Simplicial homology : applied to wireless networks

Abstract : Simplicial homology is a useful tool to access important information about the topology of wireless networks such as : coverage and connectivity. In this thesis, we model the wireless network as a random deployment of cells. Firstly, we introduce an algorithm to construct the Cech complex, which describes exactly the topology of the network. Then, the Cech complex is used in further applications. The first application is to save transmission power for wireless networks. This application not only maximizes the coverage of the network but also minimizes its transmission power. At the same time, the coverage and the transmission power are optimized. The second application is to balance the traffic load in wireless networks. This application controls the transmission power of each cell in the network, always under the coverage constraint. With the controlled transmission power, the users are redirected to connect to the lower traffic load cells. Consequentially, the balanced traffic load is obtained for the network.
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Ngoc Khuyen Le. Simplicial homology : applied to wireless networks. Networking and Internet Architecture [cs.NI]. Télécom ParisTech, 2016. English. ⟨NNT : 2016ENST0039⟩. ⟨tel-02121124⟩

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