Duality with Linear-Feedback Schemes for the Scalar Gaussian MAC and BC

Selma Belhadj Amor; Yossef Steinberg; Michèle Wigger

doi:https://doi.org/10.3929/ethz-a-010094576

Duality with Linear-Feedback Schemes for the Scalar Gaussian MAC and BC

Selma Belhadj Amor, Yossef Steinberg, Michèle Wigger

Electrical and Computer Engineering

Technion - Israel Institute of Technology

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

Abstract

We show that with perfect feedback and when
restricting to linear-feedback schemes, the regions achieved over
the two-user scalar Gaussian memoryless MAC and over the
two-user scalar Gaussian memoryless BC coincide, if the MAC
and the BC have equal channel coefficients and if the same
(sum-)power constraint P is imposed on their inputs. Since the
achievable region for the MAC is well known (it equals Ozarow’s
perfect-feedback capacity region under a sum-power constraint),
we can characterize the region that is achievable over the scalar
Gaussian BC with linear-feedback schemes.

Original language	Undefined/Unknown
Title of host publication	2014 International Zurich Seminar on Communications (IZS)
Place of Publication	Zürich, Switzerland
Pages	25-28
Number of pages	4
DOIs	https://doi.org/10.3929/ethz-a-010094576
State	Published - 1 Oct 2015
Event	23th International Zurich Seminar on Communications - Zurich Duration: 26 Feb 2014 → 28 Feb 2014 Conference number: 14 https://www.izs.ethz.ch/2014/

Publication series

Name	Proceedings of 2014 International Zurich Seminar on Communications (IZS)

Conference

Conference	23th International Zurich Seminar on Communications
Abbreviated title	IZS
City	Zurich
Period	26/02/14 → 28/02/14
Internet address	https://www.izs.ethz.ch/2014/

Access to Document

https://doi.org/10.3929/ethz-a-010094576

https://hal.science/hal-01221198

Cite this

@inproceedings{476fac0969914cf6a363af83aae71811,

title = "Duality with Linear-Feedback Schemes for the Scalar Gaussian MAC and BC",

abstract = "We show that with perfect feedback and whenrestricting to linear-feedback schemes, the regions achieved overthe two-user scalar Gaussian memoryless MAC and over thetwo-user scalar Gaussian memoryless BC coincide, if the MACand the BC have equal channel coefficients and if the same(sum-)power constraint P is imposed on their inputs. Since theachievable region for the MAC is well known (it equals Ozarow{\textquoteright}sperfect-feedback capacity region under a sum-power constraint),we can characterize the region that is achievable over the scalarGaussian BC with linear-feedback schemes.",

author = "Amor, {Selma Belhadj} and Yossef Steinberg and Mich{\`e}le Wigger",

year = "2015",

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day = "1",

doi = "https://doi.org/10.3929/ethz-a-010094576",

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series = "Proceedings of 2014 International Zurich Seminar on Communications (IZS)",

pages = "25--28",

booktitle = "2014 International Zurich Seminar on Communications (IZS)",

note = "23th International Zurich Seminar on Communications ; Conference date: 26-02-2014 Through 28-02-2014",

url = "https://www.izs.ethz.ch/2014/",

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Amor, SB, Steinberg, Y & Wigger, M 2015, Duality with Linear-Feedback Schemes for the Scalar Gaussian MAC and BC. in 2014 International Zurich Seminar on Communications (IZS). Proceedings of 2014 International Zurich Seminar on Communications (IZS), Zürich, Switzerland, pp. 25-28, 23th International Zurich Seminar on Communications, Zurich, 26/02/14. https://doi.org/10.3929/ethz-a-010094576

Duality with Linear-Feedback Schemes for the Scalar Gaussian MAC and BC. / Amor, Selma Belhadj; Steinberg, Yossef; Wigger, Michèle.
2014 International Zurich Seminar on Communications (IZS). Zürich, Switzerland, 2015. p. 25-28 (Proceedings of 2014 International Zurich Seminar on Communications (IZS)).

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

TY - GEN

T1 - Duality with Linear-Feedback Schemes for the Scalar Gaussian MAC and BC

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AU - Wigger, Michèle

N1 - Conference code: 14

PY - 2015/10/1

Y1 - 2015/10/1

N2 - We show that with perfect feedback and whenrestricting to linear-feedback schemes, the regions achieved overthe two-user scalar Gaussian memoryless MAC and over thetwo-user scalar Gaussian memoryless BC coincide, if the MACand the BC have equal channel coefficients and if the same(sum-)power constraint P is imposed on their inputs. Since theachievable region for the MAC is well known (it equals Ozarow’sperfect-feedback capacity region under a sum-power constraint),we can characterize the region that is achievable over the scalarGaussian BC with linear-feedback schemes.

AB - We show that with perfect feedback and whenrestricting to linear-feedback schemes, the regions achieved overthe two-user scalar Gaussian memoryless MAC and over thetwo-user scalar Gaussian memoryless BC coincide, if the MACand the BC have equal channel coefficients and if the same(sum-)power constraint P is imposed on their inputs. Since theachievable region for the MAC is well known (it equals Ozarow’sperfect-feedback capacity region under a sum-power constraint),we can characterize the region that is achievable over the scalarGaussian BC with linear-feedback schemes.

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DO - https://doi.org/10.3929/ethz-a-010094576

M3 - منشور من مؤتمر

T3 - Proceedings of 2014 International Zurich Seminar on Communications (IZS)

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BT - 2014 International Zurich Seminar on Communications (IZS)

CY - Zürich, Switzerland

T2 - 23th International Zurich Seminar on Communications

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