Non-Coherent Multi-Level Index Modulation

Publisher:
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Publication Type:
Journal Article
Citation:
IEEE Transactions on Communications, 2022, 70, (4), pp. 2240-2255
Issue Date:
2022-04-01
Filename Description Size
Non-Coherent Multi-Level Index Modulation.pdfPublished version1.45 MB
Adobe PDF
Full metadata record
This paper develops a non-coherent index modulation (IM) system in which activation patterns are characterized by multi-level block codes. We analyze performance of such a system under the maximum-likelihood (ML) receiver and when the set of activation patterns follows a multi-level code generated from asymptotically optimal alphabets. An asymptotic analysis of the pair-wise error probability (PEP) shows that the system can exploit a diversity order that is determined by the distance of the worst codeword pair in the $l_{1}$ metric, known as the Manhattan norm. We then explore the rate-diversity tradeoff for the developed non-coherent IM system as a function of the code length. Specifically, Gilbert-style bounds on the data rates for systems based on binary and ternary codes are obtained that can ensure a given diversity order. We approach the problem of packing in the l1 metric by partitioning codes into permutation modulation codes (PMCs) and obtaining Gilbert-style bounds on PMCs. Several achievable rates for non-coherent binary and ternary IM systems, as well as a tradeoff between the information rate and codeword error probability (CEP) are also derived. Finally, simulation results are provided to corroborate the theoretical analysis.
Please use this identifier to cite or link to this item: