  In the evolving landscape of sixth-generation (6G) wireless networks, which
demand ultra high data rates, this study introduces the concept of super
constellation communications. Also, we present super amplitude phase shift
keying (SAPSK), an innovative modulation technique designed to achieve these
ultra high data rate demands. SAPSK is complemented by the generalized polar
distance detector (GPD-D), which approximates the optimal maximum likelihood
detector in channels with Gaussian phase noise (GPN). By leveraging the
decision regions formulated by GPD-D, a tight closed-form approximation for the
symbol error probability (SEP) of SAPSK constellations is derived, while a
detection algorithm with O(1) time complexity is developed to ensure fast and
efficient SAPSK symbol detection. Finally, the theoretical performance of SAPSK
and the efficiency of the proposed O(1) algorithm are validated by numerical
simulations, highlighting both its superiority in terms of SEP compared to
various constellations and its practical advantages in terms of fast and
accurate symbol detection.
