Application of nonbinary LDPC codes based on Euclidean geometries to MIMO systems

This paper first presents an approach to the construction of non-binary low-density parity-check (LDPC) codes based on Euclidean geometries. Codes constructed by this method have multiple code rates and a constant code length. With the proposed codes, the MIMO systems can also support different data rate with the same basic structure. Simulation results show that these codes perform very well with either joint or separate MIMO detection and channel decoding. The complexity comparison shows that the nonbinary coded MIMO systems have lower complexity at the receiver side.