Soner Bekleric Title of Thesis: Nonlinear Prediction via Volterra Ser
Soner Bekleric Title of Thesis: Nonlinear Prediction via Volterra Ser
Soner Bekleric Title of Thesis: Nonlinear Prediction via Volterra Ser
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3.3. 1-D SYNTHETIC AND REAL DATA EXAMPLES 43<br />
Samples<br />
Samples<br />
−4 −2 0 2<br />
0<br />
50<br />
100<br />
(a)<br />
Amplitude<br />
−4 −2 0 2<br />
0<br />
50<br />
100<br />
(d)<br />
Amplitude<br />
Samples<br />
Samples<br />
−4 −2 0 2<br />
0<br />
50<br />
100<br />
(b)<br />
Amplitude<br />
−4 −2 0 2<br />
0<br />
50<br />
100<br />
(e)<br />
Amplitude<br />
Samples<br />
Samples<br />
−4 −2 0 2<br />
0<br />
50<br />
100<br />
(c)<br />
Amplitude<br />
−4 −2 0 2<br />
0<br />
50<br />
100<br />
(f)<br />
Amplitude<br />
Figure 3.5: 1-D synthetic data. (a) Original data. (b) <strong>Prediction</strong> using a thirdorder<br />
<strong>Volterra</strong> series with parameters p = 8, q = 8, and r = 8. (c) Contribution<br />
from the linear part. (d) Contribution from the quadratic part. (e) Contribution<br />
from the cubic part. (f) Contribution from both quadratic and cubic parts (q = 8,<br />
and r = 8).<br />
prediction associated to both quadratic and cubic terms (q = 10 and r = 10).