On-line adaptive learning algorithms for cancellation of additive, con
volutive noise from linear mixtures of sources with a simultaneous bli
nd source separation are developed. Associated neural network architec
tures are proposed. A simple convolutive noise model is assumed, i.e.
the unknown additive noise in each channel is a (FIR) filtering versio
n of environmental noise, where some convolutive reference noise is me
asurable. Two approaches are considered: in the first, the noise is ca
ncelled from the linear mixture of source signals as pre-processing, a
fter that the source signals are separated; in the second, both source
separation and additive noise cancellation are performed simultaneous
ly. Both steps consist of adaptive learning processes. By computer sim
ulation experiments, it was found that the first approach is applicabl
e for a large amount of noise, whereas in the second approach, a consi
derable increase of the convergence speed of the separation process ca
n be achieved Performance and validity of the proposed approaches are
demonstrated by extensive computer simulations.