The effects of phase constraint approaches on the spectrum of shaped M-PSK waveforms

As coded modulation techniques become prevalent in the industry, higher order signaling constellations will be used more often. The need to contain bandwidth and constant envelope simultaneously in these waveforms often requires that transitions between signal states occur around the unit circle over a period of time. The length of the path around the unit circle has effects on the bandwidth of the signal. Approaches to minimizing these transition paths are explored and their effects on signal bandwidth are presented