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In this letter, blind multiuser detection is studied in the presence of multipath distortion. The kurtosis of the receiver's output is minimized with respect to the receiver's parameters subject to multiple linear constraints. The constraints are dependent on the spreading codes of the user of interest. In order to optimally combine signals from multipath, the kurtosis is parameterized by the constraint vector as well and is further maximized. It is shown that under some conditions, the optimaldoi:10.1109/lsp.2003.819342 fatcat:klmbuy65hbgfhgzbzequhfwzgi