Cumulative RMS in Matlab
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Hi,
I'm trying to find the cumulative RMS of a vector. (The data happens to be model error - labelled devCoM for deviation of centre of mass. The calculation should get less accurate as time proceeds, so cumulative error is important.)
I can find the cumulative sum by taking
cumsum(devCoM)
...but this fluctuates about zero.
I can find the RMS of the entire dataset by taking
sqrt(sum(devCoM.^2)
...but this doesn't reveal the expected increase in error over time.
Is there some way I could combine these methods?
Thanks,
Frederick
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Accepted Answer
Jan
on 4 Mar 2021
Edited: Jan
on 4 Mar 2021
Start with a mathematical definition of what you want to achieve.
I guess you want this:
x = rand(1, 100); % Your data
% "Cumulative root mean square"
y = sqrt(cumsum(x.*x) ./ (1:numel(x)))
So the cumulative concerns the mean of the squared elements only, correct?
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