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Re: Why is my Butterworth filter so noisy?


From: Matthias Brennwald
Subject: Re: Why is my Butterworth filter so noisy?
Date: Wed, 24 Sep 2008 06:37:50 +0200


On 23.09.2008, at 21:05, Julius Smith wrote:

The "noise" in the original post is due to missing frequencies in the
input signal, resulting in spurious numerical failures in the spectral
ratio Y./X.  If you replace the line

x = 2*randn(1,N)-1; % fake time series (original data)

by

x = [1,zeros(1,N-1)]; % impulse

then the response looks fine.  To use noise as an input, it is
necessary to do a lot more averaging over time (see the topic of
system identification, for example).

- jos

Thanks for this! That explains a lot...

Matthias


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