We introduce a method to clean uncorrelated deterministic and stochastic no
ise components from time series. It combines recently developed techniques
for nonlinear projection with properties of the wavelet transform to extrac
t noise in state space. The method requires that time series are generated
by a dynamical system which is at least approximately deterministic and tha
t they are recorded together with a reference signal. its efficiency was te
sted on both simulated signals and measured magnetic fields of the heart. C
onvincing results are obtained even at low signal-to-noise ratios.