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Entropy
Volume 24
Issue 11
10.3390/e24111541
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Article

Statistical Degree Distribution Design for Using Fountain Codes to Control the Peak-To-Average Power Ratio in an OFDM System

by
Cheng Bi
1,
Zheng Xiang
1,*,
Peng Ren
1,
Ting Yin
2 and
Yang Zhang
1
1
School of Telecommunication Engineering, Xidian University, Xi’an 710071, China
2
Beijing Electronic Science & Technology Institute, Beijing 100070, China
*
Author to whom correspondence should be addressed.
Entropy 2022, 24(11), 1541; https://doi.org/10.3390/e24111541
Submission received: 24 August 2022 / Revised: 20 October 2022 / Accepted: 25 October 2022 / Published: 26 October 2022
(This article belongs to the Special Issue Advances in Information and Coding Theory)
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Abstract

Utilizing fountain codes to control the peak-to-average power ratio (PAPR) is a classic scheme in Orthogonal Frequency Division Multiplexing (OFDM) wireless communication systems. However, because the robust soliton distribution (RSD) produces large-degree values, the decoding performance is severely reduced. In this paper, we design statistical degree distribution (SD) under a scenario that utilizes fountain codes to control the PAPR. The probability of the PAPR produced is combined with RSD to design PRSD, which enhances the smaller degree value produced. Subsequently, a particle swarm optimization (PSO) algorithm is used to search the optimal degree value between the binary exponential distribution (BED) and PRSD distribution according to the minimum average degree principle. Simulation results demonstrate that the proposed method outperforms other relevant degree distributions in the same controlled PAPR threshold, and the average degree value and decoding efficiency are remarkably improved.
Keywords: fountain codes; orthogonal frequency-division multiplexing; distribution degree; peak-to-average power ratio fountain codes; orthogonal frequency-division multiplexing; distribution degree; peak-to-average power ratio

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MDPI and ACS Style

Bi, C.; Xiang, Z.; Ren, P.; Yin, T.; Zhang, Y. Statistical Degree Distribution Design for Using Fountain Codes to Control the Peak-To-Average Power Ratio in an OFDM System. Entropy 2022, 24, 1541. https://doi.org/10.3390/e24111541

AMA Style

Bi C, Xiang Z, Ren P, Yin T, Zhang Y. Statistical Degree Distribution Design for Using Fountain Codes to Control the Peak-To-Average Power Ratio in an OFDM System. Entropy. 2022; 24(11):1541. https://doi.org/10.3390/e24111541

Chicago/Turabian Style

Bi, Cheng, Zheng Xiang, Peng Ren, Ting Yin, and Yang Zhang. 2022. "Statistical Degree Distribution Design for Using Fountain Codes to Control the Peak-To-Average Power Ratio in an OFDM System" Entropy 24, no. 11: 1541. https://doi.org/10.3390/e24111541

APA Style

Bi, C., Xiang, Z., Ren, P., Yin, T., & Zhang, Y. (2022). Statistical Degree Distribution Design for Using Fountain Codes to Control the Peak-To-Average Power Ratio in an OFDM System. Entropy, 24(11), 1541. https://doi.org/10.3390/e24111541

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