The distribution of link distances in distributed multiple-input multiple-output cellular systems

Olli Apilo; Mika Lasanen; Sandrine Boumard; Aarne Mämmelä

doi:10.1109/VTCSpring.2013.6692779

The distribution of link distances in distributed multiple-input multiple-output cellular systems

Olli Apilo, Mika Lasanen, Sandrine Boumard, Aarne Mämmelä

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

2 Citations (Scopus)

Abstract

The probability density function (pdf) of the distance between randomly located user equipment (UE) and its nth closest base station (BS) is studied in this paper. The knowledge of these pdfs is essential in the analysis of cellular distributed multiple-input multiple-output (MIMO) systems where N BSs cooperate in transmission or reception. We show that earlier results on ordered distance distributions in regular point patterns can be applied to the analysis of distributed MIMO systems when the UE distribution is uniform and the BS locations form a regular lattice. We present previously unpublished pdfs of the distance between a cell edge UE, whose distance to the closest BS is at least r, and four closest BSs in the hexagonal cell topology. The pdfs are verified by simulated histograms. As an example on the application of the results, we show how the signal-to-noise ratio (SNR) gain from uplink cooperative reception increases as the transmitting UE moves further from the cell center. The results from this paper can be applied to the analysis of received and transmitted (in case of power adaptive transmission) power in distributed MIMO systems.

Original language	English
Title of host publication	2013 IEEE 77th Vehicular Technology Conference
Subtitle of host publication	VTC Spring
Publisher	IEEE Institute of Electrical and Electronic Engineers
ISBN (Electronic)	978-1-4673-6337-2
DOIs	https://doi.org/10.1109/VTCSpring.2013.6692779
Publication status	Published - 2013
MoE publication type	A4 Article in a conference publication
Event	IEEE 77th Vehicular Technology Conference, VTC 2013 Spring - Dresden, Germany Duration: 2 Jun 2013 → 5 Jun 2013 Conference number: 77

Conference

Conference	IEEE 77th Vehicular Technology Conference, VTC 2013 Spring
Abbreviated title	VTC 2013 Spring
Country/Territory	Germany
City	Dresden
Period	2/06/13 → 5/06/13

Keywords

cellular systems
distributed MIMO
link distance distribution
regular point pattern
SNR gain

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10.1109/VTCSpring.2013.6692779

Cite this

@inproceedings{276639086eae4cf0b181c9f49e833436,

title = "The distribution of link distances in distributed multiple-input multiple-output cellular systems",

abstract = "The probability density function (pdf) of the distance between randomly located user equipment (UE) and its nth closest base station (BS) is studied in this paper. The knowledge of these pdfs is essential in the analysis of cellular distributed multiple-input multiple-output (MIMO) systems where N BSs cooperate in transmission or reception. We show that earlier results on ordered distance distributions in regular point patterns can be applied to the analysis of distributed MIMO systems when the UE distribution is uniform and the BS locations form a regular lattice. We present previously unpublished pdfs of the distance between a cell edge UE, whose distance to the closest BS is at least r, and four closest BSs in the hexagonal cell topology. The pdfs are verified by simulated histograms. As an example on the application of the results, we show how the signal-to-noise ratio (SNR) gain from uplink cooperative reception increases as the transmitting UE moves further from the cell center. The results from this paper can be applied to the analysis of received and transmitted (in case of power adaptive transmission) power in distributed MIMO systems.",

keywords = "cellular systems, distributed MIMO, link distance distribution, regular point pattern, SNR gain",

author = "Olli Apilo and Mika Lasanen and Sandrine Boumard and Aarne M{\"a}mmel{\"a}",

note = "Project code: 73341 ; IEEE 77th Vehicular Technology Conference, VTC 2013 Spring, VTC 2013 Spring ; Conference date: 02-06-2013 Through 05-06-2013",

year = "2013",

doi = "10.1109/VTCSpring.2013.6692779",

language = "English",

booktitle = "2013 IEEE 77th Vehicular Technology Conference",

publisher = "IEEE Institute of Electrical and Electronic Engineers",

address = "United States",

}

Apilo, O , Lasanen, M, Boumard, S & Mämmelä, A 2013, The distribution of link distances in distributed multiple-input multiple-output cellular systems. in 2013 IEEE 77th Vehicular Technology Conference: VTC Spring. IEEE Institute of Electrical and Electronic Engineers, IEEE 77th Vehicular Technology Conference, VTC 2013 Spring, Dresden, Saxony, Germany, 2/06/13. https://doi.org/10.1109/VTCSpring.2013.6692779

The distribution of link distances in distributed multiple-input multiple-output cellular systems. / Apilo, Olli ; Lasanen, Mika; Boumard, Sandrine et al.
2013 IEEE 77th Vehicular Technology Conference: VTC Spring. IEEE Institute of Electrical and Electronic Engineers, 2013.

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

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AU - Lasanen, Mika

AU - Boumard, Sandrine

AU - Mämmelä, Aarne

N1 - Conference code: 77

PY - 2013

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N2 - The probability density function (pdf) of the distance between randomly located user equipment (UE) and its nth closest base station (BS) is studied in this paper. The knowledge of these pdfs is essential in the analysis of cellular distributed multiple-input multiple-output (MIMO) systems where N BSs cooperate in transmission or reception. We show that earlier results on ordered distance distributions in regular point patterns can be applied to the analysis of distributed MIMO systems when the UE distribution is uniform and the BS locations form a regular lattice. We present previously unpublished pdfs of the distance between a cell edge UE, whose distance to the closest BS is at least r, and four closest BSs in the hexagonal cell topology. The pdfs are verified by simulated histograms. As an example on the application of the results, we show how the signal-to-noise ratio (SNR) gain from uplink cooperative reception increases as the transmitting UE moves further from the cell center. The results from this paper can be applied to the analysis of received and transmitted (in case of power adaptive transmission) power in distributed MIMO systems.

AB - The probability density function (pdf) of the distance between randomly located user equipment (UE) and its nth closest base station (BS) is studied in this paper. The knowledge of these pdfs is essential in the analysis of cellular distributed multiple-input multiple-output (MIMO) systems where N BSs cooperate in transmission or reception. We show that earlier results on ordered distance distributions in regular point patterns can be applied to the analysis of distributed MIMO systems when the UE distribution is uniform and the BS locations form a regular lattice. We present previously unpublished pdfs of the distance between a cell edge UE, whose distance to the closest BS is at least r, and four closest BSs in the hexagonal cell topology. The pdfs are verified by simulated histograms. As an example on the application of the results, we show how the signal-to-noise ratio (SNR) gain from uplink cooperative reception increases as the transmitting UE moves further from the cell center. The results from this paper can be applied to the analysis of received and transmitted (in case of power adaptive transmission) power in distributed MIMO systems.

KW - cellular systems

KW - distributed MIMO

KW - link distance distribution

KW - regular point pattern

KW - SNR gain

U2 - 10.1109/VTCSpring.2013.6692779

DO - 10.1109/VTCSpring.2013.6692779

M3 - Conference article in proceedings

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PB - IEEE Institute of Electrical and Electronic Engineers

T2 - IEEE 77th Vehicular Technology Conference, VTC 2013 Spring

Y2 - 2 June 2013 through 5 June 2013

ER -

The distribution of link distances in distributed multiple-input multiple-output cellular systems

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