A new algorithm is presented for blind deconvolution of nonminimum phase sy
stems. It is based on the gradient minimisation of a criterion designed as
the weighted square of the difference between two statistical spectra. Its
main advantages are that it does not require signal preprocessing (such as
spectral prewhitening) nor source information, except for statistics up to
the fourth-order, and has a high convergence speed and fairly limited compu
tational requirements.