A linear filter with a kernel that has zero mean could be thought of as a "DC-rejecting" filter. Is there a better or more commonly used adjective for such a filter?
$\begingroup$ Highpass, bandpass? $\endgroup$– a concerned citizenFeb 22, 2021 at 20:22
$\begingroup$ @aconcernedcitizen one word that includes both of those $\endgroup$– MusefulFeb 24, 2021 at 2:15
"Zero-Mean" is the word that's commonly used to describe signals and signals with a zero average. "This is a zero-mean filter."
If you really mean a filter that is specifically meant to cancel the DC component, a "DC blocker" is a name for that.
In complement to Marcus, I have read the term "zero-sum": "zero-sum window", "zero-sum filter", "zero-sum kernel", the latter being more frequent. It is similar to "unit-sum windows", ie windows whose amplitudes sum to one. "Zero-average" can be found in image processing:
Further note that applying any alternative zero-average filter (in Fragmentation in the Vision of Scenes).
I however have met the term more on the opposite side: "non zero-sum" to characterize a window choose coefficients don't add to zero, which could be turned into a unit-sum window.
In audio applications, this would be a low-cut filter. The term is often used synonymous with high pass, though that would not accurately describe general zero-mean filters.
A unit-mean filter meanwhile is indeed a lowpass filter.