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Achievable Rates for Probabilistic Shaping

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arxiv 1707.01134 v5 pith:YSNMROQ2 submitted 2017-07-04 cs.IT math.IT

classification cs.ITmath.IT
keywords achievabledecodinglayeredprobabilisticratesshapingachievedamplitude
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For a layered probabilistic shaping (PS) scheme with a general decoding metric, an achievable rate is derived using Gallager's error exponent approach and the concept of achievable code rates is introduced. Several instances for specific decoding metrics are discussed, including bit-metric decoding, interleaved coded modulation, and hard-decision decoding. It is shown that important previously known achievable rates can also be achieved by layered PS. A practical instance of layered PS is the recently proposed probabilistic amplitude shaping (PAS).

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. End-to-End Learning of Probabilistic Constellation Shaping through Importance Sampling

    cs.IT 2025-06 conditional novelty 6.0 of 10

    Importance-sampling weighted loss functions enable autoencoder-based probabilistic constellation shaping with exact automatic-differentiation gradients, matching prior methods in AWGN and IM/DD simulations.

  2. Joint Detection and Decoding: A Graph Neural Network Approach

    cs.IT 2025-01 conditional novelty 6.0 of 10

    Graph neural networks operating on channel factor graphs and code Tanner graphs achieve near-optimal detection and joint detection and decoding on ISI channels, outperforming feasible classical baselines.

  3. On Product Codes with Probabilistic Amplitude Shaping for High-Throughput Fiber-Optic Systems

    cs.IT 2019-08 conditional novelty 5.0 of 10

    Probabilistic amplitude shaping with product codes and hard-decision decoding achieves up to 2.7 dB gain and 1 bpcu spectral efficiency improvement over uniform signaling, with component-code parameters constrained by...

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