Short Note Subtraction versus filtering for signal/noise separation
نویسنده
چکیده
The main motivation in writing this paper is to better understand why the subtraction method attenuates the noise better than the filtering approach (Guitton and Claerbout, 2003). This is difficult to answer since both methods, although having their roots in the inversion theory framework, follow two different philosophies. The subtraction method models simultaneously the noise and the signal components with a noise and signal modeling operator, respectively, whereas the filtering method approximates the noise covariance operator with filters. It is not clear from these definitions why both approaches should lead to different results. This short note attempts to fill this gap.
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