I could understand Savitzky-Golay filter as being smoothing filter, but then there also seems to be Savitzky-Golay differentiation filter, though for some reason, details do not seem to be clear.
So is Savitzky-Golay differentiation just about inferring first-order derivative from a local polynomial used for each data point? (This local polynomial least square method is another way of thinking about Savitzky-Golay, so by local polynomial I mean exactly that.)
If so, would frequency response of such a differentiation filter be simply multiplying $i\omega$ to frequency response of an original Savitzky-Golay filter?
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