English

Compound Arbitrarily Varying Channels

Information Theory 2021-05-10 v1 math.IT

Abstract

We propose a communication model, that we call compound arbitrarily varying channels (CAVC), which unifies and generalizes compound channels and arbitrarily varying channels (AVC). A CAVC can be viewed as a noisy channel with a fixed, but unknown, compound-state and an AVC-state which may vary with every channel use. The AVC-state is controlled by an adversary who is aware of the compound-state. We study three problems in this setting: 'communication', 'communication and compound-state identification', and 'communication or compound-state identification'. For these problems, we study conditions for feasibility and capacity under deterministic coding and random coding.

Keywords

Cite

@article{arxiv.2105.03420,
  title  = {Compound Arbitrarily Varying Channels},
  author = {Syomantak Chaudhuri and Neha Sangwan and Mayank Bakshi and Bikash Kumar Dey and Vinod M. Prabhakaran},
  journal= {arXiv preprint arXiv:2105.03420},
  year   = {2021}
}
R2 v1 2026-06-24T01:53:11.429Z