skip to main content
10.1145/1236360.1236362acmconferencesArticle/Chapter ViewAbstractPublication PagescpsweekConference Proceedingsconference-collections
Article

The worst-case capacity of wireless sensor networks

Published: 25 April 2007 Publication History

Abstract

The key application scenario of wireless sensor networks is data gathering sensor nodes transmit data, possibly in a multi-hop fashion, to an information sink. The performance of sensor networks is thus characterized by the rate at which information can be aggregated to the sink. In this paper, we derive the first scaling laws describing the achievable rate in worst-case i.e.arbitrarily deployed,sensor networks. We show that in the physical model of wireless communication and for a large number of practically important functions, a sustainable rate of Ω(1 / log2 n) can be achieved in every network even when nodes are positioned in a worst-case manner. In contrast, we show that the best possible rate in the protocol model is Θ(1 /n), which establishes an exponential gap between these two standard models of wireless communication. Furthermore, our worst-case capacity result almost matches the rate of Θ(1 / log n) that can be achieved in randomly deployed networks. The high rate is made possible by employing non-linear power assignment at nodes and by exploiting SINR-effects. Finally,our algorithm also improves the best known bounds on the scheduling complexity in wireless networks.

References

[1]
R.J. Barton and R. Zheng. Order-Optimal Data Aggregation in Wireless Sensor Networks Using Cooperative Time-Reversal Communication. In Proceedings of the 40th Conference on Information Sciences and Systems (CISS)pages 1050--1055, 2006.
[2]
A. Chakrabarti, A. Sabharwal, and B. Aazhang. Multi-Hop Communication is Order-Optimal for Homogeneous Sensor Networks. In Proc. of the 3nd International Symposium on Information Processing in Sensor Networks (IPSN) 2004.
[3]
R. Cristescu, B. Beferull-Lozano, and M. Vetterli. On Network Correlated Data Gathering. In Proceedings of the 23th Annual Joint Conference of the IEEE Computer and Communications Societies (INFOCOM) 2004.
[4]
E.J. Duarte-Melo and M. Liu. Data-Gathering Wireless Sensor Networks: Organization and Capacity. Computer Networks 43, 2003.
[5]
T. ElBatt and A. Ephremides. Joint Scheduling and Power Control for Wireless Ad-hoc Networks. In Proceedings of the 21th Annual Joint Conference of the IEEE Computer and Communications Societies (INFOCOM) 2002.
[6]
M. Fussen, R. Wattenhofer, and A. Zollinger. Interference Arises at the Receiver. In Proc.of theInternational Conference on Wireless Networks, Communications, and Mobile Computing (WirelessCom) June 2005.
[7]
J. Gao, L. Guibas, J. Hershberger, and L. Zhang. Fractionally Cascaded Information in a Sensor Network. In Proc. of the 3nd International Symposium on Information Processing in Sensor Networks (IPSN2004).
[8]
A. Giridhar and P.R. Kumar. Computing and Communicating Functions over Sensor Networks. IEEE Journal on Selected Areas in Communications 23(4):755--764, 2005.
[9]
A. Giridhar and P.R. Kumar. Towards a Theory of In-Network Computation in Wireless Sensor Networks. IEEE Communications Magazine 44(4), 2006.
[10]
A. Goel and D. Estrin. Simultaneous Optimization for Concave Costs: Single Sink Aggregation or Single Source Buy-at Bulk. In Proc. of the ACM-SIAM Symposium on Discrete Algorithms (SODA) 2003.
[11]
P.K. Gopala and H.E. Gamal. On the Scaling Laws of Modal Wireless Sensor Networks. In Proceedings of the 23rd Annual Joint Conference of the IEEE Computer Communications Societies (INFOCOM) 2004.
[12]
P. Gupta and P.R. Kumar. The Capacity of Wireless Networks.IEEE Trans. Information Theory 46(2):388--404, 2000.
[13]
M. Haenggi. Routing in Ad Hoc Networks - A Wireless Perspective. In Proc. of the 1st International Conference on Broadband Networks (BroadNets) 2004.
[14]
Q.-S. Hua and F.C.M. Lau. The Scheduling and Energy Complexity of Strong Connectivity in Ultra-Wideband Networks. In Proc. of the 9th ACM Symposium on Modeling Analysis and Simulation of Wireless and Mobile Systems (MSWiM) pages 282--290, 2006.
[15]
L. Jia, G. Lin, G. Noubir, R. Rajaraman, and R. Sundaram.Universal Approximations for TSP, Steiner Tree and Set Cover. In Proc. of the 37th ACM Symposium on Theory of Computing (STOC) 2005.
[16]
S. Katti, H. Rahul, W. Hu, D. Katabi, M. Medard, and J. Crowcroft.XOR in The Air: Practical Wireless Network Coding. In Proc. of ACM SIGCOMM Pisa, Italy, 2006.
[17]
M. Kodialam and T. Nandagopal. Characterizing Achievable Rates in Multi-Hop Wireless Networks: The Joint Routing and Scheduling Problem. In Proceedings of the 9th Annual International Conference on Mobile Computing and Networking (MOBICOM) 2003.
[18]
V.S.A. Kumar, M.V. Marathe, S. Parthasarathy, and A. Srinivasan. Algorithmic Aspects of Capacity in Wireless Networks.In Proc. International Conference on Measurement and Modeling of Computer Systems (SIGMETRICS) pages 133--144, 2005.
[19]
D. Marco, E.J. Duarte-Melo, M. Liu, and D.L. Neuhoff. On the Many-to-One Transport Capacity of a Dense Wireless Sensor Network and the Compressibility of its Data. In Proc. of the 2nd International Workshop on Information Processing in Sensor Networks (IPSN) 2003.
[20]
U. Mitra and A. Sabharwal. Complexity Constrained Sensor Networks: Achievable Rates for Two Relay Networks and Generalizations. In Proc. of the 3nd International Symposium on Information Processing in Sensor Networks (IPSN) 2004.
[21]
T. Moscibroda and R. Wattenhofer. The Complexity of Connectivity in Wireless Networks. In Proc. of the 25th IEEE INFOCOM 2006.
[22]
T. Moscibroda, R. Wattenhofer, and Y. Weber. Protocol Design Beyond Graph-based Models. In Proceedings of the 5th ACM SIGCOMM Workshop on Hot Topics in Networks (HotNets) 2006.
[23]
T. Moscibroda, R. Wattenhofer, and A. Zollinger. Topology Control meets SINR: The Scheduling Complexity of Arbitrary Topologies. In Proc. of the 7th ACM Symposium on Mobile Ad Hoc Networking and Computing (MOBIHOC)2006.
[24]
P. von Rickenbach and R. Wattenhofer. Gathering Correlated Data in Sensor Networks. In ACM Join Workshop on Foundations of Mobile Computing (DIALM-POMC) 2004.
[25]
L. Ying,R. Srikant, and G.E. Dullerud. Distributed Symmetric Function Computation in Noisy Wireless Sensor Networks with Binary Data. In Proc. of the 4th Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks (WiOPT)2006.

