Consider a continuous signal oversampled at, say $2 \;kHz$, and then system digital low pass filtered to a $100\;Hz$ frequency which is the control loop frequency. It is known that there is some bias in the signal since it is an accelerometer output.

1. If we use a discrete derivative with a discrete integral in series, will this remove (atleast some of) the DC bias in the signal?
2. Correspondingly it seems a better idea to use a high pass filter rather than a low pass filter although this will invite noise. Is a notch filter how people deal with accelerometer signals and should one go with a high pass approach in case of the unavailability of a notch filter (since the signal necessarily contains bias)?
3. Does the same logic hold if one designs the filter in the continuous domain?