Neveu’s Exchange Formula for Analysis of Wireless Networks With Hotspot Clusters
Theory of point processes, in particular Palm calculus within the stationary framework, plays a fundamental role in the analysis of spatial stochastic models of wireless communication networks. Neveu’s exchange formula, which connects the respective Palm distributions for two jointly stationary poin...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2022-06-01
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| Series: | Frontiers in Communications and Networks |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/articles/10.3389/frcmn.2022.885749/full |
| _version_ | 1811237078642458624 |
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| author | Naoto Miyoshi |
| author_facet | Naoto Miyoshi |
| author_sort | Naoto Miyoshi |
| collection | DOAJ |
| description | Theory of point processes, in particular Palm calculus within the stationary framework, plays a fundamental role in the analysis of spatial stochastic models of wireless communication networks. Neveu’s exchange formula, which connects the respective Palm distributions for two jointly stationary point processes, is known as one of the most important results in the Palm calculus. However, its use in the analysis of wireless networks seems to be limited so far and one reason for this may be that the formula in a well-known form is based upon the Voronoi tessellation. In this paper, we present an alternative form of Neveu’s exchange formula, which does not rely on the Voronoi tessellation but includes the one as a special case. We then demonstrate that our new form of the exchange formula is useful for the analysis of wireless networks with hotspot clusters modeled using cluster point processes. |
| first_indexed | 2024-04-12T12:19:56Z |
| format | Article |
| id | doaj.art-5c0feb0d1d8448bcb051eb660c5bd0c0 |
| institution | Directory Open Access Journal |
| issn | 2673-530X |
| language | English |
| last_indexed | 2024-04-12T12:19:56Z |
| publishDate | 2022-06-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Communications and Networks |
| spelling | doaj.art-5c0feb0d1d8448bcb051eb660c5bd0c02022-12-22T03:33:19ZengFrontiers Media S.A.Frontiers in Communications and Networks2673-530X2022-06-01310.3389/frcmn.2022.885749885749Neveu’s Exchange Formula for Analysis of Wireless Networks With Hotspot ClustersNaoto MiyoshiTheory of point processes, in particular Palm calculus within the stationary framework, plays a fundamental role in the analysis of spatial stochastic models of wireless communication networks. Neveu’s exchange formula, which connects the respective Palm distributions for two jointly stationary point processes, is known as one of the most important results in the Palm calculus. However, its use in the analysis of wireless networks seems to be limited so far and one reason for this may be that the formula in a well-known form is based upon the Voronoi tessellation. In this paper, we present an alternative form of Neveu’s exchange formula, which does not rely on the Voronoi tessellation but includes the one as a special case. We then demonstrate that our new form of the exchange formula is useful for the analysis of wireless networks with hotspot clusters modeled using cluster point processes.https://www.frontiersin.org/articles/10.3389/frcmn.2022.885749/fullstationary point processesPalm calculusNeveu’s exchange formulacluster point processesdevice-to-device networkshotspot clusters |
| spellingShingle | Naoto Miyoshi Neveu’s Exchange Formula for Analysis of Wireless Networks With Hotspot Clusters Frontiers in Communications and Networks stationary point processes Palm calculus Neveu’s exchange formula cluster point processes device-to-device networks hotspot clusters |
| title | Neveu’s Exchange Formula for Analysis of Wireless Networks With Hotspot Clusters |
| title_full | Neveu’s Exchange Formula for Analysis of Wireless Networks With Hotspot Clusters |
| title_fullStr | Neveu’s Exchange Formula for Analysis of Wireless Networks With Hotspot Clusters |
| title_full_unstemmed | Neveu’s Exchange Formula for Analysis of Wireless Networks With Hotspot Clusters |
| title_short | Neveu’s Exchange Formula for Analysis of Wireless Networks With Hotspot Clusters |
| title_sort | neveu s exchange formula for analysis of wireless networks with hotspot clusters |
| topic | stationary point processes Palm calculus Neveu’s exchange formula cluster point processes device-to-device networks hotspot clusters |
| url | https://www.frontiersin.org/articles/10.3389/frcmn.2022.885749/full |
| work_keys_str_mv | AT naotomiyoshi neveusexchangeformulaforanalysisofwirelessnetworkswithhotspotclusters |