🤖 AI Summary
This work addresses the problem of distributed source coding for Gaussian sources under mean squared error distortion by proposing a Wyner-Ziv Polar-Coded Quantization (WZ-PCQ) scheme designed to approach the corner point of the Berger–Tung region. The approach integrates scalar quantization, dithering, modulo-lattice operations, and truncated Gaussian probabilistic shaping, and—uniquely—incorporates short-block-length multilevel 5G polar codes into the Wyner–Ziv framework to enable jointly optimized polar coding. In contrast to conventional methods that process each source block independently, WZ-PCQ achieves significantly lower aggregate distortion and provides a tighter approximation to the theoretical performance bound.
📝 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.