Probabilistic Shaping and Non-Binary Codes
Joseph J. Boutros, Fanny Jardel, and Cyril M\'easson
TL;DR
This paper extends probabilistic amplitude shaping (PAS) to non-binary codes over prime finite fields, introducing new modulation schemes and shaping techniques for improved communication performance.
Contribution
It generalizes PAS from binary to non-binary codes over prime finite fields and designs CQAM schemes for direct application of full shaping.
Findings
Probabilistic shaping via time sharing applied to information symbols.
Design of CQAM for prime finite fields enabling direct generalization of PAS.
Enhanced modulation schemes for non-binary coding systems.
Abstract
We generalize probabilistic amplitude shaping (PAS) with binary codes to the case of non-binary codes defined over prime finite fields. Firstly, we introduce probabilistic shaping via time sharing where shaping applies to information symbols only. Then, we design circular quadrature amplitude modulations (CQAM) that allow to directly generalize PAS to prime finite fields with full shaping.
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Taxonomy
TopicsError Correcting Code Techniques · Cellular Automata and Applications · Coding theory and cryptography