Adaptive Laguerre network realization

An adaptive scheme is developed to realize the set of linear discrete-time (DT) systems by the Laguerre networks using gradient search or least mean-s quares and steepest descent (LMS/SD) algorithms. Both Laguerre parameter an d Laguerre coefficients are optimally evaluated by the adaptive scheme. Two suboptimal procedures called approximate and modified methods are addresse d and introduced, respectively, to initialize the Laguerre parameter in its adaptive evaluation. The Laguerre coefficients are also evaluated by two a daptive algorithms presented as bilinear and direct methods. This adaptive scheme simply realizes the linear DT systems either in time or frequency do main. The application of linear DT modeling and filter design is illustrate d via some examples. (C) 2000 Elsevier Science B.V. All rights reserved.