Adaptive subtraction results

Figure a shows the estimated primaries when the 312#312-norm is used to compute the shaping filters. Figure b displays the estimated internal multiples. As expected, because of the amplitude differences between the signal (primaries) and the noise (multiples), the adaptive subtraction fails and we retrieve the behavior explained in the preceding section with the 1D example. Now, in Figure , we see the beneficial effects of the 1#1-norm. Figure a shows the estimated primaries and Figure b the estimated multiples. The noise subtracted almost perfectly matches the internal multiple model in Figure b, as anticipated.

 

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Figure 8 (a) The estimated primaries with the 312#312-norm. (b) The estimated internal multiples with the 312#312-norm. Ideally, (b) should look like Figure b, but it does not.

 

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Figure 9 (a) The estimated primaries with the 1#1-norm. (b) The estimated internal multiples with the 1#1-norm. Beside some edge-effects, (b) resembles closely Figure b. The adaptive subtraction worked very well.