The Sum-Rate-Distortion Region of Correlated Gauss-Markov Sources

TL;DR

This paper derives the theoretical sum-rate-distortion limits for correlated Gauss-Markov sources in low-delay video encoding, providing insights into optimal compression and bounds on achievable distortion.

Contribution

It explicitly characterizes the sum-rate-distortion region for multiple correlated Gauss-Markov sources and offers an upper bound on minimum distortion with incomplete source information.

Findings

Explicit sum-rate-distortion region derived for multiple sources

Upper bound on minimum distortion with missing sources

Extension of previous work by Ma and Ishwar

Abstract

Efficient low-delay video encoders are of fundamental importance to provide timely feedback in remotely controlled platforms such as drones. In order to fully understand the theoretical limits of low-delay video encoders, we consider an ideal differential predictive coded modulation (DPCM) encoder and provide the explicit derivation of the sum-rate-distortion region for a generic number of successive correlated Gauss-Markov sources along the line of the work by Ma and Ishwar. Furthermore, we provide an upper bound on the minimum distortion achievable in case an arbitrary number of sources are not available at the decoder.