Comparison of Some Inter-Cell Interference Models for Cellular Networks (original) (raw)
Related papers
Comparison of Some Inter-Cell Interference Models for Cellualar Networks
International Journal of Wireless & Mobile Networks
In this paper we discuss and compare methods to analyse the influence inter-cell interference will have on coverage/outage probabilities in cellular networks. The framework is based on a common method to find the Laplace transform of the distribution of interference from neighbouring cells. It turns out that for Suzuki distributed fading the analysis is highly simplified. In case of Rayleigh faded channels only, the analysis is even more simplified. The modelling approach, which is based on classical probab ility methods, rather than on modern measure theory for point processes, allows for both fixed and stochastic locations of base stations. The different models are applied to quantify the effect of inter-cell interference on coverage/outage probabilities and on spectrum efficiencies in LTE networks. We consider several scenarios ranging from fixed hexagonal layout of base station to stochastic location of based on uniform distribution of base stations. We also extend the coverage/outage analysis for the Gin ibre Point Process to Suzuki faded environment. Numerical examples show large differences in both spectrum efficiency and coverage/outage probabilities for the different network scenarios considered.
arXiv (Cornell University), 2014
Interference shapes the interplay between capacity and coverage in cellular networks. However, interference is nondeterministic and depends on various system and channel parameters including user scheduling, frequency reuse, and fading variations. We present an analytical approach for modeling the distribution of intercell interference in the downlink of cellular networks as a function of generic fading channel models and various scheduling schemes. We demonstrate the usefulness of the derived expressions in calculating location-based and averagebased data rates in addition to capturing practical tradeoffs between cell capacity and coverage in downlink cellular networks.
On the statistics of uplink inter-cell interference with greedy resource allocation
2011 8th International Symposium on Wireless Communication Systems, 2011
In this paper, we introduce a new methodology to model the uplink inter-cell interference (ICI) in wireless cellular networks. The model takes into account both the effect of channel statistics (i.e., path loss, shadowing, fading) and the resource allocation scheme in the interfering cells. Firstly, we derive a semi-analytical expression for the distribution of the locations of the allocated user in a given cell considering greedy resource allocation with maximum signal-to-noise ratio (SNR) criterion. Based on this, we derive the distribution of the uplink ICI from one neighboring cell. Next, we compute the moment generating function (MGF) of the cumulative ICI observed from all neighboring cells and discuss some examples. Finally, we utilize the derived expressions to evaluate the outage probability in the network. In order to validate the accuracy of the developed semi-analytical expressions, we present comparison results with Monte Carlo simulations. The major benefit of the proposed mechanism is that it helps in estimating the distribution of ICI without the knowledge of instantaneous resource allocations in the neighbor cells. The proposed methodology applies to any shadowing and fading distributions. Moreover, it can be used to evaluate important network performance metrics numerically without the need for time-consuming Monte Carlo simulations.
EURASIP Journal on Wireless Communications and Networking, 2011
In this paper, we propose a methodology for estimating the statistics of the intercell interference power in the downlink of a multicellular network. We first establish an analytical expression for the probability law of the interference power when only Rayleigh multipath fading is considered. Next, focusing on a propagation environment where small-scale Rayleigh fading as well as large-scale effects, including attenuation with distance and lognormal shadowing, are taken into consideration, we elaborate a semi-analytical method to build up the histogram of the interference power distribution. From the results obtained for this combined small- and large-scale fading context, we then develop a statistical model for the interference power distribution. The interest of this model lies in the fact that it can be applied to a large range of values of the shadowing parameter. The proposed methods can also be easily extended to other types of networks.
Large-Scale Fading Behavior for a Cellular Network with Uniform Spatial Distribution
Wiley's Wireless Communications and Mobile Computing Journal, 2014
Large-scale fading (LSF) between interacting nodes is a fundamental element in radio communications, responsible for weakening the propagation, and thus worsening the service quality. Given the importance of channel-losses in general, and the inevitability of random spatial geometry in real-life wireless networks, it was then natural to merge these two paradigms together in order to obtain an improved stochastical model for the LSF indicator. Therefore, in exact closed-form notation, we generically derived the LSF distribution between a prepositioned reference base-station and an arbitrary node for a multicellular random network model. In fact, we provided an explicit and definitive formulation that considered at once: the lattice profile, the users' random geometry, the effect of the far-field phenomenon, the path-loss behavior, and the stochastic impact of channel scatters. The veracity and accuracy of the theoretical analysis were also confirmed through Monte Carlo simulations.
