4.7 Article

Spinal Codes Over Fading Channel: Error Probability Analysis and Encoding Structure Improvement

Journal

IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS
Volume 20, Issue 12, Pages 8288-8300

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TWC.2021.3091719

Keywords

Decoding; Wireless communication; Upper bound; Rayleigh channels; Performance analysis; Complexity theory; Channel coding; Spinal codes; FER analysis; Rayleigh fading channel; encoding structure improvement

Funding

  1. National Natural Science Foundation of China [61871147, 62071141, 61831008, 61371102]
  2. Shenzhen Municipal Science and Technology Plan [GXWD20201230155427003-20200730122528002]
  3. Guangdong Science and Technology Planning Project [2018B030322004]

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By conducting performance analysis and proposing an improved encoding structure for Spinal codes, the reliability and anti-noise performance over the Rayleigh fading channel can be significantly enhanced.
In order to facilitate the reliability of data transmission of Spinal codes over the fading channel, performance analysis of Spinal codes is conducted, and an improved encoding structure is proposed. First, we derive an approximate frame error rate (FER) upper bound for Spinal codes over the Rayleigh fading channel in the finite block length (FBL) regime. Then, inspired by the FER analysis process, we propose an improved encoding structure, named self-concatenation structure, to reduce the FER of Spinal codes. In addition, a parallel structure is proposed for Spinal codes to improve the decoding throughput. For the self-concatenation structure, simulation results show that it exhibits a significant gain in anti-noise performance compared with the original Spinal codes over the Rayleigh fading channel. For the parallel structure, we find that by combining the parallel structure with the self-concatenation structure, not only is the encoding and decoding throughput of Spinal codes significantly improved but also the FER of Spinal codes is reduced.

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