Abstract
Hardware distortions (HWD) render drastic effects on the performance of
communication systems. They are recently proven to bear asymmetric signatures;
and hence can be efficiently mitigated using improper Gaussian signaling (IGS),
thanks to its additional design degrees of freedom. Discrete asymmetric
signaling (AS) can practically realize the IGS by shaping the signals' geometry
or probability. In this paper, we adopt the probabilistic shaping (PS) instead
of uniform symbols to mitigate the impact of HWD and derive the optimal maximum
a posterior detector. Then, we design the symbols' probabilities to minimize
the error rate performance while accommodating the improper nature of HWD.
Although the design problem is a non-convex optimization problem, we simplified
it using successive convex programming and propose an iterative algorithm. We
further present a hybrid shaping (HS) design to gain the combined benefits of
both PS and geometric shaping (GS). Finally, extensive numerical results and
Monte-Carlo simulations highlight the superiority of the proposed PS over
conventional uniform constellation and GS. Both PS and HS achieve substantial
improvements over the traditional uniform constellation and GS with up to one
order magnitude in error probability and throughput.