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Issue No. 05 - May (2012 vol. 61)
ISSN: 0018-9340
pp: 713-725
Cheng Wang , Tongji University, Shanghai and Ministry of Education, China
Xufei Mao , Beijing University of Posts and Telecommunications, Beijing
Shaojie Tang , Illinois Institute of Technology, Chicago
Yunhao Liu , Tsinghua University, Beijing and Hong Kong University of Science and Technology, Hong Kong
Xiang-Yang Li , Tsinghua University, Beijing, and Illinois Institute of Technology, Chicago
Yuan He , Tsinghua University, Beijing and Hong Kong University of Science and Technology, Hong Kong
Changjun Jiang , Tongji University, Shanghai and Ministry of Education, China
ABSTRACT
We study the asymptotic networking-theoretic multicast capacity bounds for random extended networks (REN) under Gaussian channel model, in which all wireless nodes are individually power-constrained. During the transmission, the power decays along path with attenuation exponent \alpha > 2. In REN, n nodes are randomly distributed in the square region of side length \sqrt{n}. There are n_s randomly and independently chosen multicast sessions. Each multicast session has n_d+1 randomly chosen terminals, including one source and n_d destinations. By effectively combining two types of routing and scheduling strategies, we analyze the asymptotic achievable throughput for all n_s=\omega (1) and n_d. As a special case of our results, we show that for n_s=\Theta (n), the per-session multicast capacity for REN is of order \Theta ({1\over \sqrt{n_d n}}) when n_d=O({n\over ({\log n})^{\alpha +1}} ) and is of order \Theta ({1\over n_d} \cdot (\log n)^{-{\alpha \over 2} }) when n_d=\Omega ({n\over \log n} ).
INDEX TERMS
Multicast capacity, percolation, wireless ad hoc networks, random networks, achievable throughput.
CITATION
Cheng Wang, Xufei Mao, Shaojie Tang, Yunhao Liu, Xiang-Yang Li, Yuan He, Changjun Jiang, "Scaling Laws of Multicast Capacity for Power-Constrained Wireless Networks under Gaussian Channel Model", IEEE Transactions on Computers, vol. 61, no. , pp. 713-725, May 2012, doi:10.1109/TC.2011.63
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