A Data-Reusing Nonlinear Gradient Descent Algorithm for a Class of Complex-Valued Neural Adaptive Filters

摘要

A complex-valued data-reusing nonlinear gradient descent (CDRNGD) learning algorithm for a class of complex-valued nonlinear neural adaptive filters is introduced and the affinity between the family of data-reusing algorithms and the class of normalised gradient descent algorithms is examined. Error bounds on the class of complex data-reusing algorithms are established and indicate the stability of such algorithms. Experiments on nonlinear inputs show the class of complex data-reusing algorithms outperforming the standard complex nonlinear gradient descent algorithms and converging to the normalised complex non-linear gradient descent algorithm without experiencing the stability problems commonly encountered with normalised gradient descent algorithms.