Fluctuations of the Shannon capacity in a Raleigh model of wireless communication

TL;DR

This paper calculates the variance of the Shannon capacity in a Raleigh wireless communication model, showing that the expected capacity is representative due to its small coefficient of variation.

Contribution

It provides an explicit calculation of the capacity variance and demonstrates the typicality of the expected capacity in Raleigh models.

Findings

Variance of Shannon capacity calculated

Expected capacity is representative in the model

Coefficient of variation is small

Abstract

Using the fact that the Shannon capacity C of a Raleigh model of wireless channels is a linear statistic of the channel matrix, we calculate its variance var[C]. We find that the expected value <C> of the Shannon capacity is typical in the model considered, that is the coefficient of variation (var[C])^(1/2)/<C> is small.