lowpass filter not filtering

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Jay
Jay 2019-5-27
评论： Jay 2019-5-27
Test of low pass filter to filter noise at a much higher frequency than the main signal. Lowpass as I've used it here doesn't seem to filter the data.
t=0:3.13e-8:1e-3;
y=sin(2*pi*200000*t); %noise
y2=sin(2*pi*20000*t); %signal
ysum=y+y2;
plot(t,ysum);
y40khz=lowpass(ysum,40000,1/3.13e-8);
plot(t,y40khz)
A test of this with a smaller ratio of filter to sample frequency works as expected.
tslow=0:1e-5:1e-3;
y=sin(2*pi*20000*tslow);
y2=sin(2*pi*4000*tslow);
ysum=y+y2;
y5khz=lowpass(ysum,5000,1/1e-5);
plot(tslow,ysum)
hold
plot(tslow,y5khz)
Why does the first filter not seem to work while the second example does?

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Jan
Jan 2019-5-27
As expected Matlab does filter the data, of course:
t=0:3.13e-8:1e-3;
y=sin(2*pi*200000*t); %noise
y2=sin(2*pi*20000*t); %signal
ysum=y+y2;
y40khz=lowpass(ysum,40000,1/3.13e-8);
plot(t, y40khz - ysum) % Show the difference
ylim([-1.5e-3, 1.5e-3])
According to the chosen filter parameters, the difference is small.
  1 个评论
Jay
Jay 2019-5-27
Ok, thank you. Maybe I should have asked what operations should I do to extract the signal from the noisy data in this example? I was thinking that what I had tried would pass frequencies less than 40 kHz and so remove the 200 kHz 'noise'.

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