Polar Coded Quantization for Distributed Source Coding

TL;DR

This paper introduces a polar coded quantization scheme for distributed Gaussian source coding, achieving optimal rate-distortion points and demonstrating significant distortion reduction with short-block-length 5G polar codes.

Contribution

It proposes a novel polar coding-based quantization method for distributed source coding that attains the Berger-Tung region corner points and improves distortion performance.

Findings

Achieves corner points of the Berger-Tung region.

Substantially reduces total distortion with WZ-PCQ.

Designs short-block-length 5G polar codes for Wyner-Ziv coding.

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.