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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4.5. SYNTHETIC AND REAL DATA EXAMPLES 71<br />
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Figure 4.17: 2-D synthetic data. (a) Original data. (b) <strong>Prediction</strong> using a thirdorder<br />
<strong>Volterra</strong> series with parameters p = 7, q = 7, and r = 7. (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 = 7,<br />
and r = 7).<br />
diffractions and apexes <strong>of</strong> events properly with parameters q = 9 and r = 9 (Figure<br />
4.19(f)). It is clear that this particular data set requires both linear and nonlinear<br />
components to properly model the complex waveforms.<br />
(f)