Approximation for probability of coverage in softly inhibitive cellular networks
Abstract The Strauss point process is a very popular model for describing the random cellular networks, yet several key statistical properties such as intensity, empty space function, and probability generating functional have remained elusive. This article addresses these issues by first leveraging...
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| Format: | Article |
| Language: | English |
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Wiley
2024-09-01
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| Series: | Electronics Letters |
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| Online Access: | https://doi.org/10.1049/ell2.70005 |
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| author | Chunlin Chen |
| author_facet | Chunlin Chen |
| author_sort | Chunlin Chen |
| collection | DOAJ |
| description | Abstract The Strauss point process is a very popular model for describing the random cellular networks, yet several key statistical properties such as intensity, empty space function, and probability generating functional have remained elusive. This article addresses these issues by first leveraging the Poisson saddle point method to approximate the distance‐conditioned intensity for Strauss point processes. Subsequently, the author derives an analytically tractable expression for the distribution of empty space distance based on a conditional thinning mechanism. Additionally, the author establishes an upper bound for the probability generating functional in Strauss point processes, which is crucial for evaluating the Laplace transform of cumulative interference in relevant cellular networks. These findings facilitate the systematic derivation of spatially averaged probability of coverage, and the accuracy of analytic results is validated through simulations. |
| format | Article |
| id | doaj-art-69e5b32c19a542e0a035c9983f9eb0a1 |
| institution | DOAJ |
| issn | 0013-5194 1350-911X |
| language | English |
| publishDate | 2024-09-01 |
| publisher | Wiley |
| record_format | Article |
| series | Electronics Letters |
| spelling | doaj-art-69e5b32c19a542e0a035c9983f9eb0a12025-08-20T02:49:49ZengWileyElectronics Letters0013-51941350-911X2024-09-016017n/an/a10.1049/ell2.70005Approximation for probability of coverage in softly inhibitive cellular networksChunlin Chen0School of Software and Internet of Things Engineering Jiangxi University of Finance and Economics Nanchang ChinaAbstract The Strauss point process is a very popular model for describing the random cellular networks, yet several key statistical properties such as intensity, empty space function, and probability generating functional have remained elusive. This article addresses these issues by first leveraging the Poisson saddle point method to approximate the distance‐conditioned intensity for Strauss point processes. Subsequently, the author derives an analytically tractable expression for the distribution of empty space distance based on a conditional thinning mechanism. Additionally, the author establishes an upper bound for the probability generating functional in Strauss point processes, which is crucial for evaluating the Laplace transform of cumulative interference in relevant cellular networks. These findings facilitate the systematic derivation of spatially averaged probability of coverage, and the accuracy of analytic results is validated through simulations.https://doi.org/10.1049/ell2.70005network analysisperformance evaluationstochastic processeswireless communications |
| spellingShingle | Chunlin Chen Approximation for probability of coverage in softly inhibitive cellular networks Electronics Letters network analysis performance evaluation stochastic processes wireless communications |
| title | Approximation for probability of coverage in softly inhibitive cellular networks |
| title_full | Approximation for probability of coverage in softly inhibitive cellular networks |
| title_fullStr | Approximation for probability of coverage in softly inhibitive cellular networks |
| title_full_unstemmed | Approximation for probability of coverage in softly inhibitive cellular networks |
| title_short | Approximation for probability of coverage in softly inhibitive cellular networks |
| title_sort | approximation for probability of coverage in softly inhibitive cellular networks |
| topic | network analysis performance evaluation stochastic processes wireless communications |
| url | https://doi.org/10.1049/ell2.70005 |
| work_keys_str_mv | AT chunlinchen approximationforprobabilityofcoverageinsoftlyinhibitivecellularnetworks |