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About this paper
Xinyang Li, Yiqi Chen, Vlad C. Andrei, Aladin Djuhera, Ullrich J. Mönich, Holger Boche
A backward simultaneous-decoding framework is developed for communication systems that must recover messages while estimating channel states from strictly causal, possibly noisy transmitter observations. The approach exactly characterizes the point-to-point capacity–distortion trade-off and yields improved achievable regions for degraded broadcast and multiple-access channels, including ISAC interpretations.
Key insights
- For the point-to-point channel, simultaneous decoding achieves the exact capacity–distortion function, with the state-compression penalty appearing as I(V;S_T|X,Y).
- In degraded broadcast channels, a state description decoded for the weaker receiver can also help the stronger receiver decode its private codeword, explaining why simultaneous decoding strictly contains the sequential region in some cases.
- State descriptions are not merely sensing overhead: in multiple-access and binary examples, decoded descriptions can improve message rates, support encoder cooperation, and even enable zero-distortion state reconstruction.
Summary by alphaXiv.
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