Error performance prediction of randomly shortened and punctured LDPC codes
- Author
- Adriaan Suls, Yannick Lefevre, Jeroen Van Hecke (UGent) , Mamoun Guenach (UGent) and Marc Moeneclaey (UGent)
- Organization
- Abstract
- In this contribution, we show that the word error rate (WER) performance in the waterfall region of a randomly shortened and punctured low density parity check code can be accurately predicted from the WER performance of its finitelength mother code. We derive an approximate analytical expression for the mutual information (MI) required by a daughter code to achieve a given WER, based on the MI required by the mother code, which shows that the gap to the capacity of the daughter code grows the more the code is punctured or shortened. The theoretical results are confirmed by simulations (where the random shortening and puncturing pattern is either selected independently per codeword or kept the same for all codewords) for practical codes on both the binary erasure channel and the binary-input additive white Gaussian noise channel.
- Keywords
- Channel coding, parity check codes, mutual information
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8639453
- MLA
- Suls, Adriaan, et al. “Error Performance Prediction of Randomly Shortened and Punctured LDPC Codes.” IEEE COMMUNICATIONS LETTERS, vol. 23, no. 4, 2019, pp. 560–63, doi:10.1109/LCOMM.2019.2900893.
- APA
- Suls, A., Lefevre, Y., Van Hecke, J., Guenach, M., & Moeneclaey, M. (2019). Error performance prediction of randomly shortened and punctured LDPC codes. IEEE COMMUNICATIONS LETTERS, 23(4), 560–563. https://doi.org/10.1109/LCOMM.2019.2900893
- Chicago author-date
- Suls, Adriaan, Yannick Lefevre, Jeroen Van Hecke, Mamoun Guenach, and Marc Moeneclaey. 2019. “Error Performance Prediction of Randomly Shortened and Punctured LDPC Codes.” IEEE COMMUNICATIONS LETTERS 23 (4): 560–63. https://doi.org/10.1109/LCOMM.2019.2900893.
- Chicago author-date (all authors)
- Suls, Adriaan, Yannick Lefevre, Jeroen Van Hecke, Mamoun Guenach, and Marc Moeneclaey. 2019. “Error Performance Prediction of Randomly Shortened and Punctured LDPC Codes.” IEEE COMMUNICATIONS LETTERS 23 (4): 560–563. doi:10.1109/LCOMM.2019.2900893.
- Vancouver
- 1.Suls A, Lefevre Y, Van Hecke J, Guenach M, Moeneclaey M. Error performance prediction of randomly shortened and punctured LDPC codes. IEEE COMMUNICATIONS LETTERS. 2019;23(4):560–3.
- IEEE
- [1]A. Suls, Y. Lefevre, J. Van Hecke, M. Guenach, and M. Moeneclaey, “Error performance prediction of randomly shortened and punctured LDPC codes,” IEEE COMMUNICATIONS LETTERS, vol. 23, no. 4, pp. 560–563, 2019.
@article{8639453,
abstract = {{In this contribution, we show that the word error rate (WER) performance in the waterfall region of a randomly shortened and punctured low density parity check code can be accurately predicted from the WER performance of its finitelength
mother code. We derive an approximate analytical expression for the mutual information (MI) required by a daughter code to achieve a given WER, based on the MI required by the mother code, which shows that the gap to the capacity of the daughter code grows the more the code is punctured or shortened. The theoretical results are confirmed by simulations (where the random shortening and puncturing pattern is either selected independently per codeword or kept the same for all codewords) for practical codes on both the binary erasure channel and the binary-input additive white Gaussian noise channel.}},
author = {{Suls, Adriaan and Lefevre, Yannick and Van Hecke, Jeroen and Guenach, Mamoun and Moeneclaey, Marc}},
issn = {{1089-7798}},
journal = {{IEEE COMMUNICATIONS LETTERS}},
keywords = {{Channel coding,parity check codes,mutual information}},
language = {{eng}},
number = {{4}},
pages = {{560--563}},
title = {{Error performance prediction of randomly shortened and punctured LDPC codes}},
url = {{http://doi.org/10.1109/LCOMM.2019.2900893}},
volume = {{23}},
year = {{2019}},
}
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