A new type of 2-D cascade-parallel adaptive infinite impulse response
(IIR) filters with adaptive algorithm based on the concept of back pro
pagation method is developed. This class of filter consists of paralle
l blocks each of which includes all-zero (transversal) and all-pole se
ctions in cascade form realizations. At first a 2-D cascade-parallel f
ilter structure is introduced, then an efficient adaptive algorithm is
proposed using the concept of backpropagating the desired signal. Fin
ally, the applications of this type of 2-D adaptive IIR filters in 2-D
system identification and noise reduction in an image are illustrated
with numerical examples. Copyright (C) 1996 Published by Elsevier Sci
ence Ltd