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Distribution of the Node Degree for Wireless Ad Hoc Networks in Shadow Fading Environments
Author(s) -
ChienChao Tseng,
H.-T. CHEN,
KwangCheng Chen
Publication year - 2007
Publication title -
ieice transactions on communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.211
H-Index - 56
eISSN - 1745-1345
pISSN - 0916-8516
DOI - 10.1093/ietcom/e90-b.8.2155
Subject(s) - wireless ad hoc network , computer science , node (physics) , fading , computer network , degree (music) , degree distribution , probability distribution , fading distribution , wireless network , joint probability distribution , wireless , rayleigh fading , statistics , telecommunications , mathematics , complex network , channel (broadcasting) , physics , structural engineering , acoustics , engineering , world wide web
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.

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