Maximizing the sum rate in symmetric networks of interfering links under flat power constraints

Nasreen Badruddin; Sibi Raj Bhaskaran; Jamie Evans; Stephen Hanly

doi:10.1109/ALLERTON.2008.4797534

Maximizing the sum rate in symmetric networks of interfering links under flat power constraints

Nasreen Badruddin^*, Sibi Raj Bhaskaran, Jamie Evans, Stephen Hanly

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

We consider the power control problem of maximizing the sum rate of a symmetric network of interfering links in Gaussian noise. We consider a static network: there is no time-varying fading and the power allocation is also mandated to be time and frequency flat. All transmitters have a maximum allowable average transmit power, the same for all transmitters. We solve this nonconvex problem by identifying some underlying convex structure, and show that the solution is either one link blasting at full power, or all links blasting at full power. We provide a characterization of the solution in terms of the level of cross-gain between the interfering links. There is a phase transition between these two states, as the cross-gain traverses a threshold.

Original language	English
Title of host publication	46th Annual Allerton Conference on Communication, Control, and Computing
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	46-53
Number of pages	8
ISBN (Electronic)	9781424429264
ISBN (Print)	9781424429264
DOIs	https://doi.org/10.1109/ALLERTON.2008.4797534
Publication status	Published - 2008
Externally published	Yes
Event	46th Annual Allerton Conference on Communication, Control, and Computing - Monticello, IL, United States Duration: 24 Sept 2008 → 26 Sept 2008

Other

Other	46th Annual Allerton Conference on Communication, Control, and Computing
Country/Territory	United States
City	Monticello, IL
Period	24/09/08 → 26/09/08

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10.1109/ALLERTON.2008.4797534

Cite this

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title = "Maximizing the sum rate in symmetric networks of interfering links under flat power constraints",

abstract = "We consider the power control problem of maximizing the sum rate of a symmetric network of interfering links in Gaussian noise. We consider a static network: there is no time-varying fading and the power allocation is also mandated to be time and frequency flat. All transmitters have a maximum allowable average transmit power, the same for all transmitters. We solve this nonconvex problem by identifying some underlying convex structure, and show that the solution is either one link blasting at full power, or all links blasting at full power. We provide a characterization of the solution in terms of the level of cross-gain between the interfering links. There is a phase transition between these two states, as the cross-gain traverses a threshold.",

author = "Nasreen Badruddin and Bhaskaran, {Sibi Raj} and Jamie Evans and Stephen Hanly",

year = "2008",

doi = "10.1109/ALLERTON.2008.4797534",

language = "English",

isbn = "9781424429264",

pages = "46--53",

booktitle = "46th Annual Allerton Conference on Communication, Control, and Computing",

publisher = "Institute of Electrical and Electronics Engineers (IEEE)",

address = "United States",

note = "46th Annual Allerton Conference on Communication, Control, and Computing ; Conference date: 24-09-2008 Through 26-09-2008",

}

Badruddin, N, Bhaskaran, SR, Evans, J & Hanly, S 2008, Maximizing the sum rate in symmetric networks of interfering links under flat power constraints. in 46th Annual Allerton Conference on Communication, Control, and Computing., 4797534, Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 46-53, 46th Annual Allerton Conference on Communication, Control, and Computing, Monticello, IL, United States, 24/09/08. https://doi.org/10.1109/ALLERTON.2008.4797534

Maximizing the sum rate in symmetric networks of interfering links under flat power constraints. / Badruddin, Nasreen; Bhaskaran, Sibi Raj; Evans, Jamie et al.
46th Annual Allerton Conference on Communication, Control, and Computing. Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE), 2008. p. 46-53 4797534.

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

TY - GEN

T1 - Maximizing the sum rate in symmetric networks of interfering links under flat power constraints

AU - Badruddin, Nasreen

AU - Bhaskaran, Sibi Raj

AU - Evans, Jamie

AU - Hanly, Stephen

PY - 2008

Y1 - 2008

N2 - We consider the power control problem of maximizing the sum rate of a symmetric network of interfering links in Gaussian noise. We consider a static network: there is no time-varying fading and the power allocation is also mandated to be time and frequency flat. All transmitters have a maximum allowable average transmit power, the same for all transmitters. We solve this nonconvex problem by identifying some underlying convex structure, and show that the solution is either one link blasting at full power, or all links blasting at full power. We provide a characterization of the solution in terms of the level of cross-gain between the interfering links. There is a phase transition between these two states, as the cross-gain traverses a threshold.

AB - We consider the power control problem of maximizing the sum rate of a symmetric network of interfering links in Gaussian noise. We consider a static network: there is no time-varying fading and the power allocation is also mandated to be time and frequency flat. All transmitters have a maximum allowable average transmit power, the same for all transmitters. We solve this nonconvex problem by identifying some underlying convex structure, and show that the solution is either one link blasting at full power, or all links blasting at full power. We provide a characterization of the solution in terms of the level of cross-gain between the interfering links. There is a phase transition between these two states, as the cross-gain traverses a threshold.

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SP - 46

EP - 53

BT - 46th Annual Allerton Conference on Communication, Control, and Computing

PB - Institute of Electrical and Electronics Engineers (IEEE)

CY - Piscataway, NJ

T2 - 46th Annual Allerton Conference on Communication, Control, and Computing

Y2 - 24 September 2008 through 26 September 2008

ER -

Maximizing the sum rate in symmetric networks of interfering links under flat power constraints

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