Interference Functionals in Poisson Networks
arXiv:1409.8580 · doi:10.1109/TIT.2015.2501799
Abstract
We propose and prove a theorem that allows the calculation of a class of functionals on Poisson point processes that have the form of expected values of sum-products of functions. In proving the theorem, we present a variant of the Campbell-Mecke theorem from stochastic geometry. We proceed to apply our result in the calculation of expected values involving interference in wireless Poisson networks. Based on this, we derive outage probabilities for transmissions in a Poisson network with Nakagami fading. Our results extend the stochastic geometry toolbox used for the mathematical analysis of interference-limited wireless networks.
References in corpus (4)
- Effect of Spatial Interference Correlation on the Performance of Maximum Ratio Combining
- Dual-Branch MRC Receivers under Spatial Interference Correlation and Nakagami Fading
- Equivalence and comparison of heterogeneous cellular networks
- Cooperative Relaying in Wireless Networks under Spatially and Temporally Correlated Interference
Cited by in corpus (8)
- Auto-Correlation and Coherence Time of Interference in Poisson Networks
- On Interference Dynamics in Matérn Networks
- Spatial networks with wireless applications
- Stochastic Geometry Analysis of Spatial-Temporal Performance in Wireless Networks: A Tutorial
- Outage Correlation in Finite and Clustered Wireless Networks
- Location, location, location: Border effects in interference limited ad hoc networks
- Downlink coverage probability in cellular networks with Poisson-Poisson cluster deployed base stations
- Unified Analysis of HetNets using Poisson Cluster Process under Max-Power Association