The Number of Isolated Nodes in Wireless Networks with Generalized Channel Models

• Main Authors: Kuo, Zhe-Wei, 郭哲瑋
• Other Authors: Yi, Chih-Wei
• Format: Others
• Language: en_US
• Online Access: http://ndltd.ncl.edu.tw/handle/75853420390157297359

碩士 === 國立交通大學 === 資訊科學與工程研究所 === 97 === In large-scale wireless ad hoc networks the exist of isolated nodes can be used as an indicated of network connectivity. In real world, we often use different network channel models to construct networks by considering the effect and restriction of different environment. Evaluating the reliability and connectivity base on the network channel model which be chosen. In this thesis, we will analysis the expected distribution of isolated nodes in networks. Assume wireless nodes are deployed by a Poisson point process with density over a deployment region , and every node has the same transmission power that is fixed and will not change with . Let be the probability of the event that two nodes have a link if they are apart from each other by . Assume is a decreasing function on with bounded supports. Let and for some constant , and let a. In our work, we proved that the expected number of isolated nodes in a network is . In addition, as , the number of isolated nodes is asymptotically Poisson with mean . In order to verity our theorem, we also simulate several popular network channel models and observe the variation of the number of network’s nodes in different while considering the connectivity property.