As a mathematical technique, I would suggest the use of "Blind Source Separation by Sparse Decomposition in a Signal Dictionary" (doi:10.1162/089976601300014385). However, the real challenge may be on how to turn noise patterns and possible correlated known information into distinct pieces of a dictionary "Removing electroencephalographic artifacts by blind source separation" (Psychophysiology / Volume 37 / Issue 02 / March 2000, pp 163-178).

Thank you so much sir..