Mean Filter is Linear or non_Linear filter?

2019 5 24
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Walter Roberson
Walter Roberson 2019-5-25

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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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