To combine Low-Density Parity-Check (LDPC) codes with MQAM constellation, a scheme of Belief Propagation Coded Modulation with Iterative Decoding (BPCM-ID) is proposed. The Pair Error Probability(PEP) performance in Rayleigh channel and design rules for MQAM constellation are also analyzed. Both outer and inner iterations are used to avoid too much errors feedback which may cause decoding failure. The scheme introduces the check equations of LDPC codes to terminate both iterations which reduce the average decoding complexities greatly. Simulation results show that the proposed BPCM-ID is effective and performs better than the other three schemes.
Ungerboeck G. Trellis-coded modulation with redundant signal sets [J]. IEEE Communications Magazine, 1987, 25(2): 5 - 21.[2]Zehavi E. 8-PSK trellis codes for a Rayleigh channel[J].IEEE Trans. on Communications.1992, 40(5):873-[3]Caire G, Taricco G, Biglieri E. Bit-interleaved coded modulation [J].IEEE Trans. on Information Theory.1998, 44 (3):927-[4]Li X, Ritcey J A. Trellis coded modulation with bit interleaving and iterative decoding[J].IEEE J. on Selected Areas in Communications.1999, 17(4):715-[5]Chindapol A, Ritcey J A. Design, analysis and performance evaluation for BICM-ID with square QAM constellation in Rayleigh fading channels[J].IEEE J. on Selected Areas in Communications.2001, 19(5):944-[6]Gallager R G. Low Density Parity Check Codes[D]. Cambridge,MA, MIT Press 1963.[7]Mackay D J C. Good error-correcting codes based on very sparse matrices[J].IEEE Trans. on Information Theory.1999, 45 (3):399-[8]Richardson T J, Shokrollahi M A, Urbanke R L. Design of capacity-approaching irregular low-density parity-check codes[J].IEEE Trans. on Information Theory.2001, 47 (2):619-