How to design a filter that can filter out noise accurately, after setting the parameters of the filter using standard signal? I meet a problem with designing a filter. I have two different instruments that could measure the same AC signal (usually ~200hz, always &lt;1kHz), A and B.  A can carry out signal measurement during the normal operation of the instrument.
B can only be used during instrument calibration, and A can also be used at this time. B can accurately measure the signal. The measurement accuracy of A is lower than that of B.

I want to design a real-time filter for A to filter out the interference noise. The parameters of the filter are adjustable. When the instrument is calibrated, both A and B are used to measure the signal.
The measurement result of B is taken as the standard result to calculate the parameters of the filter adaptively. After setting the parameters of the filter, A is used to measure the signal without B.

I have investigated a variety of filters and found that the adaptive filter is quite suitable for my needs. However, the adaptive filter needs to input two signals, while I can only provide the measurement result of A during the operation of the instrument. So the adaptive filter is not completely suitable for my needs. 

I don't know how to solve this problem. Is there any method that suits my needs?
Thank you very much!
If you can use a higher precision instrument to measure the signal, then, if the signal maintains it's characteristics, you can build a system's model and use a Kalman filter for the "not so good" input channel.