Joint Wyner-Ziv/Dirty Paper coding by modulo-lattice modulation

TL;DR

This paper presents a novel modulo-lattice modulation scheme for the quadratic-Gaussian joint source-channel coding problem, merging Wyner-Ziv and Gel'fand-Pinsker coding to achieve optimal performance with reduced complexity and SNR robustness.

Contribution

It introduces an alternative, unified coding scheme that combines source and channel coding using modulo-lattice modulation, simplifying implementation and enhancing robustness.

Findings

Achieves optimal performance in quadratic-Gaussian joint source-channel coding.

Reduces complexity by eliminating quantization and channel decoding.

Provides SNR-independent encoding for high SNR scenarios.

Abstract

The combination of source coding with decoder side-information (Wyner-Ziv problem) and channel coding with encoder side-information (Gel'fand-Pinsker problem) can be optimally solved using the separation principle. In this work we show an alternative scheme for the quadratic-Gaussian case, which merges source and channel coding. This scheme achieves the optimal performance by a applying modulo-lattice modulation to the analog source. Thus it saves the complexity of quantization and channel decoding, and remains with the task of "shaping" only. Furthermore, for high signal-to-noise ratio (SNR), the scheme approaches the optimal performance using an SNR-independent encoder, thus it is robust to unknown SNR at the encoder.