When Probabilistic Shaping Realizes Improper Signaling for Hardware Distortion Mitigation

Javed, Sidrah; Elzanaty, Ahmed; Amin, Osama; Shihada, Basem; Alouini, Mohamed-Slim

Abstract

Hardware distortions (HWDs) 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 HWDs 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 (MC) 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.

Citation

Javed, S., Elzanaty, A., Amin, O., Shihada, B., & Alouini, M.-S. (2021). When Probabilistic Shaping Realizes Improper Signaling for Hardware Distortion Mitigation. IEEE Transactions on Communications, 69(8), 5028-5042. https://doi.org/10.1109/tcomm.2021.3074978

• Journal Article Type: Article
• Acceptance Date: Mar 15, 2021
• Online Publication Date: Apr 22, 2021
• Publication Date: 2021-08
• Deposit Date: Dec 11, 2024
• Journal: IEEE Transactions on Communications
• Print ISSN: 0090-6778
• Electronic ISSN: 1558-0857
• Publisher: Institute of Electrical and Electronics Engineers
• Peer Reviewed: Peer Reviewed
• Volume: 69
• Issue: 8
• Pages: 5028-5042
• DOI: https://doi.org/10.1109/tcomm.2021.3074978
• Public URL: https://durham-repository.worktribe.com/output/3214040