Robust Analog Function Computation via Wireless Multiple-Access Channels
Wireless sensor network applications often involve the computation of pre-defined functions of the measurements such as for example the arithmetic mean or maximum value. Standard approaches to this problem separate communication from computation: digitized sensor readings are transmitted interferenc...
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| Published in | IEEE transactions on communications Vol. 61; no. 9; pp. 3863 - 3877 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
New York, NY
IEEE
01.09.2013
Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0090-6778 1558-0857 |
| DOI | 10.1109/TCOMM.2013.072913.120815 |
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| Abstract | Wireless sensor network applications often involve the computation of pre-defined functions of the measurements such as for example the arithmetic mean or maximum value. Standard approaches to this problem separate communication from computation: digitized sensor readings are transmitted interference-free to a fusion center that reconstructs each sensor reading and subsequently computes the sought function value. Such separation-based computation schemes are generally highly inefficient as a complete reconstruction of individual sensor readings at the fusion center is not necessary to compute a function of them. In particular, if the mathematical structure of the channel is suitably matched (in some sense) to the function of interest, then channel collisions induced by concurrent transmissions of different nodes can be beneficially exploited for computation purposes. This paper proposes an analog computation scheme that allows for an efficient estimate of linear and nonlinear functions over the wireless multiple-access channel. A match between the channel and the function being evaluated is thereby achieved via some pre-processing on the sensor readings and post-processing on the superimposed signals observed by the fusion center. After analyzing the estimation error for two function examples, simulations are presented to show the potential for huge performance gains over time- and code-division multiple-access based computation schemes. |
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| AbstractList | Wireless sensor network applications often involve the computation of pre-defined functions of the measurements such as for example the arithmetic mean or maximum value. Standard approaches to this problem separate communication from computation: digitized sensor readings are transmitted interference-free to a fusion center that reconstructs each sensor reading and subsequently computes the sought function value. Such separation-based computation schemes are generally highly inefficient as a complete reconstruction of individual sensor readings at the fusion center is not necessary to compute a function of them. In particular, if the mathematical structure of the channel is suitably matched (in some sense) to the function of interest, then channel collisions induced by concurrent transmissions of different nodes can be beneficially exploited for computation purposes. This paper proposes an analog computation scheme that allows for an efficient estimate of linear and nonlinear functions over the wireless multiple-access channel. A match between the channel and the function being evaluated is thereby achieved via some pre-processing on the sensor readings and post-processing on the superimposed signals observed by the fusion center. After analyzing the estimation error for two function examples, simulations are presented to show the potential for huge performance gains over time- and code-division multiple-access based computation schemes. |
| Author | Stanczak, Slawomir Goldenbaum, Mario |
| Author_xml | – sequence: 1 givenname: Mario surname: Goldenbaum fullname: Goldenbaum, Mario email: mario.goldenbaum@tu-berlin.de organization: Fachgebiet fur Informationstheorie und Theor. Informationstechnik, Tech. Univ. Berlin, Berlin, Germany – sequence: 2 givenname: Slawomir surname: Stanczak fullname: Stanczak, Slawomir email: slawomir.stanczak@hhi.fraunhofer.de organization: Fraunhofer Inst. for Telecommun., Heinrich Hertz Inst., Berlin, Germany |
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| Keywords | Performance evaluation function estimation wireless sensor networks Noise reduction Wireless telecommunication Computation over multiple-access channels Non linear function Distributed computing Remote sensing Signal detection Multiple access Estimation error in-network processing Measurement sensor Error function distributed computation Mean value Interference suppression Simulation Code division multiple access Telecommunication channels Signal processing Wireless network Sensor array Multiple channel |
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| SubjectTerms | Applied sciences Channels Computation Computation over multiple-access channels Computer simulation Detection, estimation, filtering, equalization, prediction Digitization distributed computation Exact sciences and technology function estimation in-network processing Information, signal and communications theory Mathematical analysis Mathematical models Protocols Receivers Reconstruction Robustness Sensors Services and terminals of telecommunications Signal and communications theory Signal, noise Synchronization Systems, networks and services of telecommunications Telecommunications Telecommunications and information theory Telemetry. Remote supervision. Telewarning. Remote control Transmission and modulation (techniques and equipments) Wireless communication Wireless sensor networks |
| Title | Robust Analog Function Computation via Wireless Multiple-Access Channels |
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