A Direct Approach to Computing Spatially Averaged Outage Probability

• Published in: IEEE communications letters Vol. 18; no. 7; pp. 1103 - 1106
• Main Authors: Valenti, Matthew C., Torrieri, Don, Talarico, Salvatore
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.07.2014; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied classical electromagnetism; Applied sciences; Diffraction, scattering, reflection; Electromagnetic wave propagation, radiowave propagation; Electromagnetism; electron and ion optics; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Interference; Physics; Radiocommunications; Radiowave propagation; Rayleigh channels; Receivers; Shape; Signal to noise ratio; Telecommunications; Telecommunications and information theory; Wireless networks; stochastic geometry; interference modeling; fading; Outage probability; point processes; Outage; Modeling; Poisson process; Direct method; Electromagnetic wave propagation; Point process; Electromagnetic wave attenuation; Laplace transformation; Rayleigh fading
• ISSN: 1089-7798; 1558-2558
• DOI: 10.1109/LCOMM.2014.2317740

This letter describes a direct method for computing the spatially averaged outage probability of a network with interferers located according to a point process and signals subject to fading. Unlike most common approaches, it does not require transforms such as a Laplace transform. Examples show how to directly obtain the outage probability in the presence of Rayleigh fading in networks whose interferers are drawn from binomial and Poisson point processes defined over arbitrary regions. We furthermore show that, by extending the arbitrary region to the entire plane, the result for Poisson point processes converges to the same expression found by Baccelli et al.