Level Crossing Rates of Interference in Cognitive Radio Networks

TL;DR

This paper analyzes the fluctuations of interference signals in cognitive radio networks by deriving and verifying analytical formulas for level crossing rates under Rayleigh and Rician fading conditions, aiding in interference management.

Contribution

It provides new analytical expressions for interference level crossing rates in Rayleigh and Rician fading, verified through simulations, enhancing understanding of interference dynamics in cognitive radios.

Findings

Derived formulas for level crossing rates in Rayleigh and Rician fading.

Validated analytical results with Monte Carlo simulations.

Applied analysis to a specific cognitive radio allocation strategy.

Abstract

The future deployment of cognitive radios is critically dependent on the fact that the incumbent primary user system must remain as oblivious as possible to their presence. This in turn heavily relies on the fluctuations of the interfering cognitive radio signals. In this letter we compute the level crossing rates of the cumulative interference created by the cognitive radios. We derive analytical formulae for the level crossing rates in Rayleigh and Rician fast fading conditions. We approximate Rayleigh and Rician level crossing rates using fluctuation rates of gamma and scaled noncentral $\chi^2$ processes respectively. The analytical results and the approximations used in their derivations are verified by Monte Carlo simulations and the analysis is applied to a particular CR allocation strategy.