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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Bibliographic Details
Main Author: Ozaydin, Basak
Other Authors: Médard, Muriel
Format: Thesis
Published: Massachusetts Institute of Technology 2022
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.
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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