Space-time codes with AM-PSK constellations

This correspondence presents a new signal mapper that maps the maximal rank distance codes to space-time (ST) codes with amplitude modulation phase-shift keying (AM-PSK) constellations. It is shown that this new mapper is rank-distance preserving. Comparing to the multiradii construction proposed by Hammons, this new mapper has linear increase in the radii and the resulting signal constellations have larger minimum distance and lower peak-to-average power ratio. Variations of this new mapper are also given to provide ST codes with rotated AM-PSK constellations