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envelope rms implementation review

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Gideon Kogan
Gideon Kogan 2020-9-24
编辑： Chunru 2021-11-8
I am trying to implement the moving RMS by Matlab.
x = randn(50, 1);
xRMS = sqrt(movmean(x.^2, 21));
xRMSref = envelope(x, 21, 'rms');
plot(xRMSref,'DisplayName','xRMSref');hold on;plot(xRMS,'DisplayName','xRMS');hold off;
legend()
Why my estimation differs from Matlab's? What actually implemented by Matlab? The algorithm description is not delailed and movrms function is locked...
  1 个评论
Nim Pim
Nim Pim 2021-11-8
Hi. I too found that moving RMS function of dsp tool box not giving the correct values. I tried it on a small data set and the manually calculated values were different. So confusing....

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回答（1 个）

Chunru
Chunru 2021-11-8
编辑：Chunru 2021-11-8
Ran in:
"envelope" removes the mean first before doing movrms and it restore the mean offset in the end.
If you nake sure the signal is 0-mean, then the results would be quite same.
x = randn(50, 1);
x = x -mean(x);
xRMS = sqrt(movmean(x.^2, 21));
xRMSref = envelope(x, 21, 'rms');
plot(xRMSref,'DisplayName','xRMSref');
hold on;
plot(xRMS,'DisplayName','xRMS');hold off;
legend()

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