Uncoded Transmission Is Exactly Optimal for a Simple Gaussian "Sensor" Network

A single memoryless Gaussian source is observed by many terminals, subject to independent Gaussian observation noises. The terminals are linked to a fusion center via a standard Gaussian multiple-access channel. The fusion center needs to recover the underlying Gaussian source with respect to mean-s...

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Vydané v:	IEEE transactions on information theory Ročník 54; číslo 11; s. 5247 - 5251
Hlavný autor:	Gastpar, M.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	New York, NY IEEE 01.11.2008 Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Predmet:	Application software Applied sciences Codes Coding, codes Communication standards Cut-set bound Data transmission Decoding Detection, estimation, filtering, equalization, prediction Digital communication Engineering profession Exact sciences and technology Gaussian noise Information theory Information, signal and communications theory joint source-channel coding maximum correlation coefficient Miscellaneous Normal distribution Random variables Sensor fusion Sensors Signal and communications theory Signal processing Signal, noise source-channel separation theorem Telecommunication network reliability Telecommunications and information theory Correlation coefficient Multiple access joint source-channel coding Parameter estimation Source separation Gaussian channel Signal estimation source-channel separation theorem maximum correlation coefficient Joint source channel coding Mean square error Optimal strategy Gaussian noise Cut-set bound Signal processing Sensor array Multiple channel Memoryless source Signal detection
ISSN:	0018-9448, 1557-9654
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Popis
Shrnutí:	A single memoryless Gaussian source is observed by many terminals, subject to independent Gaussian observation noises. The terminals are linked to a fusion center via a standard Gaussian multiple-access channel. The fusion center needs to recover the underlying Gaussian source with respect to mean-squared error. In this correspondence, a theorem of Witsenhausen is shown to imply that an optimal communication strategy is uncoded transmission, i.e., each terminal's channel input is merely a scaled version of its noisy observation.
Bibliografia:	SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14
ISSN:	0018-9448 1557-9654
DOI:	10.1109/TIT.2008.929967