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Capacity of large scale wireless networks under Gaussian channel model

Published: 14 September 2008 Publication History

Abstract

In this paper, we study the multicast capacity of a large scale random wireless network. We simply consider the extended multihop network, where a number of wireless nodes vi(1 ≤ i n) are randomly located in a square region with side-length a = √n, by use of Poisson distribution with density 1. All nodes transmit at constant power P, and the power decays along path, with attenuation exponent α > 2. The data rate of a transmission is determined by the SINR as B log(1 + SINR). There are ns randomly and independently chosen multicast sessions. Each multicast has k randomly chosen terminals. We show that, when k ≤ θ1 n/(log n)2α+6, and ns ≥ θ2n1/2+β, the capacity that each multicast session can achieve, with high probability, is at least c8n/nsk, where θ1, θ2, and c8 are some special constants and β > 0 is any positive real number. Our result generalizes the unicast capacity [3] for random networks using percolation theory.

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cover image ACM Conferences
MobiCom '08: Proceedings of the 14th ACM international conference on Mobile computing and networking
September 2008
374 pages
ISBN:9781605580968
DOI:10.1145/1409944
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Publication History

Published: 14 September 2008

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Author Tags

  1. broadcast
  2. capacity
  3. multicast
  4. optimization
  5. percolation theory
  6. probability theory
  7. scheduling
  8. unicast
  9. wireless ad hoc networks

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MobiCom08
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MobiCom08: Annual International Conference on Mobile Computing and Networking
September 14 - 19, 2008
California, San Francisco, USA

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Overall Acceptance Rate 440 of 2,972 submissions, 15%

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Cited By

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  • (2019)From Real to ComplexACM Transactions on Sensor Networks10.1145/333802615:3(1-32)Online publication date: 9-Aug-2019
  • (2019)Multicast Scaling of Capacity and Energy Efficiency in Heterogeneous Wireless Sensor NetworksACM Transactions on Sensor Networks10.1145/332249715:3(1-32)Online publication date: 30-May-2019
  • (2019)Exploiting Concurrency for Opportunistic Forwarding in Duty-Cycled IoT NetworksACM Transactions on Sensor Networks10.1145/332249615:3(1-33)Online publication date: 30-May-2019
  • (2019)Power-Positive NetworkingACM Transactions on Sensor Networks10.1145/331768615:3(1-25)Online publication date: 17-May-2019
  • (2016)Nonasymptotic Multicast Throughput and Delay in Multihop Wireless NetworksIEEE Transactions on Vehicular Technology10.1109/TVT.2015.246596365:7(5525-5537)Online publication date: Jul-2016
  • (2016)Data Preservation in Base Station-Less Sensor Networks: A Game Theoretic ApproachGame Theory for Networks10.1007/978-3-319-47509-7_2(13-23)Online publication date: 26-Nov-2016
  • (2015)Data Preservation in Data-Intensive Sensor Networks With Spatial CorrelationProceedings of the 2015 Workshop on Mobile Big Data10.1145/2757384.2757389(7-12)Online publication date: 21-Jun-2015
  • (2015)Capacity Scaling of Wireless Social NetworksIEEE Transactions on Parallel and Distributed Systems10.1109/TPDS.2014.233352426:7(1839-1850)Online publication date: 1-Jul-2015
  • (2015)OMOProceedings of the 2015 IEEE 34th International Performance Computing and Communications Conference (IPCCC)10.1109/PCCC.2015.7410279(1-8)Online publication date: 14-Dec-2015
  • (2015)A Generalized Data Preservation Problem in Sensor Networks–A Network Flow PerspectiveAd-hoc Networks and Wireless10.1007/978-3-662-46338-3_22(275-289)Online publication date: 10-Feb-2015
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