REAL

SINR percolation for cox point processes with random powers

Jahnel, Benedikt and Tóbiás, András József (2022) SINR percolation for cox point processes with random powers. ADVANCES IN APPLIED PROBABILITY, 54 (1). pp. 227-253. ISSN 0001-8678

[img]
Preview
Text
sinr-percolation-for-cox-point-processes-with-random-powers.pdf

Download (535kB) | Preview

Abstract

Signal-to-interference-plus-noise ratio (SINR) percolation is an infinite-range dependent variant of continuum percolation modeling connections in a telecommunication network. Unlike in earlier works, in the present paper the transmitted signal powers of the devices of the network are assumed random, independent and identically distributed, and possibly unbounded. Additionally, we assume that the devices form a stationary Cox point process, i.e., a Poisson point process with stationary random intensity measure, in two or more dimensions. We present the following main results. First, under suitable moment conditions on the signal powers and the intensity measure, there is percolation in the SINR graph given that the device density is high and interferences are sufficiently reduced, but not vanishing. Second, if the interference cancellation factor ?? and the SINR threshold ?? satisfy ?? > 1/(2??), then there is no percolation for any intensity parameter. Third, in the case of a Poisson point process with constant powers, for any intensity parameter that is supercritical for the underlying Gilbert graph, the SINR graph also percolates with some small but positive interference cancellation factor.

Item Type: Article
Uncontrolled Keywords: Stabilization, Signal-to-interference ratio, Poisson point process, Boolean model, CoN; Random power, Cox point process, tinuum percolation, SINR percolation, Gilbert graph, degree bound
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 29 Jan 2024 13:52
Last Modified: 29 Jan 2024 13:52
URI: http://real.mtak.hu/id/eprint/186570

Actions (login required)

Edit Item Edit Item