Capacity of fading broadcast channels with transmitter ordering CSI

Rajiv Agarwal; Yifan Liang; Andrea Goldsmith

Capacity of fading broadcast channels with transmitter ordering CSI

Rajiv Agarwal, Yifan Liang, Andrea Goldsmith

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

Abstract

We derive the ergodic capacity region for a fading broadcast channel when the transmitter knows only the channel ordering information of the users and the receiver knows its transmitter-receiver channel gain and the ordering information at any time instant. We show that superposition coding based on the ordering information achieves the ergodic capacity region. Moreover, we prove that as the number of users goes to infinity, the capacity region with just transmitter ordering information is the same as the capacity region with perfect channel knowledge at the transmitter. Numerical results are provided for a Rayleigh fading channel.

Original language	English (US)
Title of host publication	43rd Annual Allerton Conference on Communication, Control and Computing 2005
Publisher	University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering
Pages	1588-1597
Number of pages	10
ISBN (Electronic)	9781604234916
State	Published - 2005
Externally published	Yes
Event	43rd Annual Allerton Conference on Communication, Control and Computing 2005 - Monticello, United States Duration: Sep 28 2005 → Sep 30 2005

Publication series

Name	43rd Annual Allerton Conference on Communication, Control and Computing 2005
Volume	3

Other

Other	43rd Annual Allerton Conference on Communication, Control and Computing 2005
Country/Territory	United States
City	Monticello
Period	9/28/05 → 9/30/05

All Science Journal Classification (ASJC) codes

Computer Networks and Communications
Computer Science Applications

Cite this

Agarwal, R., Liang, Y., & Goldsmith, A. (2005). Capacity of fading broadcast channels with transmitter ordering CSI. In 43rd Annual Allerton Conference on Communication, Control and Computing 2005 (pp. 1588-1597). (43rd Annual Allerton Conference on Communication, Control and Computing 2005; Vol. 3). University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering.

Agarwal, Rajiv ; Liang, Yifan ; Goldsmith, Andrea. / Capacity of fading broadcast channels with transmitter ordering CSI. 43rd Annual Allerton Conference on Communication, Control and Computing 2005. University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering, 2005. pp. 1588-1597 (43rd Annual Allerton Conference on Communication, Control and Computing 2005).

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title = "Capacity of fading broadcast channels with transmitter ordering CSI",

abstract = "We derive the ergodic capacity region for a fading broadcast channel when the transmitter knows only the channel ordering information of the users and the receiver knows its transmitter-receiver channel gain and the ordering information at any time instant. We show that superposition coding based on the ordering information achieves the ergodic capacity region. Moreover, we prove that as the number of users goes to infinity, the capacity region with just transmitter ordering information is the same as the capacity region with perfect channel knowledge at the transmitter. Numerical results are provided for a Rayleigh fading channel.",

author = "Rajiv Agarwal and Yifan Liang and Andrea Goldsmith",

year = "2005",

language = "English (US)",

series = "43rd Annual Allerton Conference on Communication, Control and Computing 2005",

publisher = "University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering",

pages = "1588--1597",

booktitle = "43rd Annual Allerton Conference on Communication, Control and Computing 2005",

note = "43rd Annual Allerton Conference on Communication, Control and Computing 2005 ; Conference date: 28-09-2005 Through 30-09-2005",

}

Agarwal, R, Liang, Y & Goldsmith, A 2005, Capacity of fading broadcast channels with transmitter ordering CSI. in 43rd Annual Allerton Conference on Communication, Control and Computing 2005. 43rd Annual Allerton Conference on Communication, Control and Computing 2005, vol. 3, University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering, pp. 1588-1597, 43rd Annual Allerton Conference on Communication, Control and Computing 2005, Monticello, United States, 9/28/05.

Capacity of fading broadcast channels with transmitter ordering CSI. / Agarwal, Rajiv; Liang, Yifan; Goldsmith, Andrea.
43rd Annual Allerton Conference on Communication, Control and Computing 2005. University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering, 2005. p. 1588-1597 (43rd Annual Allerton Conference on Communication, Control and Computing 2005; Vol. 3).

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

TY - GEN

T1 - Capacity of fading broadcast channels with transmitter ordering CSI

AU - Agarwal, Rajiv

AU - Liang, Yifan

AU - Goldsmith, Andrea

PY - 2005

Y1 - 2005

N2 - We derive the ergodic capacity region for a fading broadcast channel when the transmitter knows only the channel ordering information of the users and the receiver knows its transmitter-receiver channel gain and the ordering information at any time instant. We show that superposition coding based on the ordering information achieves the ergodic capacity region. Moreover, we prove that as the number of users goes to infinity, the capacity region with just transmitter ordering information is the same as the capacity region with perfect channel knowledge at the transmitter. Numerical results are provided for a Rayleigh fading channel.

AB - We derive the ergodic capacity region for a fading broadcast channel when the transmitter knows only the channel ordering information of the users and the receiver knows its transmitter-receiver channel gain and the ordering information at any time instant. We show that superposition coding based on the ordering information achieves the ergodic capacity region. Moreover, we prove that as the number of users goes to infinity, the capacity region with just transmitter ordering information is the same as the capacity region with perfect channel knowledge at the transmitter. Numerical results are provided for a Rayleigh fading channel.

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M3 - Conference contribution

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T3 - 43rd Annual Allerton Conference on Communication, Control and Computing 2005

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BT - 43rd Annual Allerton Conference on Communication, Control and Computing 2005

PB - University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering

T2 - 43rd Annual Allerton Conference on Communication, Control and Computing 2005

Y2 - 28 September 2005 through 30 September 2005

ER -

Agarwal R, Liang Y, Goldsmith A. Capacity of fading broadcast channels with transmitter ordering CSI. In 43rd Annual Allerton Conference on Communication, Control and Computing 2005. University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering. 2005. p. 1588-1597. (43rd Annual Allerton Conference on Communication, Control and Computing 2005).

Capacity of fading broadcast channels with transmitter ordering CSI

Abstract

Publication series

Other

All Science Journal Classification (ASJC) codes

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