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FFT-SPA Non-Binary LDPC Decoding on GPU

J. Andrade, G. Falcao, V. Silva, Kenta Kasai
Instituto de Telecomunicacoes, Dept. of Electrical and Computer Eng., University of Coimbra, Portugal
IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), 2013
@article{andrade2013fft,

   title={FFT-SPA NON-BINARY LDPC DECODING ON GPU},

   author={Andrade, Joao and Falcao, Gabriel and Silva, Vitor and Kasai, Kenta},

   year={2013}

}

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It is well known that non-binary LDPC codes outperform the BER performance of binary LDPC codes for the same code length. The superior BER performance of non-binary codes comes at the expense of more complex decoding algorithms that demand higher computational power. In this paper, we propose parallel signal processing algorithms for performing the FFT-SPA and the corresponding decoding of non-binary LDPC codes over GF(q). The constraints imposed by the complex nature of associated subsystems and kernels, in particular the Check Nodes, present computational challenges regarding multicore systems. Experimental results obtained on GPU for a variety of GF(q) show throughputs in the order of 2 Mbps, which is far above from the minimum throughput required, for example, for real-time video applications that can benefit from such error correcting capabilities
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