Capacity of Block-Memoryless Channels with Causal Channel Side Information

TL;DR

This paper derives the capacity of a time-varying block-memoryless channel with noisy causal side information at both transmitter and receiver, generalizing previous results to cases with different CSI at each end.

Contribution

It provides a new capacity formula for channels with possibly different noisy causal CSI at transmitter and receiver, extending prior deterministic CSI results.

Findings

Derived a general capacity formula for channels with noisy causal CSI

Reduced to known capacity formula in special deterministic case

Enhances understanding of channel capacity with asymmetric side information

Abstract

The capacity of a time-varying block-memoryless channel in which the transmitter and the receiver have access to (possibly different) noisy causal channel side information (CSI) is obtained. It is shown that the capacity formula obtained in this correspondence reduces to the capacity formula reported in \cite{Gold07} for the special case where the transmitter CSI is a deterministic function of the receiver CSI.