Mutual Information Rate of Gaussian and Truncated Gaussian Inputs on Intensity-Driven Signal Transduction Channels

TL;DR

This paper analyzes the mutual information rate of Gaussian inputs on intensity-driven signal transduction channels, providing asymptotic expressions, bounds, and numerical solutions with validated simulation results.

Contribution

It offers the first asymptotic expression and closed-form bounds for the mutual information rate in this channel, along with an approximate numerical solution.

Findings

Asymptotic expression for mutual information rate derived

Closed-form bounds for capacity-achieving parameters obtained

Simulation results confirm analysis accuracy

Abstract

In this letter, we investigate the mutual information rate (MIR) achieved by an independent identically distributed (IID) Gaussian input on the intensity-driven signal transduction channel. Specifically, the asymptotic expression of the continuous-time MIR is given. Next, aiming at low computational complexity, we also deduce an approximately numerical solution for this MIR. Moreover, the corresponding lower and upper bounds that can be used to find the capacity-achieving input distribution parameters are derived in closed-form. Finally, simulation results show the accuracy of our analysis.