Comparison and Optimization of Enumerative Coding Techniques for Amplitude Shaping

Yunus Can Gultekin; Wim J. Van Houtum; Arie Koppelaar; Frans M.J. Willems

doi:10.1109/LCOMM.2020.3044701

Comparison and Optimization of Enumerative Coding Techniques for Amplitude Shaping

Yunus Can Gultekin (Corresponding author), Wim J. Van Houtum, Arie Koppelaar, Frans M.J. Willems

Research output: Contribution to journal › Article › Academic › peer-review

7 Citations (Scopus)

Abstract

The energy efficiency of enumerative coding algorithms is investigated for amplitude shaping in the context of binary transmission. First, a simple method for the calculation of the amplitude distribution is derived for enumerative sphere shaping (ESS). For ultra-short blocklengths, ESS—which orders sequences lexicographically—is shown to be less energy-efficient than algorithms that use energy-based ordering such as shell mapping. Second, ESS is optimized heuristically such that its energy efficiency is improved. Simulations show that optimized ESS achieves the same error probabilities as energy-based ordering methods for the additive white Gaussian noise (AWGN) channel, even at ultra-short blocklengths.

Original language	English
Article number	9293261
Pages (from-to)	1231-1235
Number of pages	5
Journal	IEEE Communications Letters
Volume	25
Issue number	4
Early online date	14 Dec 2020
DOIs	https://doi.org/10.1109/LCOMM.2020.3044701
Publication status	Published - Apr 2021

Keywords

Adaptive optics
Encoding
Enumerative Coding
Forward error correction
Indexes
OFDM
Optical transmitters
Shaping
Shell Mapping
Signal to noise ratio

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1109/LCOMM.2020.3044701

Cite this

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abstract = "The energy efficiency of enumerative coding algorithms is investigated for amplitude shaping in the context of binary transmission. First, a simple method for the calculation of the amplitude distribution is derived for enumerative sphere shaping (ESS). For ultra-short blocklengths, ESS—which orders sequences lexicographically—is shown to be less energy-efficient than algorithms that use energy-based ordering such as shell mapping. Second, ESS is optimized heuristically such that its energy efficiency is improved. Simulations show that optimized ESS achieves the same error probabilities as energy-based ordering methods for the additive white Gaussian noise (AWGN) channel, even at ultra-short blocklengths.",

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AU - Willems, Frans M.J.

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KW - Encoding

KW - Enumerative Coding

KW - Forward error correction

KW - Indexes

KW - OFDM

KW - Optical transmitters

KW - Shaping

KW - Shell Mapping

KW - Signal to noise ratio

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Comparison and Optimization of Enumerative Coding Techniques for Amplitude Shaping

Abstract

Keywords

UN SDGs

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Low-complexity Enumerative Coding Techniques with Applications to Amplitude Shaping

Enumerative sphere shaping for wireless communications with short packets

Enumerative sphere shaping techniques for short blocklength wireless communications

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