Polar Coded Quantization for Distributed Source Coding
Information Theory
2026-04-21 v1 math.IT
Abstract
Scalar quantization and probabilistic shaping are applied to the distributed source coding of Gaussian sources, with mean-square error distortion. A coding scheme with a modulo interval, dithering, and truncated Gaussian shaping is shown to achieve the corner points of the Berger-Tung region. The theory is illustrated by designing short-block-length multilevel 5G polar codes for Wyner-Ziv (WZ) polar coded quantization (PCQ). WZ-PCQ substantially reduces the total distortion compared to separate PCQ of the source blocks.
Cite
@article{arxiv.2604.18335,
title = {Polar Coded Quantization for Distributed Source Coding},
author = {Muhammed Yusuf Sener and Gerhard Kramer and Shlomo Shamai and Ronald Böhnke and Wen Xu},
journal= {arXiv preprint arXiv:2604.18335},
year = {2026}
}