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Novel Method for Multi-Dimensional Mapping of Higher Order Modulations\n for BICM-ID Over Rayleigh Fading Channels

2018/07/12 by Hassan M. Navazi, Md. Jahangir Hossain, Navazi, Hassan M. +1
Computer Science · Engineering · #Advanced Wireless Communication Techniques #Coding theory and cryptography #Error Correcting Code Techniques #FOS: Computer and information sciences #FOS: Electrical engineering #Information Theory (cs.IT) #Signal Processing (eess.SP) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1807.04854

openalex publication_date 2018/07/12 · openalex created_date 2022/08/04 · openalex updated_date 2026/07/28

Abstract

Multi-dimensional (MD) mapping offers more flexibility in mapping design for\nbit-interleaved coded modulation with iterative decoding (BICM-ID) and\npotentially improves the bandwidth efficiency. However, for higher order signal\nconstellations, finding suitable MD mappings is a very complicated task due to\nthe large number of possible mappings. In this paper, a novel mapping method is\nintroduced to construct efficient MD mappings to improve the error performance\nof BICM-ID over Rayleigh fading\n channels. We propose to break the MD mapping design problem into four\ndistinct 2-D mapping functions. The 2-D mappings are designed such that the\nresulting MD mapping improves the BICM-ID error performance at low signal to\nnoise ratios (SNRs). We also develop cost functions that can be optimized to\nimprove the error performance at high SNRs. The proposed mapping method is very\nsimple compared to well-known mapping methods, and it can achieve suitable MD\nmappings for different modulations including higher order modulations for\nBICM-ID. Simulation results show that our mappings significantly outperform the\npreviously known mappings at a target bit error rate (BER) of 10-6. Our\nmappings also offer a lower error-floor compared to their well-known\ncounterparts.\n

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