Distribution of the Node Degree for Wireless Ad Hoc Networks in Shadow Fading Environments

Chih-Cheng TSENG  Hsuan-Tsang CHEN  Kwang-Cheng CHEN  

IEICE TRANSACTIONS on Communications   Vol.E90-B   No.8   pp.2155-2158
Publication Date: 2007/08/01
Online ISSN: 1745-1345
DOI: 10.1093/ietcom/e90-b.8.2155
Print ISSN: 0916-8516
Type of Manuscript: LETTER
Category: Network
ad hoc networks,  node degree,  shadow fading environments,  

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Probability distribution of the node degree has long been regarded as one of the important metrics to characterize the wireless ad hoc networks. However, there is no exact formulation for this probability distribution when shadow fading effects are considered. In this letter, by deriving the conditional probability of the node degree and the joint distribution of the distances between nodes and a randomly selected reference node (RSRN), we show that the probability distribution of the node degree for the wireless ad hoc networks in the shadow fading environments is binomial.