Laguerre-Volterra Filters Optimization Based on Laguerre Spectra
© Kibangou et al. 2005
Received: 29 July 2004
Published: 23 October 2005
New batch and adaptive methods are proposed to optimize the Volterra kernels expansions on a set of Laguerre functions. Each kernel is expanded on an independent Laguerre basis. The expansion coefficients, also called Fourier coefficients, are estimated in the MMSE sense or by applying the gradient technique. An analytical solution to Laguerre poles optimization is provided using the knowledge of the Fourier coefficients associated with an arbitrary Laguerre basis. The proposed methods allow optimization of both the Fourier coefficients and the Laguerre poles.