Butterworth amplitude

I generates a white noise of an amplitude of 100.  Then I go through a Butterworth bandpass filter with 50 and 150 for the high and low frequency bandpass settings.  I find myself with a noise filtered with an amplitude of 20 (more or less).

Why the filter reduces the amplitude of the filtered noise?  I noticed that if I increase the range of bandpass parameters (for example, 50 to 500), amplitude reduction is a little less.

I tried other filters and Chebychev seems to be a little better, but it does still not anywhere close to the amplitude of the original signal.

I admit that my knowledge of signal processing is limited.  Can someone help me with this problem?  Is there a setting that will give me the best results?

Thanks for your replies.

I was under the impression that white noise with an amplitude of 10 when it is passed through a filter would result in filtered amplitude noise 10.  But now I see why I was wrong.  White noise is the sum of the sine waves of different frequencies;  for example, when you filter on certain frequencies, amplitude (which is a sum) will be lower.

And thanks for the tips on the standardization of the amplitude after filtering.  That's what I'll do.

David

Tags: NI Software

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