Abstract
This paper investigates two methods of constructing bandwidth efficient MPSK modulation codes for the AWGN and Rayleigh fading channels. The first method is the multilevel coding method devised by Imai and Hirakawa. The multilevel coding method is a powerful technique for constructing bandwidth efficient modulation codes systematically with arbitrarily large distance parameters from Hamming distance component (block or convolutional) codes in conjunction with proper bits-to-signal mapping through signal set partitioning. Particularly, it provides the flexibility to coordinate the distance parameters of a code such that the best performance for a given channel can be attained. Furthermore, the multilevel modulation codes constructed by this method allow the use of multistage decoding procedures that provide good trade-offs between performance and decoding complexity. The second method is to construct TCM codes using convolutional codes with good free branch distance in conjunction with the multilevel coding technique.
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