Equivalence and comparison of heterogeneous cellular networks

Abstract

We consider a general heterogeneous network in which, besides general propagation effects (shadowing and/or fading), individual base stations can have different emitting powers and be subject to different parameters of Hata-like path-loss models (path-loss exponent and constant) due to, for example, varying antenna heights. We assume also that the stations may have varying parameters of, for example, the link layer performance (SINR threshold, etc). By studying the propagation processes of signals received by the typical user from all antennas marked by the corresponding antenna parameters, we show that seemingly different heterogeneous networks based on Poisson point processes can be equivalent from the point of view a typical user. These neworks can be replaced with a model where all the previously varying propagation parameters (including path-loss exponents) are set to constants while the only trade-off being the introduction of an isotropic base station density. This allows one to perform analytic comparisons of different network models via their isotropic representations. In the case of a constant path-loss exponent, the isotropic representation simplifies to a homogeneous modification of the constant intensity of the original network, thus generalizing a previous result showing that the propagation processes only depend on one moment of the emitted power and propagation effects. We give examples and applications to motivate these results and highlight an interesting observation regarding random path-loss exponents.

Cited by in corpus (19)

• A Primer on Cellular Network Analysis Using Stochastic Geometry
• Analysis of the Decoupled Access for Downlink and Uplink in Wireless Heterogeneous Networks
• A Comprehensive Analysis of 5G Heterogeneous Cellular Systems operating over $\kappa$-$\mu$ Shadowed Fading Channels
• Interference Functionals in Poisson Networks
• Energy Efficiency of Distributed Signal Processing in Wireless Networks: A Cross-Layer Analysis
• The Effects of Mobility on the Hit Performance of Cached D2D Networks
• Performance laws of large heterogeneous cellular networks
• Analyzing the Impact of Access Point Density on the Performance of Finite-Area Networks
• SINR in wireless networks and the two-parameter Poisson-Dirichlet process
• Interference and SINR coverage in spatial non-slotted Aloha networks
• Cell planning for mobility management in heterogeneous cellular networks
• Spatial multi-LRU: Distributed Caching for Wireless Networks with Coverage Overlaps
• Successive Interference Cancellation in Heterogeneous Cellular Networks
• Vehicle-to-Vehicle Communications with Urban Intersection Path Loss Models
• Analyzing LoRa long-range, low-power, wide-area networks using stochastic geometry
• Fine-Grained Reliability for V2V Communications around Suburban and Urban Intersections
• Efficiency Analysis of Decoupled Downlink and Uplink Access in Heterogeneous Networks
• Analyzing Dependent Placements of Small Cells in a Two-Layer Heterogeneous Network with a Rate Coverage Constraint
• How user throughput depends on the traffic demand in large cellular networks