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| New Approach to Optimal Approximation of Tanh Rule for
LDPC Codes under the Gaussian Approximation |
| Zheng He①; HuHan-ying①; Zhou Hua-ying② |
①Dept. of Communications Engineering, Information Engineering University, Zhengzhou 450002, China;
②Southwest Inst. of Electron & Telecom Techniques, Chengdu 610041, China |
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Abstract In this paper, a new approach is presented for optimizing the approximation of tanh rule based on Minimum Mean Square Error (MMSE) criterion under the Gaussian approximation. New concepts of anti-symmetric distribution and isomorphic generalized symmetric distribution are introduced. Under the isomorphic generalized symmetric distribution, several useful conclusions are drawn, by which a practical method for computing the optimal approximation is also presented. In comparison with the conventional approximation presented by Hagenauer, simulation results for several (3,6) regular Low-Density Parity-Check (LDPC) codes on the Additive White Gaussian Noise (AWGN) channel show that the approach can improve the decoding performance with a little increase in decoding complexity.
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Received: 17 January 2005
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2006, Vol. 28 
