HBCU-UP RIA: Analytical Studies of Multihop Wireless Networks with the Log-normal Shadowing Model

本项目将在考虑到重要边界效应的真实阴影模型下对多跳无线网络进行分析研究。本项目将研究在阴影模型下，为确保网络几乎必然渐近连通，每个节点所需的临界传输功率，并探索网络连通的概率与网络没有孤立节点的概率之间的关系。无线电不规则性对网络连通性和无线电干扰的影响，在实际的多跳无线网络下的阴影模型将被检查。该项目的最终目标是使潘恩学院的计算机科学研究和教育得到显著改善，并增加非裔美国本科生在计算机科学研究中的参与。移动的和无线设备的迅速普及为无线网络领域的理论研究提供了极好的机会。对数正态阴影模型是一种应用广泛的真实电波传播模型。在任何实际的多跳无线网络中，边界效应都是必须考虑的重要因素。在这样一个阴影模型与边界效应包括，很少有人知道实际的多跳无线网络的连接和无线电不规则性的影响，连接和干扰。这项研究的结果将感兴趣的领域，如吞吐量，虚拟骨干网，拓扑控制，路由协议，信息理论和网络。多跳无线网络有望在解决诸如保护我们的家园、保护基础设施、监测生物圈条件或诊断和治疗疾病等问题方面发挥关键作用。

This project will conduct analytical studies on multi-hop wireless networks under a realistic shadowing model with an important boundary effect taken into consideration. The project will investigate the critical transmission power required for each node to ensure that the network is connected asymptotically almost surely under a shadowing model, and explore the relation between the probability that the network is connected and the probability that the network has no isolated nodes. The impact of radio irregularity on network connectivity and radio interference in practical multihop wireless networks under the shadowing model will be examined. The ultimate goal of this project is to make significant improvements for research and education in computer science at Paine College and increase the participation of African American undergraduate students in computer science research.The rapid proliferation of mobile and wireless devices provides an excellent opportunity for theoretic research in the wireless networking area. The log-normal shadowing model is a realistic radio propagation model which has been widely used. The important boundary effect must be taken into consideration in any practical multihop wireless networks. Under such a shadowing model with the boundary effect included, little is known about connectivity of practical multihop wireless networks and the impact of radio irregularity on connectivity and interference. The results of this research will be of interest in areas such as throughput capacity, virtual backbone, topology control, routing protocols, information theory and networking. Multihop wireless networks are expected to play a key role in solving problems such as securing our homeland, protecting the infrastructure, monitoring conditions in the biosphere, or in the diagnosis and treatment of illnesses.