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arXiv · 1907.12066

Finite-Precision Implementation of Arithmetic Coding Based Distribution Matchers

Marcin Pikus·Wen Xu·Gerhard Kramer
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Abstract

A distribution matcher (DM) encodes a binary input data sequence into a sequence of symbols with a desired target probability distribution. Several DMs, including shell mapping and constant-composition distribution matcher (CCDM), have been successfully employed for signal shaping, e.g., in optical-fiber or 5G. The CCDM, like many other DMs, is typically implemented by arithmetic coding (AC). In this work we implement AC based DMs using finite-precision arithmetic (FPA). An analysis of the implementation shows that FPA results in a rate-loss that shrinks exponentially with the number of precision bits. Moreover, a relationship between the CCDM rate and the number of precision bits is derived.

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Marcin Pikus, Wen Xu, Gerhard Kramer. 2019-07-28. Finite-Precision Implementation of Arithmetic Coding Based Distribution Matchers. https://arxiv.org/abs/1907.12066

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