Average distortion constraints for joint identification and sensing

Extend the analysis of joint identification and sensing over state-dependent discrete memoryless channels with noisy strictly causal feedback to average distortion constraints across channel uses, replacing the current per-symbol distortion requirement.

Background

The paper imposes a per-symbol distortion constraint on the state estimator at the transmitter. While this simplifies analysis, many sensing and estimation formulations consider average distortion across blocks, which can lead to different coding and estimation strategies.

Generalizing the results to average distortion constraints would align the model with broader information-theoretic formulations and may change the achievable capacity–distortion tradeoff under noisy feedback.

References

Several directions remain open. It is also of interest to study other non-ideal feedback models, such as rate-limited or delayed feedback, and to extend the analysis from per-symbol to average distortion constraints.

— Joint Identification and Sensing with Noisy Feedback: A Task-Oriented Communication Framework for 6G  (2603.29649 - Zhao et al., 31 Mar 2026) in Section 6 (Conclusion)