New MPSK BCM codes for Rayleigh fading channels

In construction of bandwidth efficient multilevel block codes, Reed-Muller codes with two-level squaring construction have been found to be good candidates for component codes. On fading channels where codes with large minimum Hamming distances are required, Reed-Muller codes are very much favored due to high code rate and low decoding complexity, as well as large minimum Hamming distances. The authors present a class of new MPSK modulation codes by using Reed-Muller codes as component codes for Rayleigh fading channels. Two modified types of Reed-Muller codes are proposed to achieve trade-offs between code rate and decoder complexity. By using the minimum Hamming distance as the design criterion, new MPSK BCM codes are constructed. These codes outperform optimum TCM codes, with comparable decoder complexity and bandwidth efficiency