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.
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