Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Equivalence and comparison of heterogeneous cellular networks

Bartlomiej Blaszczyszyn 1 Holger Paul Keeler 1
1 TREC - Theory of networks and communications
DI-ENS - Département d'informatique de l'École normale supérieure, Inria Paris-Rocquencourt
Abstract : We consider a general heterogeneous network in which, besides a general propagation effects (shadowing and-or fading), individual base stations may use different emitted powers and be subject to different parameters of the Hata-like propagation loss model (path-loss exponent and constant), e.g. due to different antenna heights. We assume also that the stations may have various and different engineering parameters, e.g. of link layer performance (SINR threshold, etc). Studying a 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 of BS, may be equivalent from the point of view a typical user characteristics. Furthermore, they all can be replaced with a model where all the previously variable propagation parameters (including path-loss exponent) 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 becomes just a homogeneous modification of the constant intensity of the original network, thus generalizing a previous result showing that the propagation processes only depend on some 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 power exponents.
Complete list of metadatas
Contributor : H. Paul Keeler <>
Submitted on : Tuesday, June 4, 2013 - 2:13:18 PM
Last modification on : Thursday, September 17, 2020 - 12:29:07 PM
Long-term archiving on: : Tuesday, April 4, 2017 - 4:04:13 PM


Files produced by the author(s)


  • HAL Id : hal-00830098, version 1
  • ARXIV : 1306.0772


Bartlomiej Blaszczyszyn, Holger Paul Keeler. Equivalence and comparison of heterogeneous cellular networks. 2013. ⟨hal-00830098v1⟩