Is there FWHM function in frequency domain

Hi all, i have a gaussian pulse in time domain, Can i find the fwhm in frequency domain of this pulse? In andvanced thanks

Answer 1

[Star Strider]

Try it —

a = 2;
p = @(t) exp(-(a*t).^2)

p = function_handle with value:
    @(t)exp(-(a*t).^2)

t = linspace(-5,5);

figure
plot(t, p(t))
grid

P = fft(p(t))/numel(t);
Ts = t(2)-t(1);
Fs = 1/Ts;
Fn = Fs/2;
Fv2 = linspace(-Fn, Fn, numel(P));

figure
plot(Fv2, fftshift(abs(P)))
grid
xlabel('Frequency')

figure
findpeaks(fftshift(abs(P)), Fv2, 'Annotate','extents')

[pks,locs,w,p] = findpeaks(fftshift(abs(P)), Fv2, 'MinPeakProminence',0.01)

pks = 0.0877

locs = 0.0500

w = 1.0726

p = 0.0877

So, yes, using findpeaks.

[Erkan]

Thank you so much for answer

[Star Strider]

As always, my pleasure!

[zahra]

Hello, dear Star Strider

This part of the code written by you is as follows:

Fn = Fs/2;

Fv2 = linspace(-Fn, Fn, number(P));

I don't understand why it is fs/2? Please explain to me the reason.

Thank you

[Star Strider]

The Nyquist frequency, ‘Fn’, (the highest frequency that can be uniquely resolved in a sampled signal) is one-half the sampling frequency, ‘Fs’.