
Modelling and analysis for two‐tier HCNs with co‐tier and cross‐tier separation dependencies
Author(s) -
Sinnen Meshal,
Li Kwok Hung,
Teh Kah Chan
Publication year - 2019
Publication title -
iet communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.355
H-Index - 62
eISSN - 1751-8636
pISSN - 1751-8628
DOI - 10.1049/iet-com.2018.5195
Subject(s) - macrocell , computer science , cellular network , base station , tier 2 network , separation (statistics) , computer network , machine learning
Heterogeneous cellular networks (HCNs) present an attractive solution to increased demands in mobile user capacity. Comprehensive studies have been conducted in stochastic geometric models that represent the relatively random placement of base transmitting stations (BTSs) operating at different power levels. This study considers the design of two‐tier HCNs for which picocell BTSs from the second tier are separated simultaneously from each other and from their tier‐1 macrocell counterparts. These separations, introduced in detail in the study, are termed the co‐tier and cross‐tier separations, with each parameter characterised by a minimum distance separation. Subsequently, expressions are obtained for distance distributions of BTSs from specific tiers to typical users, followed by conditional probabilities of association with each tier. We show that a minimum radius of association can be guaranteed for a tier‐2 BTS based on the values of co‐tier and cross‐tier separations. Furthermore, we analyse the Laplace transform of interference to the typical user and the resultant formulae for coverage probability, and by extension, area spectral efficiency. Numerical results demonstrating the effect of co‐tier and cross‐tier separation on these performance parameters support the analysis and provide insights into cell planning based on this concept.