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How to know your numeric (scalar) value which indicates how well your filtering worked (by comparing your result to y_original)?

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How to know your numeric (scalar) value which indicates how well your filtering worked (by comparing your result to y_original)?

Accepted Answer

Wayne King
Wayne King on 6 Dec 2013
Edited: Wayne King on 6 Dec 2013
you can compute the squared error
norm(y-y_original,2)
or the variants thereof like mean squared error or root mean squared error if you have a random element.
If you have the Signal Processing Toolbox see the help for rms() where you would use the difference vector.
A smaller squared error means a better approximation.

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