A multi-bit decision for polar codes based on a simplified successive cancellation (SSC) decoding algorithm can improve the throughput of polar decoding. A list algorithm is used to improve the error-correcting performance. However, list decoders are highly complex compared with decoders without a list algorithm. In this paper, a low-complexity list decoder is proposed, where path-splitting operations for a multi-bit decision can be avoided, if the decoding reliability exceeds a threshold. The threshold is determined based on the reliability of subchannels and positions of decoding nodes. Path splitting rules are designed for multi-bit decision processes, and a complexity-reduced list decoder is proposed based on this. Results show that the number of survival paths can be greatly reduced at the cost of negligible deterioration in block error performance. Thus, the computational complexity can be significantly reduced, especially for a high signal-to-noise ratio (SNR) region.
polar codes low-complexity decoder splitting-reduced multi-bit decision list decoder
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This work was partially supported by National Major Project (Grant No. 2016ZX030010-11005), National Natural Science Foundation Project (Grant No. 61521061), and Intel Corporation.
Arikan E. Channel polarization: a method for constructing capacity-achieving codes for symmetric binary-input memoryless channels. IEEE Trans Inf Theory, 2009, 55: 3051–3073MathSciNetCrossRefMATHGoogle Scholar
Arikan E, Costello D J, Kliewer J, et al. Guest editorial recent advances in capacity approaching codes. IEEE J Sel Areas Commun, 2016, 34: 205–208CrossRefGoogle Scholar
Alamdar-Yazdi A, Kschischang F R. A simplified successive-cancellation decoder for polar codes. IEEE Commun Lett, 2011, 15: 1378–1380CrossRefGoogle Scholar
Sarkis G, Giard P, Vardy A, et al. Fast polar decoders: algorithm and implementation. IEEE J Sel Areas Commun, 2014, 32: 946–957CrossRefGoogle Scholar