.
Hi,
in the first part of the tutorial: if I change the frequency from 3.0 [Hertz] to 3.25:
t = np.linspace(0, 2*np.pi, 1000, endpoint=True)
f = 3.250 # Frequency in Hz
A = 100.0 # Amplitude in Unit
s = A * np.sin(2*np.pi*f*t) # Signal
I get a maximum amplitude different than 100 in the fft regime:
Yhann = np.fft.fft(hann*s)
print("(2.0*np.abs(Yhann[:N])/N).max():", (2.0 * np.abs(Yhann[:N]) / N).max())
(2.0*np.abs(Yhann[:N])/N).max(): 87.83995835994367
This probably is due to leaking, isn't it?
Apart from adjusting the sampling frequency: how else could I correct that (I have heard of using the sinc() function but am unsure how this should be performed)?
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