For each user in a multi-user detection arrangement in a CDMA communications system, a detector (80) provides a limiting function (88) responsive to a combined signal to produce a detection signal, having any of at least three possible values, for supply to a signal regenerator, regenerated signals being subtracted from a received signal in successive detection iterations of the multi-user detection arrangement. A code correlated signal is supplied via an inverse hyperbolic tangent function (84), or is multiplied by a multiplier inverse to an iteration index, to produce a derived signal. The derived signal is added (86) to a representation of a detection result stored from a previous iteration to produce the combined signal. The limiting function can comprise a hyperbolic tangent function.