On the Capacity of Scalar Gaussian Channels Subject to State Obfuscation

Abstract

The problem of communication over multiple variants of the scalar Gaussian fading channel subject to a state-obfuscation constraint imposed in the form of near independence between the channel outputs and the channel coefficients has been studied. By defining the operational capacity as the maximal achievable rate under the state obfuscation constraint, an informational counterpart is been derived, which is then proved to coincide with the operational capacity. Conditions for this capacity to be non-zero and closed-form solutions for that capacity in the high signal-to-noise ratio (SNR) limit are derived.