A technique is provided for processing a physiological signal. The technique includes performing one or more multi-resolution decompositions on a physiological signal and one or more morphological operations on some or all of the respective decomposition components. In one embodiment, the technique is implemented as iteratively wavelet transformations where morphological operations, such as erosions and dilations, are applied to modify some or all of the respective wavelet coefficients. The modified wavelet coefficients may then be reconstructed to generate a clean version of the physiological signal from which some or all of the noise and/or artifacts have been removed.