Degraded Gaussian multirelay channel: Capacity and optimal power allocation

Alex Reznik; Sanjeev R. Kulkarni; Sergio Verdú

doi:10.1109/TIT.2004.838373

Degraded Gaussian multirelay channel: Capacity and optimal power allocation

Alex Reznik, Sanjeev R. Kulkarni, Sergio Verdú

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

117 Scopus citations

Abstract

We determine the capacity region of a degraded Gaussian relay channel with multiple relay stages. This is done by building an inductive argument based on the single-relay capacity theorem of Cover and El Gamal. For an arbitrary distribution of noise powers, we derive the optimal power distribution strategy among the transmitter and the relays and the best possible improvement in signal-to-noise ratio (SNR) that can be achieved from using a given number of relays. The time-division multiplexing operation of the relay channel in the wideband regime is analyzed and it is shown that time division does not achieve minimum energy per bit.

Original language	English (US)
Pages (from-to)	3037-3046
Number of pages	10
Journal	IEEE Transactions on Information Theory
Volume	50
Issue number	12
DOIs	https://doi.org/10.1109/TIT.2004.838373
State	Published - Dec 2004

All Science Journal Classification (ASJC) codes

Information Systems
Computer Science Applications
Library and Information Sciences

Keywords

Capacity
Optimal resource allocation
Relay channel
Wideband channels

Access to Document

10.1109/TIT.2004.838373

Cite this

@article{4cdaf249ab924828a175d7f8e5438640,

title = "Degraded Gaussian multirelay channel: Capacity and optimal power allocation",

abstract = "We determine the capacity region of a degraded Gaussian relay channel with multiple relay stages. This is done by building an inductive argument based on the single-relay capacity theorem of Cover and El Gamal. For an arbitrary distribution of noise powers, we derive the optimal power distribution strategy among the transmitter and the relays and the best possible improvement in signal-to-noise ratio (SNR) that can be achieved from using a given number of relays. The time-division multiplexing operation of the relay channel in the wideband regime is analyzed and it is shown that time division does not achieve minimum energy per bit.",

keywords = "Capacity, Optimal resource allocation, Relay channel, Wideband channels",

author = "Alex Reznik and Kulkarni, {Sanjeev R.} and Sergio Verd{\'u}",

note = "Funding Information: Manuscript received February 19, 2003; revised August 2, 2004. this work was supported in part by ODDR&E MURI through the Army Research Office under Grant DAAD19-00-1-0466, Draper Laboratory under IR&D 6002 Grant DL-H-546263, and the National Science Foundation under Grant CCR-0312413. The material in this paper was presented in part at the 40th Annual Allerton Conference on Communications, Control and Computing, October 2002 [7].",

year = "2004",

month = dec,

doi = "10.1109/TIT.2004.838373",

language = "English (US)",

volume = "50",

pages = "3037--3046",

journal = "IRE Professional Group on Information Theory",

issn = "0018-9448",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "12",

}

TY - JOUR

T1 - Degraded Gaussian multirelay channel

T2 - Capacity and optimal power allocation

AU - Reznik, Alex

AU - Kulkarni, Sanjeev R.

AU - Verdú, Sergio

N1 - Funding Information: Manuscript received February 19, 2003; revised August 2, 2004. this work was supported in part by ODDR&E MURI through the Army Research Office under Grant DAAD19-00-1-0466, Draper Laboratory under IR&D 6002 Grant DL-H-546263, and the National Science Foundation under Grant CCR-0312413. The material in this paper was presented in part at the 40th Annual Allerton Conference on Communications, Control and Computing, October 2002 [7].

PY - 2004/12

Y1 - 2004/12

N2 - We determine the capacity region of a degraded Gaussian relay channel with multiple relay stages. This is done by building an inductive argument based on the single-relay capacity theorem of Cover and El Gamal. For an arbitrary distribution of noise powers, we derive the optimal power distribution strategy among the transmitter and the relays and the best possible improvement in signal-to-noise ratio (SNR) that can be achieved from using a given number of relays. The time-division multiplexing operation of the relay channel in the wideband regime is analyzed and it is shown that time division does not achieve minimum energy per bit.

AB - We determine the capacity region of a degraded Gaussian relay channel with multiple relay stages. This is done by building an inductive argument based on the single-relay capacity theorem of Cover and El Gamal. For an arbitrary distribution of noise powers, we derive the optimal power distribution strategy among the transmitter and the relays and the best possible improvement in signal-to-noise ratio (SNR) that can be achieved from using a given number of relays. The time-division multiplexing operation of the relay channel in the wideband regime is analyzed and it is shown that time division does not achieve minimum energy per bit.

KW - Capacity

KW - Optimal resource allocation

KW - Relay channel

KW - Wideband channels

UR - http://www.scopus.com/inward/record.url?scp=10644289532&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=10644289532&partnerID=8YFLogxK

U2 - 10.1109/TIT.2004.838373

DO - 10.1109/TIT.2004.838373

M3 - Article

AN - SCOPUS:10644289532

SN - 0018-9448

VL - 50

SP - 3037

EP - 3046

JO - IRE Professional Group on Information Theory

JF - IRE Professional Group on Information Theory

IS - 12

ER -

Degraded Gaussian multirelay channel: Capacity and optimal power allocation

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this