Maximum Distance Separable (MDS) Code Aided GSM-MIMO: Design and Optimization

In this paper, we propose a new framework by combining the concepts of maximum distance separable (MDS) code and generalized spatial modulation (GSM) for multiple-input multiple-output (MIMO) transmission, namely MDS-GSM-MIMO. In our design, we exploit the powerful MDS code to increase the minimum Hamming distance (MHD) of the code-words, up to 2, and use the concept of space-domain index modulation to enlarge the minimum Euclidean distance (MED) of the achieved multidimensional GSM constellations. Moreover, we add the maximum minimum distance (MMD) precoder and guaranteed Euclidean distance (GED) precoder to enhance the MED further. Therefore, the MDS-GSM-MIMO we proposed with precoding is capable of optimizing both the overall MHD and MED. Then, we conduct theoretical analyses and comparisons with regard to average bit error rate (ABER) bound, MHD and MED of the conventional GSM-MIMO and the proposed MDS-GSM-MIMO. Simulation results show that the MDS-GSM-MIMO exhibits a BER performance gain of 3 dB compared to conventional GSM-MIMO, while the proposed MDS-GSM-MIMO with precoding exhibits a BER performance gain of up to 4 dB compared to the counterpart without precoding.