Quasi-Cyclic Low-Density Parity-Check Codes for Space-Time Bit-Interleaved Coded Modulation

In this letter, it is shown that the diversity order of space-time bit-interleaved coded modulation (ST-BICM) system is determined by the number of submatrices having linearly independent column vectors in a parity-check matrix of quasicyclic low-density parity-check (QC-LDPC) code. It is also proved that this diversity order can be derived from the base matrix of QC-LDPC code, which can make it easy to design QC-LDPC codes suitable for ST-BICM systems. Finally, the simulation results are provided to confirm the analytical results.