On the capture probability for a large number of stations

Bruce Hajek; Arvind Krishna; Richard O. Lamaire

doi:10.1109/26.554374

On the capture probability for a large number of stations

Bruce Hajek, Arvind Krishna, Richard O. Lamaire

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

Abstract

The probability of capture under a model based on the ratio of the largest received power to the sum of interference powers is examined in the limit of a large number of transmitting stations. It is shown in great generality that the limit depends only on the capture ratio threshold and the roll-off exponent of the distribution of power received from a typical station. This exponent is insensitive to many typical channel effects such as Rician or Rayleigh fading and log-normal shadowing. The model is suitable for large systems with noncoherently combined interference. Index Terms- Direct-sequence spread-spectrum, log-normal shadowing, near-far effect.

Original language	English (US)
Pages (from-to)	254-260
Number of pages	7
Journal	IEEE Transactions on Communications
Volume	45
Issue number	2
DOIs	https://doi.org/10.1109/26.554374
State	Published - 1997

ASJC Scopus subject areas

Electrical and Electronic Engineering

Online availability

10.1109/26.554374

Library availability

Discover UIUC Full Text

Cite this

@article{b58fb1b2b3bb4ddbb152b0ea47e48b21,

title = "On the capture probability for a large number of stations",

abstract = "The probability of capture under a model based on the ratio of the largest received power to the sum of interference powers is examined in the limit of a large number of transmitting stations. It is shown in great generality that the limit depends only on the capture ratio threshold and the roll-off exponent of the distribution of power received from a typical station. This exponent is insensitive to many typical channel effects such as Rician or Rayleigh fading and log-normal shadowing. The model is suitable for large systems with noncoherently combined interference. Index Terms- Direct-sequence spread-spectrum, log-normal shadowing, near-far effect.",

author = "Bruce Hajek and Arvind Krishna and Lamaire, {Richard O.}",

note = "Funding Information: Paper approved by N. C. Beaulieu, the Editor for Wireless Communication Theory of the IEEE Communications Society. Manuscript received June 7, 1995; revised August 20, 1996. This work was supported in part by the Joint Services Electronics Program under Grant N00014-90-J-1270, and the US Army Research Office under Grant DAAH04-95-1-0246. This paper was presented at the IEEE Vehicular Technology Conference, Chicago, IL, July 1995.",

year = "1997",

doi = "10.1109/26.554374",

language = "English (US)",

volume = "45",

pages = "254--260",

journal = "IEEE Transactions on Communications",

issn = "0090-6778",

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

number = "2",

}

TY - JOUR

T1 - On the capture probability for a large number of stations

AU - Hajek, Bruce

AU - Krishna, Arvind

AU - Lamaire, Richard O.

N1 - Funding Information: Paper approved by N. C. Beaulieu, the Editor for Wireless Communication Theory of the IEEE Communications Society. Manuscript received June 7, 1995; revised August 20, 1996. This work was supported in part by the Joint Services Electronics Program under Grant N00014-90-J-1270, and the US Army Research Office under Grant DAAH04-95-1-0246. This paper was presented at the IEEE Vehicular Technology Conference, Chicago, IL, July 1995.

PY - 1997

Y1 - 1997

N2 - The probability of capture under a model based on the ratio of the largest received power to the sum of interference powers is examined in the limit of a large number of transmitting stations. It is shown in great generality that the limit depends only on the capture ratio threshold and the roll-off exponent of the distribution of power received from a typical station. This exponent is insensitive to many typical channel effects such as Rician or Rayleigh fading and log-normal shadowing. The model is suitable for large systems with noncoherently combined interference. Index Terms- Direct-sequence spread-spectrum, log-normal shadowing, near-far effect.

AB - The probability of capture under a model based on the ratio of the largest received power to the sum of interference powers is examined in the limit of a large number of transmitting stations. It is shown in great generality that the limit depends only on the capture ratio threshold and the roll-off exponent of the distribution of power received from a typical station. This exponent is insensitive to many typical channel effects such as Rician or Rayleigh fading and log-normal shadowing. The model is suitable for large systems with noncoherently combined interference. Index Terms- Direct-sequence spread-spectrum, log-normal shadowing, near-far effect.

UR - http://www.scopus.com/inward/record.url?scp=0031079164&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031079164&partnerID=8YFLogxK

U2 - 10.1109/26.554374

DO - 10.1109/26.554374

M3 - Article

AN - SCOPUS:0031079164

SN - 0090-6778

VL - 45

SP - 254

EP - 260

JO - IEEE Transactions on Communications

JF - IEEE Transactions on Communications

IS - 2

ER -

On the capture probability for a large number of stations

Abstract

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this