A peak to average power ratio in a DS-CDMA transmitter is reduced by applying hard limiting to the signal while it is in digital form and prior to any frequency band filtering. In the case of a complex signal the clipping is done by making an approximation to the magnitude of the complex signal, comparing this to a threshold value and, whenever the magnitude exceeds the threshold, scaling the in-phase and quadrature components by a factor equal to the ratio of the threshold value to the magnitude. The approximation to the magnitude is made by reducing the signal to the first octant of the complex plane, evaluating a plurality of linear functions of the reduced in-phase and quadrature components, and selecting the maximum value.