Upper Bound on the Bit Error Probability of Systematic Binary Linear Codes via Their Weight Spectra
Joint Authors
Liu, Jia
Zhang, Mingyu
Wang, Chaoyong
Chen, Rongjun
An, Xiaofeng
Wang, Yufei
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-01-29
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this paper, upper bound on the probability of maximum a posteriori (MAP) decoding error for systematic binary linear codes over additive white Gaussian noise (AWGN) channels is proposed.
The proposed bound on the bit error probability is derived with the framework of Gallager’s first bounding technique (GFBT), where the Gallager region is defined to be an irregular high-dimensional geometry by using a list decoding algorithm.
The proposed bound on the bit error probability requires only the knowledge of weight spectra, which is helpful when the input-output weight enumerating function (IOWEF) is not available.
Numerical results show that the proposed bound on the bit error probability matches well with the maximum-likelihood (ML) decoding simulation approach especially in the high signal-to-noise ratio (SNR) region, which is better than the recently proposed Ma bound.
American Psychological Association (APA)
Liu, Jia& Zhang, Mingyu& Wang, Chaoyong& Chen, Rongjun& An, Xiaofeng& Wang, Yufei. 2020. Upper Bound on the Bit Error Probability of Systematic Binary Linear Codes via Their Weight Spectra. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1152831
Modern Language Association (MLA)
Liu, Jia…[et al.]. Upper Bound on the Bit Error Probability of Systematic Binary Linear Codes via Their Weight Spectra. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1152831
American Medical Association (AMA)
Liu, Jia& Zhang, Mingyu& Wang, Chaoyong& Chen, Rongjun& An, Xiaofeng& Wang, Yufei. Upper Bound on the Bit Error Probability of Systematic Binary Linear Codes via Their Weight Spectra. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1152831
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152831