Random Band-Limited White Noise Excitation

Hi, i read a paper today. In matlab, how to generate a random excitation force consisted of a zero-mean signal with frequency content ranging from 0.2Hz to 1.2Hz. And after generate this random sequence ,how to scale the signal to RMS levels (i.e. RMS=165).

Answer 1

[Chunru]

% Band-limited noise can be generated by passing a white Gaussian noise
% through a band pass filter
fs = 5; 
ns = round(700*fs);   % 700 sec
x = bandpass(randn(ns, 1), [0.2 1.2], fs);

% normalise
x = x / rms(x) * 165;

subplot(211); plot((0:ns-1)/fs, x); xlim([600 660]);
subplot(212); pwelch(x, 1024, 512, 1024, fs);

[Yijing LU]

Thanks a lot! Your answer is very useful to me.