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.

翻译：针对高斯分布式信源编码，采用标量量化与概率整形技术，以均方误差为失真度量。研究表明，结合模区间、抖动与截断高斯整形的编码方案可达到Berger-Tung区域角点。通过设计面向Wyner-Ziv(WZ)极化编码量化(PCQ)的短块长多级5G极化码验证了理论性能。与对源块进行独立PCQ相比，WZ-PCQ显著降低了整体失真。