how to set RBW while using medfreq ?

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LO 2019-5-7

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编辑： LO 2019-5-7

Is there a mathematical/precise way to calculate an optimal rbw (resolution bandwidth) while using the command medfreq to calculate the frequency of a signal (sinewave in my case) in matlab?

the tutorial of the function just indicates:

"Resolution bandwidth, specified as a positive scalar. The resolution bandwidth is the product of two values: the frequency resolution of the discrete Fourier transform and the equivalent noise bandwidth of the window used to compute the PSD."

so the first one is Fs / Nfft (with Fs = sampling freq and Nfft the number of data points per each analysis window of the fft).

I am having some doubts about the other parameter, i.e. the noise bandwidth

is this formula correct ?

example (hanning window, 1024 samples)

Fs = 20000 Hz

Nfft = 2^10 = 1024

bw = enbw(hanning(Nfft)) = 1.4985

RBW = (Fs/Nfft)/bw

If I use this formula I estimate an RBW of 13 Hz ca. MATLAB gives me an error saying that the minimum valule expected as RBW is 19.something Hz.. Any idea of why ?