New Multi-Dimensional Mapping for MIMO-BICM-ID Systems

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 the design criterion and employing the Binary Switching Algorithm, some optimal constellation mappings are found for 2-dimensional and 3-dimensional cases. Mutual information is utilized to evaluate the proposed constellation mappings. It is illustrated that the proposed mapping schemes outperform conventional ones significantly at high Signal to Noise Ratio (SNR) over fading channels.