Abstract
Multi-dimensional (MD) mapping offers more flexibility in mapping design for bit-interleaved coded modulation with iterative decoding (BICM-ID) and potentially improves the bandwidth efficiency. However, for higher order signal constellations, finding suitable MD mappings is a very complicated task due to the large number of possible mappings. In this paper, a novel mapping method is introduced to construct efficient MD mappings to improve the error performance of BICM-ID over Rayleigh fading channels. We propose to break the MD mapping design problem into four distinct 2-D mapping functions. The 2-D mappings are designed such that the resulting MD mapping improves the BICM-ID error performance at low signal-to-noise ratios (SNRs). We also develop cost functions that can be optimized to improve the error performance at high SNRs. The proposed mapping method is very simple compared to well-known mapping methods, and it can achieve suitable MD mappings for different modulations including higher order modulations for BICM-ID. The simulation results show that our mappings significantly outperform the previously known mappings at a target bit error rate (BER) of 10−6. Our mappings also offer a lower error-floor compared to their well-known counterparts.
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