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| Design of LDPC Codes over GF(q) for Bandwidth Efficient Transmission |
| Lei Wei-jia①; Li Xiang-ming②; Li Guang-jun① |
| ①University of Electronic Science and Technology of China, Chengdu 610054, China;②Chongqing University of Posts and Telecommunications, Chongqing 400065, China |
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Abstract Optimization of binary LDPC (Low-Density Parity-Check) codes for application to binary PSK modulation has been demonstrated in the literature, on the basis of Monte-Carlo method proposed by Davey(1998). The lack of rotational symmetry in a generic q-ary signal constellation, however, limits the application of Davey’s method. This paper proposes an efficient Davey-type Monte Carlo technique for code optimization within the category of quasi-regular codes, so that one can directly combine the optimized LDPC code over GF(q) with arbitrary q-ary modulation to achieve bandwidth efficiency in transmission. The validity of the proposed design procedure is illustrated through examples combining quasi-regular LDPC codes with MQAM and MPSK signaling schemes.
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Received: 05 September 2005
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2007, Vol. 29 
