I have some measurements of displacement vs time of movement of a particle. Between these measurements, I have some particles that are supposed to not be moving at all (these are the control samples). Therefore, all my measurements have noise.
I would like to remove this noise by using the control samples; the measurements I'm having from my control samples are supposed to be pure noise while graph P2 is real displacement+noise.
Is there any method that I can use to remove this noise using my control samples?