A Closed-Form Approximation of the SIR Distribution in a LEO Uplink Channel

Jouko Angervuori; R. Wichman

doi:10.1109/GCWkshps56602.2022.10008485

A Closed-Form Approximation of the SIR Distribution in a LEO Uplink Channel

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Abstract

The Low Earth Orbit (LEO) satellite networks will improve the quality of future communication networks. The rapid expansion of LEO networks brings up considerations of man-made interference from terrestrial networks or other LEO terminals. Especially the future terrestrial networks will cause interference in satellite receivers as higher frequency bands will be utilized in the emerging 5G and beyond networks. We study the distribution of signal-to-interference ratio (SIR) in a narrow beam LEO satellite receiver affected by a dense heterogeneous set of interfering transmitters. We propose that the distribution of interference power approximates the Gaussian distribution for the positive values. Furthermore, we suggest that the distribution of SIR follows the gamma distribution. We use the tools of stochastic geometry and derive the location, shape, and scale parameters for the distributions of interference and SIR. The parameters depend on the amount of interfering transmitters inside the receiving satellite’s 3 dB footprint, the transmitting powers, and the slow and fast fading conditions.

Original language	English
Title of host publication	2022 IEEE Globecom Workshops (GC Wkshps)
Publisher	IEEE
Pages	856-861
Number of pages	6
ISBN (Electronic)	978-1-6654-5975-4
DOIs	https://doi.org/10.1109/GCWkshps56602.2022.10008485
Publication status	Published - 12 Jan 2023
MoE publication type	A4 Conference publication
Event	IEEE Globecom Workshops - Rio de Janeiro, Brazil Duration: 4 Dec 2022 → 8 Dec 2022

Conference

Conference	IEEE Globecom Workshops
Abbreviated title	GC Wkshps
Country/Territory	Brazil
City	Rio de Janeiro
Period	04/12/2022 → 08/12/2022

Keywords

Gamma distribution
Fading channels
Satellites
Transmitters
Shape
Urban areas
Low earth orbit satellites

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10.1109/GCWkshps56602.2022.10008485

a145-angervuori paperAccepted author manuscript, 4.43 MB

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title = "A Closed-Form Approximation of the SIR Distribution in a LEO Uplink Channel",

abstract = "The Low Earth Orbit (LEO) satellite networks will improve the quality of future communication networks. The rapid expansion of LEO networks brings up considerations of man-made interference from terrestrial networks or other LEO terminals. Especially the future terrestrial networks will cause interference in satellite receivers as higher frequency bands will be utilized in the emerging 5G and beyond networks. We study the distribution of signal-to-interference ratio (SIR) in a narrow beam LEO satellite receiver affected by a dense heterogeneous set of interfering transmitters. We propose that the distribution of interference power approximates the Gaussian distribution for the positive values. Furthermore, we suggest that the distribution of SIR follows the gamma distribution. We use the tools of stochastic geometry and derive the location, shape, and scale parameters for the distributions of interference and SIR. The parameters depend on the amount of interfering transmitters inside the receiving satellite{\textquoteright}s 3 dB footprint, the transmitting powers, and the slow and fast fading conditions.",

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T1 - A Closed-Form Approximation of the SIR Distribution in a LEO Uplink Channel

AU - Angervuori, Jouko

AU - Wichman, R.

PY - 2023/1/12

Y1 - 2023/1/12

N2 - The Low Earth Orbit (LEO) satellite networks will improve the quality of future communication networks. The rapid expansion of LEO networks brings up considerations of man-made interference from terrestrial networks or other LEO terminals. Especially the future terrestrial networks will cause interference in satellite receivers as higher frequency bands will be utilized in the emerging 5G and beyond networks. We study the distribution of signal-to-interference ratio (SIR) in a narrow beam LEO satellite receiver affected by a dense heterogeneous set of interfering transmitters. We propose that the distribution of interference power approximates the Gaussian distribution for the positive values. Furthermore, we suggest that the distribution of SIR follows the gamma distribution. We use the tools of stochastic geometry and derive the location, shape, and scale parameters for the distributions of interference and SIR. The parameters depend on the amount of interfering transmitters inside the receiving satellite’s 3 dB footprint, the transmitting powers, and the slow and fast fading conditions.

AB - The Low Earth Orbit (LEO) satellite networks will improve the quality of future communication networks. The rapid expansion of LEO networks brings up considerations of man-made interference from terrestrial networks or other LEO terminals. Especially the future terrestrial networks will cause interference in satellite receivers as higher frequency bands will be utilized in the emerging 5G and beyond networks. We study the distribution of signal-to-interference ratio (SIR) in a narrow beam LEO satellite receiver affected by a dense heterogeneous set of interfering transmitters. We propose that the distribution of interference power approximates the Gaussian distribution for the positive values. Furthermore, we suggest that the distribution of SIR follows the gamma distribution. We use the tools of stochastic geometry and derive the location, shape, and scale parameters for the distributions of interference and SIR. The parameters depend on the amount of interfering transmitters inside the receiving satellite’s 3 dB footprint, the transmitting powers, and the slow and fast fading conditions.

KW - Gamma distribution

KW - Fading channels

KW - Satellites

KW - Transmitters

KW - Shape

KW - Urban areas

KW - Low earth orbit satellites

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DO - 10.1109/GCWkshps56602.2022.10008485

M3 - Conference article in proceedings

SP - 856

EP - 861

BT - 2022 IEEE Globecom Workshops (GC Wkshps)

PB - IEEE

T2 - IEEE Globecom Workshops

Y2 - 4 December 2022 through 8 December 2022

ER -

A Closed-Form Approximation of the SIR Distribution in a LEO Uplink Channel

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Conference

Keywords

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