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Cross-Correlation of Large-Scale Parameters in Multi-Link Systems : Analysis using the Box-Cox Transformation

Dahman, Ghassan LU ; Flordelis, Jose LU and Tufvesson, Fredrik LU (2018) In IEEE Access 6. p.13555-13564
Abstract

Spatially distributed transmission points connected to the same source, known as distributed antenna systems, can improve system performance compared to single-link traditional systems. However, the anticipated gain depends heavily on the cross-correlation properties of the large-scale parameters (LSPs) of the different links. Usually, measured LSPs—except the large-scale fading—have non-Gaussian distributions. Therefore, in order to study their multi-link cross-correlation properties, scenario- and parameter-specific adhoc transformations are applied such that the LSPs have Gaussian distributions in the transform domain [1], [2]. In this work, we propose using the... (More)

Spatially distributed transmission points connected to the same source, known as distributed antenna systems, can improve system performance compared to single-link traditional systems. However, the anticipated gain depends heavily on the cross-correlation properties of the large-scale parameters (LSPs) of the different links. Usually, measured LSPs—except the large-scale fading—have non-Gaussian distributions. Therefore, in order to study their multi-link cross-correlation properties, scenario- and parameter-specific adhoc transformations are applied such that the LSPs have Gaussian distributions in the transform domain [1], [2]. In this work, we propose using the Box-Cox transformation as a general framework for homogenizing this conversion step. The Box-Cox transformation is by nature not distribution specific; therefore, it can be used regardless of the empirical distributions of the studied LSPs. We demonstrate the applicability of the proposed framework by studying multi-link fully-coherent propagation measurements of four base stations and one mobile station in a suburban microcell environment at 2.6 GHz. The inter- and intra-link crosscorrelation of four LSPs—the large-scale fading, and the delay, azimuth, and elevation spreads—are analyzed and their distributions are modeled. Based on our analysis, it is found that, for the investigated environment: 1) the LSPs of the different links can be modeled using unimodal and bimodal Gaussian distributions, and 2) the inter- and intra-link cross-correlation coefficients of the different studied LSPs can be modeled using the Truncated Gaussian distribution. The proposed models are validated using the Kolmogorov-Smirnov test and their parameters are provided.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Distributed antenna systems, inter-link cross-correlation, intra-link cross-correlation, large-scale parameters, multi-link systems
in
IEEE Access
volume
6
pages
13555 - 13564
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85040977940
ISSN
2169-3536
DOI
10.1109/ACCESS.2018.2797418
language
English
LU publication?
yes
id
ab3a621f-604a-4707-b8ea-d25d5a3927ba
date added to LUP
2018-02-05 13:49:51
date last changed
2019-02-20 11:06:38
@article{ab3a621f-604a-4707-b8ea-d25d5a3927ba,
  abstract     = {<p>Spatially distributed transmission points connected to the same source, known as distributed antenna systems, can improve system performance compared to single-link traditional systems. However, the anticipated gain depends heavily on the cross-correlation properties of the large-scale parameters (LSPs) of the different links. Usually, measured LSPs&amp;#x2014;except the large-scale fading&amp;#x2014;have non-Gaussian distributions. Therefore, in order to study their multi-link cross-correlation properties, scenario- and parameter-specific adhoc transformations are applied such that the LSPs have Gaussian distributions in the transform domain &amp;#x005B;1&amp;#x005D;, &amp;#x005B;2&amp;#x005D;. In this work, we propose using the Box-Cox transformation as a general framework for homogenizing this conversion step. The Box-Cox transformation is by nature not distribution specific; therefore, it can be used regardless of the empirical distributions of the studied LSPs. We demonstrate the applicability of the proposed framework by studying multi-link fully-coherent propagation measurements of four base stations and one mobile station in a suburban microcell environment at 2.6 GHz. The inter- and intra-link crosscorrelation of four LSPs&amp;#x2014;the large-scale fading, and the delay, azimuth, and elevation spreads&amp;#x2014;are analyzed and their distributions are modeled. Based on our analysis, it is found that, for the investigated environment: 1) the LSPs of the different links can be modeled using unimodal and bimodal Gaussian distributions, and 2) the inter- and intra-link cross-correlation coefficients of the different studied LSPs can be modeled using the Truncated Gaussian distribution. The proposed models are validated using the Kolmogorov-Smirnov test and their parameters are provided.</p>},
  author       = {Dahman, Ghassan and Flordelis, Jose and Tufvesson, Fredrik},
  issn         = {2169-3536},
  keyword      = {Distributed antenna systems,inter-link cross-correlation,intra-link cross-correlation,large-scale parameters,multi-link systems},
  language     = {eng},
  month        = {01},
  pages        = {13555--13564},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  series       = {IEEE Access},
  title        = {Cross-Correlation of Large-Scale Parameters in Multi-Link Systems : Analysis using the Box-Cox Transformation},
  url          = {http://dx.doi.org/10.1109/ACCESS.2018.2797418},
  volume       = {6},
  year         = {2018},
}