### Juha Karvanen, Pauli Kuosmanen and Jaakko Astola

# On output distributions of
rational filters in the case of uniform noise

This paper illustrates the difficulties in the evaluation of the output
distributions of rational filters even
when the assumptions of the relation between the signal and the noise are very
simplified. We derive the
output distribution analytically for one of the simplest rational filter for
two i.i.d. uniformly distributed
input samples. From this derivation the inherent difficulties can be
understood.