GRAND-assisted Optimal Modulation
For Gaussian channels with peak and average power constraints the optimal modulation (OM) schemes are known to have nonuniform probability distributions over the signal points. An established way to obtain these distributions is assigning different number of bits to different constellation points. H...
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Format: | Thesis |
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Massachusetts Institute of Technology
2022
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Online Access: | https://hdl.handle.net/1721.1/144908 |
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author | Ozaydin, Basak |
author2 | Médard, Muriel |
author_facet | Médard, Muriel Ozaydin, Basak |
author_sort | Ozaydin, Basak |
collection | MIT |
description | For Gaussian channels with peak and average power constraints the optimal modulation (OM) schemes are known to have nonuniform probability distributions over the signal points. An established way to obtain these distributions is assigning different number of bits to different constellation points. However, this method leads to challenges in demodulation as if a symbol is identified falsely, due to the different bit lengths of symbols, bit insertions or deletions may occur which may in return cause error propagation. Hence, the difficulty of realizing the channel optimal distributions on constellation signals impeded OM from becoming widely utilized in communication systems. In this thesis, we propose a practical system for OM that uses only a simple padding scheme instead of the complex mechanisms in the current literature. A guess-based error correction demodulator lies at the core of the proposed system. Together with the padding scheme of our choice, our novel light-weight variant of Guessing Random Additive Noise Decoding (GRAND) demodulator protects the system against insertions and deletions. We display that with our approach an overall gain of up to 2 dB in energy per bit over noise spectral density (𝐸𝑏/𝑁0) is achievable compared to Quadrature Amplitude Modulation (QAM) with the same number of points. |
first_indexed | 2024-09-23T08:44:37Z |
format | Thesis |
id | mit-1721.1/144908 |
institution | Massachusetts Institute of Technology |
last_indexed | 2024-09-23T08:44:37Z |
publishDate | 2022 |
publisher | Massachusetts Institute of Technology |
record_format | dspace |
spelling | mit-1721.1/1449082022-08-30T04:02:32Z GRAND-assisted Optimal Modulation Ozaydin, Basak Médard, Muriel Duffy, Ken R. Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science For Gaussian channels with peak and average power constraints the optimal modulation (OM) schemes are known to have nonuniform probability distributions over the signal points. An established way to obtain these distributions is assigning different number of bits to different constellation points. However, this method leads to challenges in demodulation as if a symbol is identified falsely, due to the different bit lengths of symbols, bit insertions or deletions may occur which may in return cause error propagation. Hence, the difficulty of realizing the channel optimal distributions on constellation signals impeded OM from becoming widely utilized in communication systems. In this thesis, we propose a practical system for OM that uses only a simple padding scheme instead of the complex mechanisms in the current literature. A guess-based error correction demodulator lies at the core of the proposed system. Together with the padding scheme of our choice, our novel light-weight variant of Guessing Random Additive Noise Decoding (GRAND) demodulator protects the system against insertions and deletions. We display that with our approach an overall gain of up to 2 dB in energy per bit over noise spectral density (𝐸𝑏/𝑁0) is achievable compared to Quadrature Amplitude Modulation (QAM) with the same number of points. S.M. 2022-08-29T16:20:14Z 2022-08-29T16:20:14Z 2022-05 2022-06-21T19:25:39.149Z Thesis https://hdl.handle.net/1721.1/144908 In Copyright - Educational Use Permitted Copyright MIT http://rightsstatements.org/page/InC-EDU/1.0/ application/pdf Massachusetts Institute of Technology |
spellingShingle | Ozaydin, Basak GRAND-assisted Optimal Modulation |
title | GRAND-assisted Optimal Modulation |
title_full | GRAND-assisted Optimal Modulation |
title_fullStr | GRAND-assisted Optimal Modulation |
title_full_unstemmed | GRAND-assisted Optimal Modulation |
title_short | GRAND-assisted Optimal Modulation |
title_sort | grand assisted optimal modulation |
url | https://hdl.handle.net/1721.1/144908 |
work_keys_str_mv | AT ozaydinbasak grandassistedoptimalmodulation |