Polar Coded Quantization for Distributed Source Coding
For distributed source coding applications, this work provides a practical polar code design that improves rate-distortion performance over separate coding.
The paper proposes a polar-coded quantization scheme for distributed source coding of Gaussian sources, achieving the corner points of the Berger-Tung region. The scheme reduces total distortion compared to separate quantization, demonstrated with short-block-length 5G polar codes.
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.