Disproof of the Shamai-Laroia conjecture

Yair Carmon; Shlomo Shamai; Tsachy Weissman

doi:10.1109/EEEI.2012.6377098

Disproof of the Shamai-Laroia conjecture

Yair Carmon, Shlomo Shamai, Tsachy Weissman

Technion - Israel Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We prove that the conjectured Shamai-Laroia lower bound for the maximum achievable rate in the intersymbol interference channel does not hold. It is shown that in the low SNR regime, the opposite to the conjecture is true, for all ISI channels and essentially all input distributions. Using insights obtained from this proof, we construct a clear counterexample to the conjecture.

Original language	English
Title of host publication	2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012
DOIs	https://doi.org/10.1109/EEEI.2012.6377098
State	Published - 2012
Event	2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012 - Eilat, Israel Duration: 14 Nov 2012 → 17 Nov 2012

Publication series

Name	2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012

Conference

Conference	2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012
Country/Territory	Israel
City	Eilat
Period	14/11/12 → 17/11/12

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

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10.1109/EEEI.2012.6377098

Cite this

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title = "Disproof of the Shamai-Laroia conjecture",

abstract = "We prove that the conjectured Shamai-Laroia lower bound for the maximum achievable rate in the intersymbol interference channel does not hold. It is shown that in the low SNR regime, the opposite to the conjecture is true, for all ISI channels and essentially all input distributions. Using insights obtained from this proof, we construct a clear counterexample to the conjecture.",

author = "Yair Carmon and Shlomo Shamai and Tsachy Weissman",

year = "2012",

doi = "10.1109/EEEI.2012.6377098",

language = "الإنجليزيّة",

isbn = "9781467346801",

series = "2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012",

booktitle = "2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012",

note = "2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012 ; Conference date: 14-11-2012 Through 17-11-2012",

}

Carmon, Y , Shamai, S & Weissman, T 2012, Disproof of the Shamai-Laroia conjecture. in 2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012., 6377098, 2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012, 2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012, Eilat, Israel, 14/11/12. https://doi.org/10.1109/EEEI.2012.6377098

Disproof of the Shamai-Laroia conjecture. / Carmon, Yair ; Shamai, Shlomo; Weissman, Tsachy.
2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012. 2012. 6377098 (2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - We prove that the conjectured Shamai-Laroia lower bound for the maximum achievable rate in the intersymbol interference channel does not hold. It is shown that in the low SNR regime, the opposite to the conjecture is true, for all ISI channels and essentially all input distributions. Using insights obtained from this proof, we construct a clear counterexample to the conjecture.

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M3 - منشور من مؤتمر

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Disproof of the Shamai-Laroia conjecture

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