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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3.4. SUMMARY 46<br />
3.4 Summary<br />
In this chapter, I have covered theoretical and practical aspects <strong>of</strong> linear and nonlin-<br />
ear systems; particularly, <strong>Volterra</strong> series and the nonlinear prediction model based<br />
on a third-order <strong>Volterra</strong> series was presented. Linear and nonlinear autoregressive<br />
models have been explored. <strong>Volterra</strong> kernel parameters are obtained <strong>via</strong> a least<br />
squares inversion method. Real and synthetic data examples illustrate these meth-<br />
ods. Linear and nonlinear time series modeling <strong>of</strong> 1-D data has been presented.