Interference Analysis in Wireless Networks Operating over Arbitrary Fading Channels with Heterogeneous Poisson Fields of Transmitters and Interferers

Natalia Y. Ermolova; Olav Tirkkonen

doi:10.1109/LSP.2017.2729664

Interference Analysis in Wireless Networks Operating over Arbitrary Fading Channels with Heterogeneous Poisson Fields of Transmitters and Interferers

Natalia Y. Ermolova, Olav Tirkkonen

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

4 Citations (Scopus)

Abstract

In this letter, we analyze statistics of signal-to-interference ratio in wireless networks operating over arbitrary fading channels in interference-limited scenarios with heterogeneous Poisson fields of transmitters and interferers. First, we derive expressions for the moment generating functions of aggregate interference and its negative fractional power. Then we obtain a formula for the outage probability. Depending on an operational scenario, this formula presents either an exact expression or an upper bound. Some obtained results are given in terms of Mittag-Leffler's function. This special function is implemented in standard software, which makes the presented results convenient for analysis and design of wireless networks.

Original language	English
Pages (from-to)	1388-1392
Number of pages	5
Journal	IEEE Signal Processing Letters
Volume	24
Issue number	9
DOIs	https://doi.org/10.1109/LSP.2017.2729664
Publication status	Published - Sep 2017
MoE publication type	A1 Journal article-refereed

Keywords

Aggregates
Heterogeneous wireless networks
Interference
interference statistics
Mittag-Leffler's function
Numerical models
Poisson point process
Rayleigh channels
Shape
Wireless networks

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title = "Interference Analysis in Wireless Networks Operating over Arbitrary Fading Channels with Heterogeneous Poisson Fields of Transmitters and Interferers",

abstract = "In this letter, we analyze statistics of signal-to-interference ratio in wireless networks operating over arbitrary fading channels in interference-limited scenarios with heterogeneous Poisson fields of transmitters and interferers. First, we derive expressions for the moment generating functions of aggregate interference and its negative fractional power. Then we obtain a formula for the outage probability. Depending on an operational scenario, this formula presents either an exact expression or an upper bound. Some obtained results are given in terms of Mittag-Leffler's function. This special function is implemented in standard software, which makes the presented results convenient for analysis and design of wireless networks.",

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Y1 - 2017/9

N2 - In this letter, we analyze statistics of signal-to-interference ratio in wireless networks operating over arbitrary fading channels in interference-limited scenarios with heterogeneous Poisson fields of transmitters and interferers. First, we derive expressions for the moment generating functions of aggregate interference and its negative fractional power. Then we obtain a formula for the outage probability. Depending on an operational scenario, this formula presents either an exact expression or an upper bound. Some obtained results are given in terms of Mittag-Leffler's function. This special function is implemented in standard software, which makes the presented results convenient for analysis and design of wireless networks.

AB - In this letter, we analyze statistics of signal-to-interference ratio in wireless networks operating over arbitrary fading channels in interference-limited scenarios with heterogeneous Poisson fields of transmitters and interferers. First, we derive expressions for the moment generating functions of aggregate interference and its negative fractional power. Then we obtain a formula for the outage probability. Depending on an operational scenario, this formula presents either an exact expression or an upper bound. Some obtained results are given in terms of Mittag-Leffler's function. This special function is implemented in standard software, which makes the presented results convenient for analysis and design of wireless networks.

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KW - Heterogeneous wireless networks

KW - Interference

KW - interference statistics

KW - Mittag-Leffler's function

KW - Numerical models

KW - Poisson point process

KW - Rayleigh channels

KW - Shape

KW - Wireless networks

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M3 - Article

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JO - IEEE Signal Processing Letters

JF - IEEE Signal Processing Letters

SN - 1070-9908

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Interference Analysis in Wireless Networks Operating over Arbitrary Fading Channels with Heterogeneous Poisson Fields of Transmitters and Interferers

Abstract

Keywords

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