Information Theoretic Exemplification of the Impact of Transmitter-Receiver Cognition on the Channel Capacity

TL;DR

This paper explores how transmitter and receiver cognition, modeled as state information, influence channel capacity, deriving a capacity theorem that quantifies the capacity increase due to receiver cognition and generalizes Costa's theorem.

Contribution

It introduces a new capacity theorem accounting for receiver cognition as state information, extending the Gaussian Cover-Chiang framework and encompassing Costa's theorem as a special case.

Findings

Receiver cognition increases channel capacity.

Derived a capacity theorem for two-sided state information channels.

The theorem generalizes Costa's capacity result.

Abstract

In this paper, we study, information theoretically, the impact of transmitter and or receiver cognition on the channel capacity. The cognition can be described by state information, dependent on the channel noise and or input. Specifically, as a new idea, we consider the receiver cognition as a state information dependent on the noise and we derive a capacity theorem based on the Gaussian version of the Cover-Chiang capacity theorem for two-sided state information channel. As intuitively expected, the receiver cognition increases the channel capacity and our theorem shows this increase quantitatively. Also, our capacity theorem includes the famous Costa theorem as its special cases.