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Achievable Information Rates for Probabilistic Amplitude Shaping: An Alternative Approach via Random Sign-Coding

Yunus Can Gültekin1, Alex Alvarado1, Frans M J Willems1

  • 1Information and Communication Theory Lab, Signal Processing Systems Group, Department of Electrical Engineering, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands.

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Summary
This summary is machine-generated.

Probabilistic amplitude shaping (PAS) combines constellation shaping and channel coding for efficient communication. This study offers new proofs for PAS achieving channel capacity using weak typicality and constructive random sign-coding arguments.

Keywords:
achievable information ratebit-metric decodingprobabilistic amplitude shapingrandom codingsymbol-metric decoding

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Area of Science:

  • Communications Engineering
  • Information Theory

Background:

  • Probabilistic amplitude shaping (PAS) integrates constellation shaping and channel coding.
  • PAS is a key strategy in wireless and optical communications.
  • Previous studies investigated achievable information rates (AIRs) using Gallager's error exponent approach.

Purpose of the Study:

  • To revisit and provide alternative proofs for the capacity-achieving property of PAS.
  • To derive AIRs for PAS using weak typicality.
  • To develop constructive proofs based on random sign-coding arguments.

Main Methods:

  • Utilizing weak typicality for deriving AIRs.
  • Employing constructive random sign-coding arguments, where some input signs are randomized and others are determined.
  • Considering both symbol-metric and bit-metric decoding schemes.

Main Results:

  • The study provides alternative, constructive proofs for PAS achieving the capacity of the additive white Gaussian noise channel.
  • New derivations of AIRs for PAS are presented using weak typicality.
  • The constructive approach offers insights into the practical implementation of PAS.

Conclusions:

  • PAS is confirmed to be a capacity-achieving modulation strategy.
  • The developed constructive proofs enhance the understanding of PAS's performance.
  • The findings are relevant for advancing high-performance communication systems.