An apparatus, and an associated methodology, for facilitating communication of data in a wireless communication systems. Binary data are modulated to form modulated symbols on parallel paths. The symbols formed on one of the parallel paths are phase-offset by a phase rotator to form phase-offset symbols. The parallel paths of symbols provide the symbols, both the phase-offset symbols and the symbols that are not phase-offset, to an Alamouti encoder. As a result, the dynamic range of the transmitted RF signals is reduced due to the introduction of the phase offset between the symbols of the parallel paths applied to the Alamouti encoder.