Mean Filter is Linear or non_Linear filter?

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Mean Filter is Linear or non_Linear filter?

Accepted Answer

Walter Roberson
Walter Roberson on 25 May 2019
Mean filtering is always over a sliding window. For any one window-full, if you multiply all of the inputs by a non-zero constant, then the mean is multiplied by that constant, which is a linear effect. For any one window-full, if you add a constant to all of the inputs, then the mean has that constant added, which is a linear effect. So mean filtering would probably be said to be linear.

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