A Fluid Model for Performance Analysis in Cellular Networks

Abstract

We propose a new framework to study the performance of cellular networks using a fluid model and we derive from this model analytical formulas for interference, outage probability, and spatial outage probability. The key idea of the fluid model is to consider the discrete base station (BS) entities as a continuum of transmitters that are spatially distributed in the network. This model allows us to obtain simple analytical expressions to reveal main characteristics of the network. In this paper, we focus on the downlink other-cell interference factor (OCIF), which is defined for a given user as the ratio of its outer cell received power to its inner cell received power. A closed-form formula of the OCIF is provided in this paper. From this formula, we are able to obtain the global outage probability as well as the spatial outage probability, which depends on the location of a mobile station (MS) initiating a new call. Our analytical results are compared to Monte Carlo simulations performed in a traditional hexagonal network. Furthermore, we demonstrate an application of the outage probability related to cell breathing and densification of cellular networks.

Network dimensioning and base station on/off switching strategies for sustainable deployments in remote areas

“…In this configuration, we assume that no interference is produced among communications assigned to different carriers since they use different frequencies, that is, the only interference is coming from communications in the same carrier. However, there are other works in the literature dealing with network planning that consider also inteference from other cells, such as [20], although this lies out of the scope of this paper.…”

“…In other words, (20) and (21) are the probabilities that a new incoming voice or data connection request cannot be accommodated since there is not enough power at the transmitter and/or because the maximum number of simultaneous connections has been reached.…”

Analytical performance model for Poisson wireless networks with pathloss and shadowing propagation

“…The fluid network model consists in replacing a given fixed finite number of transmitters by an equivalent continuous density of transmitters [14] [15]. Given an inter site distance 2R c , interferers are characterized by a density ρ BS of BS starting at a distance of 2R c from a BS (covering a zone of radius R c ), as illustrated on Fig.…”

Frequency-swapping aided femtocells in twin-layer cellular networks relying on fractional frequency reuse

“…Here we use the Fluid model of [11] to convert the discrete MBS interference into a continuum of transmitters, hence, L I1 may be formulated as:…”

“…Eq. (6) follows from the Fluid model presented in [11]. Futhermore, let us denote L I2 (·) by the Laplace transform of the Poissionian shot-noise process I 2 = j∈Ψ r −α c,j g j , which is given as:…”