Dear Hamed,
I suggest you to see links in topic.
-A Method for Removal of Low Frequency Components Associated with ...
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3315562/
-Removal of blink artifacts in single channel EEG. - NCBI
https://www.ncbi.nlm.nih.gov/pubmed/23366684
-a review of the state of the art in artifact removal technologies as used ...
eprints.maynoothuniversity.ie/3652/.../SMcL_review_of_the_state....
-Removal of EMG Interference from Electrocardiogram Using Back ...
www.rroij.com/.../removal-of-emg-interference-fromelectrocardio...
-A new impulse detection and filtering method for removal of wide ...
dl.acm.org/citation.cfm?id=1542889
Best regards
With carefully designed and carefully controlled simulations.
by using simulated signals, then use one of the signal reconstruction quality measurement such as Peak Signal to Noise Ration PSNR:
see for example:
https://ieeexplore.ieee.org/document/4068376/
and
https://www.researchgate.net/publication/269937374_Data_compression_in_wireless_sensors_network_using_MDCT_and_embedded_harmonic_coding?_sg=x0mM-PTAlofUGFn_yzl4Gh-mZXRl4_Rwzm2C3AZASJkINgvq6tqKXfK5GGLKUawd_nmZgb4k9JTFr0TBxJQi0Hti3uxSQzdEeaxNCcS9.v2L_7cp2mKX-OfYhcaThs_L3_WMoRk15m5EaDXUrCJ7r1YVQ-IZbUtBvDI7aI3-Ld3fNFoPmtQPV_8J-jkeT3A
both papaers above applied PSNR to measure the efficiency of data compression algorithm, but you can apply it to measure filter performance too such as Wavelet and Kalman filters
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