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# How can I generate band-limited Gaussian white noise??

Asked by Kim Dogyun on 19 Jul 2013

Hi~ I want to generate band-limited Gaussian white noise that signal ranging from 0 to 3 with a frequency of 0-6Hz. Please help me...

## Products

Answer by Wayne King on 19 Jul 2013
Edited by Wayne King on 19 Jul 2013

You cannot generate band-limited "white" Gaussian noise. "White" noise means that the power spectral density is flat, which contradicts the notion of a passband.

You can generate band-limited Gaussian noise. I'm not sure what you mean by "...signal ranging from 0 to 3 with a frequency of 0-6Hz", so I'll assume that you want a passband of 0 to 6 Hz. You did not tell us your sampling frequency, I'll assume 100 Hz.

```      Fs = 100;
d = fdesign.lowpass('Fp,Fst,Ap,Ast',6,10,0.5,40,Fs);
B = design(d);
% create white Gaussian noise the length of your signal
x = randn(1000,1);
% create the band-limited Gaussian noise
y = filter(B,x);```

The output, y, is a band-limited Gaussian noise with a passband of 0 to 6 Hz.

## 1 Comment

Kim Dogyun on 21 Jul 2013