NDLI: Some Analogies Between Thermodynamics and Shannon Theory

Content Provider	IEEE Xplore Digital Library
Author	Samardzija, D.
Copyright Year	2007
Description	Author affiliation: Alcatel-Lucent, Holmdel (Samardzija, D.)
Abstract	In this paper we present some analogies between thermodynamics and certain Shannon theory results. We revisit the previously published results that relate notion of energy and information. We then introduce a thermodynamic system that could be used to store information. The ideal gas is considered. We present the corresponding thermodynamic analysis and establish equivalence with the additive white Gaussian noise (AWGN) channel capacity formula. Specifically, we show that the average energy needed for adiabatic compression of the ideal gas to 1/N of its initial volume is the same as the average energy needed to achieve the capacity C = log, N of the equivalent AWGN channel. In addition, the analysis is extended to show a link between the gas volume and minimum squared codeword distance. Furthermore, we show that the ideal gas which went through the adiabatic compression, and later settled according to the second law of thermodynamics, will reach an equilibrium state which is directly related to Shannon random coding and joint typicality decoding.
Starting Page	166
Ending Page	171
File Size	870807
Page Count	6
File Format	PDF
ISBN	1424410633
DOI	10.1109/CISS.2007.4298293
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-03-14
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Thermodynamics AWGN Channel capacity Laboratories Additive white noise Entropy Decoding Data mining Physics Information theory
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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