This paper studies adaptive truncated Volterra filters employing paral
lel-cascade structures. Parallel-cascade realizations implement higher
order Volterra systems as a parallel connection of multiplicative com
binations of lower order truncated Volterra systems. A normalized LMS
adaptive filter is developed, and its performance capabilities are eva
luated using a series of simulation experiments. The experimental resu
lts indicate that the normalized LMS adaptive parallel-cascade Volterr
a filter has superior convergence properties over several competing st
ructures. This paper also includes an experiment that demonstrates the
capability of the parallel-cascade adaptive system to reduce its impl
ementation complexity by using fewer than the maximum number of branch
es required for the most general realization of the system.