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On implementation of min-sum algorithm and its modifications for decoding low-density Parity-check (LDPC) codes

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3 Author(s)
Jianguang Zhao ; Dept. of Syst. & Comput. Eng., Carleton Univ., Ottawa, Ont., Canada ; Zarkeshvari, F. ; Banihashemi, A.H.

The effects of clipping and quantization on the performance of the min-sum algorithm for the decoding of low-density parity-check (LDPC) codes at short and intermediate block lengths are studied. It is shown that in many cases, only four quantization bits suffice to obtain close to ideal performance over a wide range of signal-to-noise ratios. Moreover, we propose modifications to the min-sum algorithm that improve the performance by a few tenths of a decibel with just a small increase in decoding complexity. A quantized version of these modified algorithms is also studied. It is shown that, when optimized, modified quantized min-sum algorithms perform very close to, and in some cases even slightly outperform, the ideal belief-propagation algorithm at observed error rates.

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Communications, IEEE Transactions on  (Volume:53 ,  Issue: 4 )