Matlab fourier transform normalization

1. How do you normalize Fourier Transform?
2. How do you normalize frequency in MATLAB?
3. How do you normalize a spectrogram in MATLAB?

How do you normalize Fourier Transform?

Normalise the fft by dividing it by the length of the original signal in the time domain. Zero values within the signal are considered to be part of the signal, so 'non-zero samples' is inappropriate. The length to use to normalise the signal is the length before adding zero-padding.

How do you normalize frequency in MATLAB?

For a system with a 1000 Hz sampling frequency, for example, 300 Hz is 300/500 = 0.6. To convert normalized frequency to angular frequency around the unit circle, multiply by π. To convert normalized frequency back to hertz, multiply by half the sample frequency.

How do you normalize a spectrogram in MATLAB?

There doesn't seem to be a direct way to normalize the output of the Spectrogram figure. However, you can workaround this by using [~,ps] = spectrogram(singal,[],[],[],Fs,'yaxis'); to extract out the power density values to MATLAB and then normalize the values manually depending on your use-case.