Circuits and methods are provided for use in a wireline or wireless transmitter to complement the digital generation of non-constant envelope modulation signals therein. A digital signal processor is configured for deconstructing a predetermined signal having an undesirable property into one or more fragment signals which do not have the undesirable property. In a preferred embodiment the predetermined signal is preconditioned by applying a preconditioning deconstruction process to another signal from which the predetermined signal is derived, whereby that other signal is deconstructed into one or more preconditioned fragment signals having an improved property over the other signal. For OFDM modulation schemes this undesirable property may be a relatively high peak-to-average power ratio. Signals formed from the fragment signals are subject to conversion to analog signals and processing by power efficient, dynamic-range limited analog circuits i.e. S Class power amplifiers (and, for wireless applications, low compression-point up-converters), before being recombined for transmission.