Comparison and Optimization of Enumerative Coding Techniques for Amplitude Shaping

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...

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Bibliographic Details
Published in:IEEE communications letters Vol. 25; no. 4; pp. 1231 - 1235
Main Authors: Gultekin, Yunus Can, van Houtum, Wim J., Koppelaar, Arie G. C., Willems, Frans M. J.
Format: Journal Article
Language:English
Published: New York IEEE 01.04.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Adaptive optics
Algorithms
Amplitudes
Coding
Encoding
Energy efficiency
Enumerative coding
Forward error correction
Indexes
OFDM
Optical transmitters
Optimization
Random noise
shaping
shell mapping
Signal to noise ratio
ISSN:1089-7798, 1558-2558
Online Access:Get full text
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Summary: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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ISSN:1089-7798
1558-2558
DOI:10.1109/LCOMM.2020.3044701