High-SIR Transmission Capacity of Wireless Networks with General Fading and Node Distribution

Abstract

In many wireless systems, interference is the main performance-limiting factor, and is primarily dictated by the locations of concurrent transmitters. In many earlier works, the locations of the transmitters is often modeled as a Poisson point process for analytical tractability. While analytically convenient, the PPP only accurately models networks whose nodes are placed independently and use ALOHA as the channel access protocol, which preserves the independence. Correlations between transmitter locations in non-Poisson networks, which model intelligent access protocols, makes the outage analysis extremely difficult. In this paper, we take an alternative approach and focus on an asymptotic regime where the density of interferers $\eta$ goes to 0. We prove for general node distributions and fading statistics that the success probability $\p \sim 1-γη^κ$ for $\eta \to 0$, and provide values of $\gamma$ and $\kappa$ for a number of important special cases. We show that $\kappa$ is lower bounded by 1 and upper bounded by a value that depends on the path loss exponent and the fading. This new analytical framework is then used to characterize the transmission capacity of a very general class of networks, defined as the maximum spatial density of active links given an outage constraint.

Submitted to IEEE Trans. Info Theory special issue

Cited by in corpus (9)

• Modeling and Analysis of Cellular Networks using Stochastic Geometry: A Tutorial
• The Outage Probability of a Finite Ad Hoc Network in Nakagami Fading
• Dual-Branch MRC Receivers under Spatial Interference Correlation and Nakagami Fading
• On Interference Dynamics in Matérn Networks
• Analysis of a Cooperative Strategy for a Large Decentralized Wireless Network
• Interference and Throughput in Aloha-based Ad Hoc Networks with Isotropic Node Distribution
• Performance of Multi-Antenna MMSE Receivers in Non-homogeneous Poisson Networks
• Performance of Multiantenna Linear MMSE Receivers in Doubly Stochastic Networks
• Transport Capacity of Distributed Wireless CSMA Networks