New Mapping Schemes for Multi-Dimensional Constellation in MIMO-BICM-ID Systems

In this paper, the design of constellation mapping for bit interleaved coded modulation systems with iterative decoding (BICM-ID) for multiple input multiple output (MIMO) channel is studied. Based on minimizing pair-wise error probability, a design criterion is proposed to find the optimal 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. It is shown that proposed mapping schemes outperform conventional ones significantly at high Signal to Noise Ratio (SNR) over fading channels.