Statistical Learning Aided List Decoding of Semi-Random Block Oriented Convolutional Codes. (arXiv:1905.11392v1 [cs.IT])

In this paper, we propose a statistical learning aided list decoding algorithm, which integrates a serial list Viterbi algorithm~(SLVA) with a soft check instead of the conventional cyclic redundancy check~(CRC), for semi-random block oriented convolutional codes~(SRBO-CCs). The basic idea is that, compared with an erroneous candidate codeword, the correct candidate codeword for the first sub-frame has less effect on the output of Viterbi algorithm~(VA) for the second sub-frame. The threshold for testing the correctness of the candidate codeword is then determined by learning the statistical behavior of the introduced empirical divergence function~(EDF). With statistical learning aided list decoding, the performance-complexity tradeoff and the performance-delay tradeoff can be achieved by adjusting the statistical threshold and extending the decoding window, respectively. To analyze the performance, a closed-form upper bound and a simulated lower bound are derived. Simulation results verify our analysis and show that: 1) The statistical learning aided list decoding outperforms the sequential decoding in high signal-to-noise ratio~(SNR) region; 2) under the constraint of equivalent decoding delay, the SRBO-CCs have comparable performance with the polar codes.

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