Outage Probability and Capacity for Two-Tier Femtocell Networks by Approximating Ratio of Rayleigh and Log Normal Random Variables

TL;DR

This paper derives outage probability and capacity expressions for two-tier femtocell networks, using approximations of ratios of Rayleigh and log-normal random variables to analyze system performance.

Contribution

It introduces novel approximations for ratios of Rayleigh and log-normal RVs to simplify outage probability and capacity analysis in femtocell networks.

Findings

Derived simplified outage probability expressions verified by simulations

Analyzed system capacity under outage constraints

Provided insights into outdoor and indoor link performance

Abstract

This paper presents the derivation for per-tier outage probability of a randomly deployed femtocell network over an existing macrocell network. The channel characteristics of macro user and femto user are addressed by considering different propagation modeling for outdoor and indoor links. Location based outage probability analysis and capacity of the system with outage constraints are used to analyze the system performance. To obtain the simplified expressions, approximations of ratios of Rayleigh random variables (RVs), Rayleigh to log normal RVs and their weighted summations, are derived with the verifications using simulations.