Random Band-Limited White Noise Excitation

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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).

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Chunru
Chunru 2022-7-5
编辑:Chunru 2022-7-5
% 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);

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