| Project/Area Number |
16K00030
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Mathematical informatics
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
Miyoshi Naoto 東京工業大学, 情報理工学院, 教授 (20263121)
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| Project Period (FY) |
2016-04-01 – 2020-03-31
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| Project Status |
Completed (Fiscal Year 2019)
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| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2018: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2017: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 確率モデル / 無線通信ネットワーク / 空間点過程 / 性能解析 / 信号対干渉比 / 確率分布の裾 / セルラネットワーク / 行列式点過程 / 性能評価 |
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| Outline of Final Research Achievements |
The aim of this research is that we analyze spatial stochastic models of wireless communication networks, where the locations of wireless nodes are expressed by spatial point processes, and then investigate performance of the networks. The main results are as follows: (1) For various cellular network models where the locations of base stations are positively or negatively correlated, we have derived the coverage probability, a primary performance measure of wireless networks, in numerically computable forms and have evaluated performance of the networks through numerical experiments. (2) We have proposed a simple approximate technique to compute the coverage probability in cellular networks. (3) We have investigated some asymptotic properties of the tail of coverage probability in cellular networks.
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| Academic Significance and Societal Importance of the Research Achievements |
無線通信ネットワークにおける無線ノードの位置を空間点過程を用いて表した空間確率モデルの研究は盛んに行われていますが，その多くは解析の容易さのために均質なポアソン点過程を仮定しています．しかし，実際のセルラネットワークにおける無線基地局やユーザ端末の配置には正または負の様々な相関が現れます．したがって，点配置に相関のある空間点過程を用いて無線ネットワークをモデル化し，そのモデルに対して多方面から解析を行ったことには大きな意義があると考えます．
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