Coding and Decoding in High Photon Information Efficiency Systems

This article introduces a novel method to encode and decode large codeblocks across an optical channel operating in the high photon information efficiency (HPIE) regime using high-order pulse position modulation (PPM). Our approach relies on modular coding with a sparse matrix of circularly overlapp...

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Published in:Journal of lightwave technology Vol. 43; no. 19; pp. 9117 - 9127
Main Authors: Ozaydin, Basak, Medard, Muriel, Duffy, Ken R.
Format: Journal Article
Language:English
Published: New York IEEE 01.10.2025
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Adaptive optics
Channel models
Codes
Decoding
Efficiency
Encoding-Decoding
erasures
Error reduction
Free electron lasers
Gaussian elimination
High photon efficiency
Laser modes
Optical receivers
Optical saturation
Photonics
Photons
Pulse position modulation
Sparse matrices
Symbols
ISSN:0733-8724, 1558-2213
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Abstract This article introduces a novel method to encode and decode large codeblocks across an optical channel operating in the high photon information efficiency (HPIE) regime using high-order pulse position modulation (PPM). Our approach relies on modular coding with a sparse matrix of circularly overlapping modular blocks. The decoding is tailored to the mix of high erasures associated with high PPM in HPIE, and occasional errors. The erasures are handled by Gauss-Jordan elimination, and the errors by using guesswork on PPM substitution errors. We compare the performance complexity of our scheme with Berlekamp Massey decoding of Reed Solomon codes, which constitute the state-of-the-art in HPIE with PPM. Our encoding/decoding approach achieves the same block error rate while reducing the number of operations needed to decode by orders of magnitude compared to the Berlekamp Massey decoding. The gains grow as the efficiency of the channel, which leads to higher order of the PPM, increases. Hence, our approach offers a scalable and flexible solution to the HPIE channels.
AbstractList This article introduces a novel method to encode and decode large codeblocks across an optical channel operating in the high photon information efficiency (HPIE) regime using high-order pulse position modulation (PPM). Our approach relies on modular coding with a sparse matrix of circularly overlapping modular blocks. The decoding is tailored to the mix of high erasures associated with high PPM in HPIE, and occasional errors. The erasures are handled by Gauss-Jordan elimination, and the errors by using guesswork on PPM substitution errors. We compare the performance complexity of our scheme with Berlekamp Massey decoding of Reed Solomon codes, which constitute the state-of-the-art in HPIE with PPM. Our encoding/decoding approach achieves the same block error rate while reducing the number of operations needed to decode by orders of magnitude compared to the Berlekamp Massey decoding. The gains grow as the efficiency of the channel, which leads to higher order of the PPM, increases. Hence, our approach offers a scalable and flexible solution to the HPIE channels.
Author Medard, Muriel
Duffy, Ken R.
Ozaydin, Basak
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  surname: Duffy
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  email: k.duffy@northeastern.edu
  organization: Northeastern University, Boston, MA, USA
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SubjectTerms Adaptive optics
Channel models
Codes
Decoding
Efficiency
Encoding-Decoding
erasures
Error reduction
Free electron lasers
Gaussian elimination
High photon efficiency
Laser modes
Optical receivers
Optical saturation
Photonics
Photons
Pulse position modulation
Sparse matrices
Symbols
Title Coding and Decoding in High Photon Information Efficiency Systems
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https://www.proquest.com/docview/3251515407
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