Achievable Information Rates for Probabilistic Amplitude Shaping: An Alternative Approach via Random Sign-Coding Arguments
Probabilistic amplitude shaping (PAS) is a coded modulation strategy in which constellation shaping and channel coding are combined. PAS has attracted considerable attention in both wireless and optical communications. Achievable information rates (AIRs) of PAS have been investigated in the literatu...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-07-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/22/7/762 |
| _version_ | 1797562695659028480 |
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| author | Yunus Can Gültekin Alex Alvarado Frans M. J. Willems |
| author_facet | Yunus Can Gültekin Alex Alvarado Frans M. J. Willems |
| author_sort | Yunus Can Gültekin |
| collection | DOAJ |
| description | Probabilistic amplitude shaping (PAS) is a coded modulation strategy in which constellation shaping and channel coding are combined. PAS has attracted considerable attention in both wireless and optical communications. Achievable information rates (AIRs) of PAS have been investigated in the literature using Gallager’s error exponent approach. In particular, it has been shown that PAS achieves the capacity of the additive white Gaussian noise channel (Böcherer, 2018). In this work, we revisit the capacity-achieving property of PAS and derive AIRs using weak typicality. Our objective is to provide alternative proofs based on random sign-coding arguments that are as constructive as possible. Accordingly, in our proofs, only some signs of the channel inputs are drawn from a random code, while the remaining signs and amplitudes are produced constructively. We consider both symbol-metric and bit-metric decoding. |
| first_indexed | 2024-03-10T18:32:38Z |
| format | Article |
| id | doaj.art-6a13e979df93465a8fcb27c69bc2d812 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T18:32:38Z |
| publishDate | 2020-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-6a13e979df93465a8fcb27c69bc2d8122023-11-20T06:30:06ZengMDPI AGEntropy1099-43002020-07-0122776210.3390/e22070762Achievable Information Rates for Probabilistic Amplitude Shaping: An Alternative Approach via Random Sign-Coding ArgumentsYunus Can Gültekin0Alex Alvarado1Frans M. J. Willems2Information and Communication Theory Lab, Signal Processing Systems Group, Department of Electrical Engineering, Eindhoven University of Technology, 5600 MB Eindhoven, The NetherlandsInformation and Communication Theory Lab, Signal Processing Systems Group, Department of Electrical Engineering, Eindhoven University of Technology, 5600 MB Eindhoven, The NetherlandsInformation and Communication Theory Lab, Signal Processing Systems Group, Department of Electrical Engineering, Eindhoven University of Technology, 5600 MB Eindhoven, The NetherlandsProbabilistic amplitude shaping (PAS) is a coded modulation strategy in which constellation shaping and channel coding are combined. PAS has attracted considerable attention in both wireless and optical communications. Achievable information rates (AIRs) of PAS have been investigated in the literature using Gallager’s error exponent approach. In particular, it has been shown that PAS achieves the capacity of the additive white Gaussian noise channel (Böcherer, 2018). In this work, we revisit the capacity-achieving property of PAS and derive AIRs using weak typicality. Our objective is to provide alternative proofs based on random sign-coding arguments that are as constructive as possible. Accordingly, in our proofs, only some signs of the channel inputs are drawn from a random code, while the remaining signs and amplitudes are produced constructively. We consider both symbol-metric and bit-metric decoding.https://www.mdpi.com/1099-4300/22/7/762probabilistic amplitude shapingachievable information raterandom codingsymbol-metric decodingbit-metric decoding |
| spellingShingle | Yunus Can Gültekin Alex Alvarado Frans M. J. Willems Achievable Information Rates for Probabilistic Amplitude Shaping: An Alternative Approach via Random Sign-Coding Arguments Entropy probabilistic amplitude shaping achievable information rate random coding symbol-metric decoding bit-metric decoding |
| title | Achievable Information Rates for Probabilistic Amplitude Shaping: An Alternative Approach via Random Sign-Coding Arguments |
| title_full | Achievable Information Rates for Probabilistic Amplitude Shaping: An Alternative Approach via Random Sign-Coding Arguments |
| title_fullStr | Achievable Information Rates for Probabilistic Amplitude Shaping: An Alternative Approach via Random Sign-Coding Arguments |
| title_full_unstemmed | Achievable Information Rates for Probabilistic Amplitude Shaping: An Alternative Approach via Random Sign-Coding Arguments |
| title_short | Achievable Information Rates for Probabilistic Amplitude Shaping: An Alternative Approach via Random Sign-Coding Arguments |
| title_sort | achievable information rates for probabilistic amplitude shaping an alternative approach via random sign coding arguments |
| topic | probabilistic amplitude shaping achievable information rate random coding symbol-metric decoding bit-metric decoding |
| url | https://www.mdpi.com/1099-4300/22/7/762 |
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