IEEE Transactions on Communications, 2013
In this paper, we introduce an analytical framework to compute the average rate of downlink heterogeneous cellular networks. The framework leverages recent application of stochastic geometry to other-cell interference modeling and analysis. The heterogeneous cellular network is modeled as the superposition of many tiers of Base Stations (BSs) having different transmit power, density, path-loss exponent, fading parameters and distribution, and unequal biasing for flexible tier association. A long-term averaged maximum biased-received-power tier association is considered. The positions of the BSs in each tier are modeled as points of an independent Poisson Point Process (PPP). Under these assumptions, we introduce a new analytical methodology to evaluate the average rate, which avoids the computation of the Coverage Probability (Pcov) and needs only the Moment Generating Function (MGF) of the aggregate interference at the probe mobile terminal. The distinguishable characteristic of our analytical methodology consists in providing a tractable and numerically efficient framework that is applicable to general fading distributions, including composite fading channels with small-and mid-scale fluctuations. In addition, our method can efficiently handle correlated Log-Normal shadowing with little increase of the computational complexity. The proposed MGFbased approach needs the computation of either a single or a twofold numerical integral, thus reducing the complexity of Pcov-based frameworks, which require, for general fading distributions, the computation of a four-fold integral.
A stochastic geometry analysis of inter-cell interference coordination and intra-cell diversity
Inter-cell interference coordination (ICIC) and intra-cell diversity (ICD) play important roles in improving cellular downlink coverage. Modeling cellular base stations (BSs) as a homogeneous Poisson point process (PPP), this paper provides explicit finite-integral expressions for the coverage probability with ICIC and ICD, taking into account the temporal/spectral correlation of the signal and interference. In addition, we show that in the high-reliability regime, where the user outage probability goes to zero, ICIC and ICD affect the network coverage in drastically different ways: ICD can provide order gain while ICIC only offers linear gain. In the high-spectral efficiency regime where the SIR threshold goes to infinity, the order difference in the coverage probability does not exist, however the linear difference makes ICIC a better scheme than ICD for realistic path loss exponents. Consequently, depending on the SIR requirements, different combinations of ICIC and ICD optimize the coverage probability.
Modeling Heterogeneous Network Interference Using Poisson Point Processes
IEEE Transactions on Signal Processing, 2000
Cellular systems are becoming more heterogeneous with the introduction of low power nodes including femtocells, relays, and distributed antennas. Unfortunately, the resulting interference environment is also becoming more complicated, making evaluation of different communication strategies challenging in both analysis and simulation. This paper suggests a simplified interference model for heterogeneous networks. Leveraging recent applications of stochastic geometry to analyze cellular systems, this paper proposes to analyze downlink performance in a fixed-size cell in what is called the hybrid approach. The interference field consists of a contribution from out-of-cell interferers modeled as a superposition of marked Poisson point processes outside a guard region and a cross-tier contribution modeled as a marked Poisson point process. The guard region is used to avoid association issues that would occur if an interferer were located at the cell edge. Bounding the interference power as a function of distance from the cell center, the total interference is characterized through its Laplace transform. An equivalent marked process is proposed for the out-of-cell interference under additional assumptions. To facilitate simplified calculations, the interference distribution is approximated using the Gamma distribution with second order moment matching. The Gamma approximation simplifies calculation of the success probability and ergodic rate, incorporates small-scale and large-scale fading, and works with co-tier and cross-tier interference. Simulations show that the guard region can be tuned to give a reasonable match with performance in a hexagonal grid, and that the Gamma approximation provides a good fit over most of the cell.
Remarks on a stochastic geometric model for interference-limited cellular communications
Indonesian journal of electrical engineering and computer science, 2024
A plethora of stochastic geometry (SG) models have been developed for cellular communications, especially in the context of internet of things (IoT) applications. A typical assumption in such models is that base stations (BS) are deployed in the Euclidean plane as a spatial poisson point process (PPP) of some density λ, with each communicating equipment transmitting at some power p. The usual objective of these models is to characterize the cellular coverage probability in both the downlink (DL) and uplink (UL) directions. In this article we expose, in the form of four remarks, the peculiar behavior of a baseline stochastic geometric model of an interference-limited cellular system. Specifically, we reveal that under some assumptions, the coverage probability in both the UL and DL directions for this system is independent of both λ and p, flagrantly contradicting intuition. The aim of the article is by no means to invalidate the use of SG in modeling communications systems, but rather to point out that such modeling may not be adequate all the time. This is an open access article under the CC BY-SA license.