On the rates of convergence of the wireless multi-access interference distribution to the normal distribution

Hazer Inaltekin; Stephen V. Hanly

On the rates of convergence of the wireless multi-access interference distribution to the normal distribution

Hazer Inaltekin^*, Stephen V. Hanly

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

It is of prime importance to reveal the structure of wireless multi-access interference distributions to compute many performance bounds and metrics for wireless networks such as transmission capacity, outage probability and bit-errorrate. However, at the present, there are no closed form expressions for the multi-access interference distributions in wireless networks apart from a very special case. This paper presents a principled methodology towards the resolution of this bottleneck by establishing rates of convergence of the multi-access interference distribution to a Gaussian distribution for any given bounded power-law decaying path-loss function •. In particular, it is shown that the interference distribution converges to the Gaussian distribution with the same mean and variance at a rate √1/•, where •• 0 is the intensity of the homogenous planar Poisson point process generating node locations.

Original language	English
Title of host publication	WiOpt 2010 - 8th Intl. Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	453-458
Number of pages	6
ISBN (Print)	9781424475254
Publication status	Published - 2010
Externally published	Yes
Event	8th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2010 - Avignon, France Duration: 31 May 2010 → 4 Jun 2010

Other

Other	8th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2010
Country/Territory	France
City	Avignon
Period	31/05/10 → 4/06/10

Cite this

@inproceedings{93e0036c1dfd4bfd9eb5b6e0786cf437,

title = "On the rates of convergence of the wireless multi-access interference distribution to the normal distribution",

abstract = "It is of prime importance to reveal the structure of wireless multi-access interference distributions to compute many performance bounds and metrics for wireless networks such as transmission capacity, outage probability and bit-errorrate. However, at the present, there are no closed form expressions for the multi-access interference distributions in wireless networks apart from a very special case. This paper presents a principled methodology towards the resolution of this bottleneck by establishing rates of convergence of the multi-access interference distribution to a Gaussian distribution for any given bounded power-law decaying path-loss function •. In particular, it is shown that the interference distribution converges to the Gaussian distribution with the same mean and variance at a rate √1/•, where •• 0 is the intensity of the homogenous planar Poisson point process generating node locations.",

author = "Hazer Inaltekin and Hanly, {Stephen V.}",

year = "2010",

language = "English",

isbn = "9781424475254",

pages = "453--458",

booktitle = "WiOpt 2010 - 8th Intl. Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks",

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

address = "United States",

note = "8th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2010 ; Conference date: 31-05-2010 Through 04-06-2010",

}

Inaltekin, H & Hanly, SV 2010, On the rates of convergence of the wireless multi-access interference distribution to the normal distribution. in WiOpt 2010 - 8th Intl. Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks., 5519525, Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 453-458, 8th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2010, Avignon, France, 31/05/10.

On the rates of convergence of the wireless multi-access interference distribution to the normal distribution. / Inaltekin, Hazer ; Hanly, Stephen V.
WiOpt 2010 - 8th Intl. Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks. Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE), 2010. p. 453-458 5519525.

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

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T1 - On the rates of convergence of the wireless multi-access interference distribution to the normal distribution

AU - Inaltekin, Hazer

AU - Hanly, Stephen V.

PY - 2010

Y1 - 2010

N2 - It is of prime importance to reveal the structure of wireless multi-access interference distributions to compute many performance bounds and metrics for wireless networks such as transmission capacity, outage probability and bit-errorrate. However, at the present, there are no closed form expressions for the multi-access interference distributions in wireless networks apart from a very special case. This paper presents a principled methodology towards the resolution of this bottleneck by establishing rates of convergence of the multi-access interference distribution to a Gaussian distribution for any given bounded power-law decaying path-loss function •. In particular, it is shown that the interference distribution converges to the Gaussian distribution with the same mean and variance at a rate √1/•, where •• 0 is the intensity of the homogenous planar Poisson point process generating node locations.

AB - It is of prime importance to reveal the structure of wireless multi-access interference distributions to compute many performance bounds and metrics for wireless networks such as transmission capacity, outage probability and bit-errorrate. However, at the present, there are no closed form expressions for the multi-access interference distributions in wireless networks apart from a very special case. This paper presents a principled methodology towards the resolution of this bottleneck by establishing rates of convergence of the multi-access interference distribution to a Gaussian distribution for any given bounded power-law decaying path-loss function •. In particular, it is shown that the interference distribution converges to the Gaussian distribution with the same mean and variance at a rate √1/•, where •• 0 is the intensity of the homogenous planar Poisson point process generating node locations.

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M3 - Conference proceeding contribution

AN - SCOPUS:77955908818

SN - 9781424475254

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BT - WiOpt 2010 - 8th Intl. Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks

PB - Institute of Electrical and Electronics Engineers (IEEE)

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T2 - 8th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2010

Y2 - 31 May 2010 through 4 June 2010

ER -

On the rates of convergence of the wireless multi-access interference distribution to the normal distribution

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