Hierarchical Joint Source-Channel Coding with Constrained Information Leakage

TL;DR

This paper explores hierarchical joint source-channel coding with constraints on information leakage, considering varying receiver side information and multi-phase transmission to optimize performance while controlling leakage.

Contribution

It provides general bounds and capacity conditions for achieving specific distortion and leakage pairs in hierarchical coding with phased transmission.

Findings

Derived inner and outer bounds for distortion-leakage pairs.

Established capacity-achieving conditions for the coding scheme.

Analyzed the impact of side information quality on coding performance.

Abstract

This paper studies the hierarchical joint source-channel coding with information leakage constraint in the first-phase reconstruction and distortion constraints. The receiver's access to the data varies and is evaluated by the quality of the side information. Due to the consideration of channel capacity limitation or the efficiency of the system performance, the encoder may send some additional information in Phase 1 that can only be decoded in Phase 2 with higher-quality side information. While this can optimize the overall performance, the additional information causes excessive information leakage. We provide general inner and outer bounds for the conditions such that a given distortion-leakage pair $(D_1,D_2,L)$ is achievable, together with a capacity-achieving condition.