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Compound Arbitrarily Varying Channels (2105.03420v1)
Published 7 May 2021 in cs.IT and 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.