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The problem of multi-input/multi-output blind signal deconvolution is considered. In this paper, given an "adapted" definition of the contrast function, some results in Moreau and Tririon (1996) are generalized. In order to optimize the criteria, a gradient based block algorithm is proposed. It does not require parametrization of the lossless final separating filter. Computer simulations are also presented to demonstrate the effectiveness of the method.