Cited By

View all

Index Terms

  1. The worst-case capacity of wireless sensor networks

      Recommendations

      Comments

      Information & Contributors

      Information

      Published In

      cover image ACM Conferences
      IPSN '07: Proceedings of the 6th international conference on Information processing in sensor networks
      April 2007
      592 pages
      ISBN:9781595936387
      DOI:10.1145/1236360
      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]

      Sponsors

      Publisher

      Association for Computing Machinery

      New York, NY, United States

      Publication History

      Published: 25 April 2007

      Permissions

      Request permissions for this article.

      Check for updates

      Author Tags

      1. capacity
      2. data gathering
      3. scheduling complexity

      Qualifiers

      • Article

      Conference

      IPSN07
      Sponsor:

      Acceptance Rates

      Overall Acceptance Rate 143 of 593 submissions, 24%

      Contributors

      Other Metrics

      Bibliometrics & Citations

      Bibliometrics

      Article Metrics

      • Downloads (Last 12 months)7
      • Downloads (Last 6 weeks)1
      Reflects downloads up to 08 Mar 2025

      Other Metrics

      Citations

      Cited By

      View all
      • (2021)Network Design under General Wireless InterferenceAlgorithmica10.1007/s00453-021-00866-zOnline publication date: 10-Aug-2021
      • (2019)Wireless Network AlgorithmicsComputing and Software Science10.1007/978-3-319-91908-9_9(141-160)Online publication date: 2019
      • (2017)On the power of uniform powerWireless Networks10.1007/s11276-016-1282-323:8(2319-2333)Online publication date: 1-Nov-2017
      • (2015)The Topology of Wireless CommunicationJournal of the ACM10.1145/280769362:5(1-32)Online publication date: 2-Nov-2015
      • (2015)On the Relations Between SINR Diagrams and Voronoi DiagramsProceedings of the 14th International Conference on Ad-hoc, Mobile, and Wireless Networks - Volume 914310.1007/978-3-319-19662-6_16(225-237)Online publication date: 29-Jun-2015
      • (2014)EFFICIENT AND FAST INFORMATION GATHERING IN SENSOR NETWORK ORGANISED AS A TREEInternational Journal of Research -GRANTHAALAYAH10.29121/granthaalayah.v1.i1.2014.30841:1(35-42)Online publication date: 31-Aug-2014
      • (2014)Optimization methods applied to nonlinear signal interference modelsEngineering Optimization 201410.1201/b17488-121(681-686)Online publication date: 7-Oct-2014
      • (2014)Consensus with an abstract MAC layerProceedings of the 2014 ACM symposium on Principles of distributed computing10.1145/2611462.2611479(66-75)Online publication date: 15-Jul-2014
      • (2014)Algorithms for wireless capacityIEEE/ACM Transactions on Networking10.1109/TNET.2013.225803622:3(745-755)Online publication date: 1-Jun-2014
      • (2014)Snapshot and Continuous Data Collection in Probabilistic Wireless Sensor NetworksIEEE Transactions on Mobile Computing10.1109/TMC.2013.3013:3(626-637)Online publication date: 1-Mar-2014
      • Show More Cited By

      View Options

      Login options

      View options

      PDF

      View or Download as a PDF file.

      PDF

      eReader

      View online with eReader.

      eReader

      Figures

      Tables

      Media

      Share

      Share

      Share this Publication link

      Share on social media