Cascade and Triangular Source Coding with Side Information at the First Two Nodes

TL;DR

This paper characterizes the rate-distortion region for cascade and triangular source coding problems with side information at the encoder and first user, providing explicit solutions for the quadratic Gaussian case.

Contribution

It offers a complete characterization of the rate-distortion region and simplifies the Gaussian case to jointly Gaussian distributions for explicit solutions.

Findings

Rate-distortion region characterized for cascade and triangular setups.

Gaussian case reduces to jointly Gaussian distributions for explicit solutions.

Explicit solutions provided for quadratic Gaussian scenarios.

Abstract

We consider the cascade and triangular rate-distortion problem where side information is known to the source encoder and to the first user but not to the second user. We characterize the rate-distortion region for these problems. For the quadratic Gaussian case, we show that it is sufficient to consider jointly Gaussian distributions, a fact that leads to an explicit solution.