Optimal Non-Uniform Mapping for Probabilistic Shaping

Georg Böcherer

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arXiv · 1208.1116

Optimal Non-Uniform Mapping for Probabilistic Shaping

Georg Böcherer

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Abstract

The construction of optimal non-uniform mappings for discrete input memoryless channels (DIMCs) is investigated. An efficient algorithm to find optimal mappings is proposed and the rate by which a target distribution is approached is investigated. The results are applied to non-uniform mappings for additive white Gaussian noise (AWGN) channels with finite signal constellations. The mappings found by the proposed methods outperform those obtained via a central limit theorem approach as suggested in the literature.

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Georg Böcherer. 2014-07-07. Optimal Non-Uniform Mapping for Probabilistic Shaping. https://arxiv.org/abs/1208.1116

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