The Source-Channel Separation Theorem Revisited

Sridhar Vembu; Sergio Verdú; Yossef Steinberg

doi:10.1109/18.370119

The Source-Channel Separation Theorem Revisited

Sridhar Vembu
, Sergio Verdú
, Yossef Steinberg

Research output: Contribution to journal › Article › peer-review

189 Scopus citations

Abstract

The single-user separation theorem of joint source-channel coding has been proved previously for wide classes of sources and channels. We find an information-stable source/channel pair which does not satisfy the separation theorem. New necessary and sufficient conditions for the transmissibility of a source through a channel are found, and we characterize the class of channels for which the separation theorem holds regardless of the source statistics.

Original language	English (US)
Pages (from-to)	44-54
Number of pages	11
Journal	IEEE Transactions on Information Theory
Volume	41
Issue number	1
DOIs	https://doi.org/10.1109/18.370119
State	Published - Jan 1995

All Science Journal Classification (ASJC) codes

Information Systems
Computer Science Applications
Library and Information Sciences

Keywords

Shannon Theory
channel capacity, source coding
joint source-channel coding
separation theorem

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10.1109/18.370119

Cite this

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title = "The Source-Channel Separation Theorem Revisited",

abstract = "The single-user separation theorem of joint source-channel coding has been proved previously for wide classes of sources and channels. We find an information-stable source/channel pair which does not satisfy the separation theorem. New necessary and sufficient conditions for the transmissibility of a source through a channel are found, and we characterize the class of channels for which the separation theorem holds regardless of the source statistics.",

keywords = "Shannon Theory, channel capacity, source coding, joint source-channel coding, separation theorem",

author = "Sridhar Vembu and Sergio Verd{\'u} and Yossef Steinberg",

note = "Funding Information: Manuscript received July 20, 1993; revised January 31, 1994. This research has been partially supported by the National Science Foundation under PYI award ECSE-8857689 and by and IBM Graduate Fellowship award. This paper was presented at the 1994 International Symposium on Information Theory, Trondheim, Norway, June 1994.",

year = "1995",

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AU - Vembu, Sridhar

AU - Verdú, Sergio

AU - Steinberg, Yossef

N1 - Funding Information: Manuscript received July 20, 1993; revised January 31, 1994. This research has been partially supported by the National Science Foundation under PYI award ECSE-8857689 and by and IBM Graduate Fellowship award. This paper was presented at the 1994 International Symposium on Information Theory, Trondheim, Norway, June 1994.

PY - 1995/1

Y1 - 1995/1

N2 - The single-user separation theorem of joint source-channel coding has been proved previously for wide classes of sources and channels. We find an information-stable source/channel pair which does not satisfy the separation theorem. New necessary and sufficient conditions for the transmissibility of a source through a channel are found, and we characterize the class of channels for which the separation theorem holds regardless of the source statistics.

AB - The single-user separation theorem of joint source-channel coding has been proved previously for wide classes of sources and channels. We find an information-stable source/channel pair which does not satisfy the separation theorem. New necessary and sufficient conditions for the transmissibility of a source through a channel are found, and we characterize the class of channels for which the separation theorem holds regardless of the source statistics.

KW - Shannon Theory

KW - channel capacity, source coding

KW - joint source-channel coding

KW - separation theorem

UR - https://www.scopus.com/pages/publications/0029231349

UR - https://www.scopus.com/pages/publications/0029231349#tab=citedBy

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M3 - Article

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EP - 54

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

IS - 1

ER -

The Source-Channel Separation Theorem Revisited

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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