Đang chuẩn bị nút TẢI XUỐNG, xin hãy chờ
Tải xuống
Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Laguerre-Volterra Filters Optimization Based on Laguerre Spectra | EURASIP Journal on Applied Signal Processing 2005 17 2874-2887 2005 Hindawi Publishing Corporation Laguerre-Volterra Filters Optimization Based on Laguerre Spectra Alain Y. Kibangou Laboratoire I3S CNRS-UNSA Les algorithmes-Bat. Euclide B 2000 route des lucioles BP 121 06903 Sophia Antipolis Cedex France Email kibangou@i3s.unice.fr Laboratoire d Electronique et Instrumentation FSSM-UCAM BP 2390 40000 Marrakesh Morocco Gerard Favier Laboratoire I3S CNRS-UNSA Les algorithmes-Bat. Euclide B 2000 route des lucioles BP 121 06903 Sophia Antipolis Cedex France Em ail favier@i3s.unice.fr Moha M. Hassani Laboratoire d Electronique etInstrumentation FSSM-UCAM BP 2390 40000 Marrakesh Morocco Email hassani@ucam.ac.ma Received 29 July 2004 Revised 1 April 2005 Recommended for Publication by Markus Rupp 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. Keywords and phrases Volterra filters Laguerre basis basis selection nonlinear system identification. 1. INTRODUCTION Truncated Volterra filters constitute a class of nonrecursive polynomial models. The main drawback of these models is their over-parameterization. During the last decade in order to reduce the parametric complexity that is the number of parameters three main approaches have been considered i approximations by means of parallel-cascade structures composed of linear filters and memoryless nonlinearities 1 ii algebraic decompositions of matrices or tensors formed with kernels coefficients 2 3 4 iii expansions on
