Lossy Transmission of Correlated Sources over Two-Way Channels

TL;DR

This paper investigates the limits and optimal coding strategies for transmitting correlated sources over two-way channels, establishing theoretical bounds and analyzing scalar coding performance for specific noise models.

Contribution

It provides a joint source-channel coding theorem for certain two-way channels and assesses the optimality of scalar coding for specific noise types.

Findings

Scalar coding achieves minimum distortion for independent, uniformly distributed sources.

Scalar coding is optimal for additive white Gaussian noise channels.

The paper establishes achievability and converse bounds for lossy transmission over two-way channels.

Abstract

Achievability and converse results for the lossy transmission of correlated sources over Shannon's two-way channels (TWCs) are presented. A joint source-channel coding theorem for independent sources and TWCs for which adaptation cannot enlarge the capacity region is also established. We further investigate the optimality of scalar coding for TWCs with discrete modulo additive noise as well as additive white Gaussian noise. Comparing the distortion of scalar coding with the derived bounds, we observe that scalar coding achieves the minimum distortion over both families of TWCs for independent and uniformly distributed sources and independent Gaussian sources.