Advanced

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
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.

(Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
epub
subject
keywords
Distributed antenna systems, inter-link cross-correlation, intra-link cross-correlation, large-scale parameters, multi-link systems
in
IEEE Access
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85040977940
ISSN
2169-3536
DOI
language
English
LU publication?
yes
id
ab3a621f-604a-4707-b8ea-d25d5a3927ba
date added to LUP
2018-02-05 13:49:51
date last changed
2018-05-29 12:31:15
@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},
  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/},
  year         = {2018},
}