This repository includes the MATLAB implementation of random multiplexing.
(*) References:
[1] L. Liu, Y. Chi, S. Huang, Z. Zhang, "Random Multiplexing," in IEEE Trans. Inf. Theory, Accepted in 2025.
[2] L. Liu, Y. Chi, S. Huang, "Random Modulation: Achieving Asymptotic Replica Optimality over Arbitrary Norm-Bounded and Spectrally Convergent Channel Matrices," in Proc. IEEE Int. Symp. Inf. Theory (ISIT), Michigan, USA, 2025.
In addition, we recommend consulting the following related works:
[3] Y. Chi, L. Liu, Y. Ge, X. Chen, Y. Li, and Z. Zhang, "Interleave Frequency Division Multiplexing," in IEEE Wire. Commun. Lett., vol. 13, no. 7, pp. 1963 - 1967, 2024.
[4] L. Liu, S. Huang, and B. M. Kurkoski, "Memory AMP," in IEEE Trans. Inf. Theory, vol. 68, no. 12, pp. 8015-8039, 2022.
[5] S. Huang, L. Liu and B. M. Kurkoski, "Overflow-Avoiding Memory AMP," in Proc. IEEE Int. Symp. Inf. Theory (ISIT), Athens, Greece, 2024, pp. 3516-3521
(1) "RM_uncoded": Multipath MIMO channels with no code, RM (CD-MAMP) v.s. OFDM (LMMSE) v.s. OTFS and AFDM (CD-OAMP).
(2) "RM_coded": Multipath MIMO channels with LDPC codes: (1) Cascaded detection-decoder, (2) Joint detection-decoder.
(3) "RM_power_allocation": Currently being cleaned up and documented (coming soon).
