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Soner Bekleric Title of Thesis: Nonlinear Prediction via Volterra Ser

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5.4. REAL DATA EXAMPLES 87<br />

Time [s] (s)<br />

2<br />

3<br />

4<br />

5<br />

6<br />

7<br />

Traces<br />

10 20 30 40 50 60 70<br />

Traces<br />

80 90 100 110 120 130 140 150<br />

(a)<br />

(b)<br />

Data<br />

(c) (d)<br />

Figure 5.9: Real Data example shot gather. (a) Original data. (b) <strong>Prediction</strong> <strong>of</strong><br />

multiples. (c) Adaptive multiple attenuation <strong>via</strong> f − x linear prediction error filtering.<br />

(d) Adaptive multiple attenuation obtained with a f − x nonlinear prediction<br />

error operator (third order <strong>Volterra</strong> series).

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