Abstract—In this paper, Bit Interleaved Coded Modulation systems with Iterative Decoding (BICM-ID) for Multiple Input Multiple Output (MIMO) channel are considered. Based on minimizing pair-wise error probability, a design criterion is proposed to find the optimal multi-dimensional constellation mapping for a MIMO-BICM-ID system. Using thedesigncriterion and employing theBinarySwitchingAl¬gorithm, some optimal constellation mappings are found for 2-dimensional and 3-dimensional cases. Mutual information is utilizedto evaluate theproposedconstellation mappings.It isillustratedthat theproposed mapping schemes outperform conventional ones significantly at high Signal to Noise Ratio (SNR) over fading channels.

Index Terms—Constelation/Mapping, MIMO , BICM, Iter-ative decoding

Cite:Ali Reza Rabbani Abolfazli and Yousef R. Shayan , "New Multi-Dimensional Mapping for MIMO-BICM-ID Systems," Journal of Communications, vol. 6, no.3, pp.232-239, 2011. Doi: 10.4304/jcm.6.3.232-239