Spatial Fading Correlation for Local Scattering: A Condition of Angular Distribution

Sieskul, Bamrung Tau; Kupferschmidt, Claus; Kaiser, Thomas

doi:10.1109/tvt.2010.2103370

Cited by 9 publications

(8 citation statements)

References 40 publications

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“…Part I of this paper [1] is focused on a comparative analysis of empirical and geometrical (theoretical) models of the probability density function (PDF) of azimuth AOA (AAOA) for different environmental conditions. Empirical models are based on standard distributions such as Gaussian [2][3][4][5], Laplacian [2,3,[6][7][8][9][10][11][12], logistic [13][14][15][16], and von Mises [3,[17][18][19][20][21], which are being modified due to limited support of PDF of AAOA. The theoretical models are defined by the geometrical structures that describe the spatial position of scattering elements.…”

Section: Introductionmentioning

confidence: 99%

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Empirical Models of the Azimuthal Reception Angle—Part II: Adaptation of the Empirical Models in Analytical and Simulation Studies

Ziółkowski

Kelner

2016

Wireless Pers Commun

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This paper focuses on modeling of the statistical reception angle properties that are the result of the environmental influence on transmitted signals. Numerous measurements have shown that the statistical properties of angle of arrival (AOA) significantly depend on the type of propagation environment. In practice, this means that in the analytical and simulation studies, the use of statistical models of AOA required their adaptation to propagation conditions in research scenario. Despite the large number of papers that are devoted to the AOA modeling, the method of fitting models to the environment is not presented in any of the publications. This paper fills this gap. For the assessment of the propagation properties and environment type classification, the basis is the rms delay spread (DS). Therefore, the presented method of the model adaptation to the environment type consists of determining the relationship between the model parameter and DS of environment. Here, the probability density function (PDF) of models such as the modified Gaussian, modified Laplacian, modified logistic, and von Mises distribution are considered as the statistical models of azimuth AOA. For seven different propagation environments, the measurement results are used as a reference data. A comparative analysis shows that the modified Laplacian PDF provides the smallest error fit to measurement data. However, in theoretical analysis and simulation studies, other empirical models can be used due to relatively low approximation errors. The presented results are the basis for the adaptation error assessment of the empirical model for any of the research scenario.

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Section: Introductionmentioning

confidence: 99%

“…Therefore, in analytical analysis, e.g. [3,17], which take into account the impact of AOA on correlational and spectral properties of received signals, the empirical models are primarily used. Numerous measurements, e.g.…”

Section: Introductionmentioning

confidence: 99%

Empirical Models of the Azimuthal Reception Angle—Part II: Adaptation of the Empirical Models in Analytical and Simulation Studies

Ziółkowski

Kelner

2016

Wireless Pers Commun

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“…In the open literature, the statistical AAOA analysis shows that the empirical data approximation is based on PDF such as the Laplacian [15,21,22,[24][25][26][27][28][29], Gaussian [22,24,30,31], and von Mises [22,[32][33][34][35][36]. In this paper, the logistic distribution [37][38][39][40] …”

Section: Empirical Models Of Aaoamentioning

confidence: 97%

“…For each model, the approximation accuracy is evaluated with respect to measurement data from seven different propagation scenarios. In the literature, there are also other models such as the truncated cosine and uniform distribution in a limited angle range [22]. These models are not considered because their graphical representations are significantly different from the measurement data.…”

Section: Introductionmentioning

confidence: 99%

Empirical Models of the Azimuthal Reception Angle—Part I: Comparative Analysis of Empirical Models for Different Propagation Environments

Ziółkowski

Kelner

2016

Wireless Pers Commun

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Statistical properties of the reception angle have a significant impact on the choice of the antenna system patterns and decide on the received signal-processing methods. For angle of arrival in azimuth plane, comparative analysis of the empirical models and the approximation error evaluation are the purpose of this paper. Here, the presented analysis is focused on models such as the von Mises, modified Gaussian, modified Laplacian, and modified logistic. For each model, the approximation accuracy is determined with respect to measurement data for seven different propagation scenarios. The measures such as the least-squares error, difference of standard deviations, Kolmogorov-Smirnov statistic, and Cramer-von Mises statistic are used for evaluation of the approximation errors. Comparative analysis for four empirical models, differentiation of propagation environments, multi-criterial evaluation of approximation errors in significant degree fill a gap in the previous analysis presented in the literature. The obtained results show that the empirical models provide a better fit to the measurement data than the geometrical models, and the smallest errors of approximation are for the modified Laplacian and logistic distributions.

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“…In general, these coefficients are computed using two main approaches, namely, numerical and analytical solutions. Works in the first category focus on finding the signal correlation through numerical schemes (e.g., numerical integrations and Monte-Carlo simulations) which are computationally intensive and need long processing time to obtain the solutions [15]- [20]. In contrast, analytical expressions are computationally more reliable and require shorter processing time.…”

Section: A Related Workmentioning

confidence: 99%

On the Covariance Matrix and Capacity Evaluation of Reconfigurable Antenna Array Systems

Vakilian

Frigon

Roy

2014

IEEE Trans. Wireless Commun.

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In this paper, we derive analytical expressions to compute the covariance matrix of the signals impinging on a reconfigurable antenna array. We consider a receiver equipped with a linear antenna array where each antenna element can be independently configured to create a directive radiation pattern toward a selected direction. In our derivation, we assume a multimodal truncated Laplacian distribution to model the power angular spectrum (PAS) of the signals arriving at the array. Using the derived expressions, we are able to evaluate the correlation between the received signals as a function of the signal spatial distribution, the antenna array topology, and the radiation pattern characteristics of each element in the array. We also study the capacity of a reconfigurable multiple-input multipleoutput (RE-MIMO) system and illustrate its relation to radiation pattern configurations and characteristics. We demonstrate how the derived expressions can be used to efficiently choose the configuration for each reconfigurable antenna element in the array that leads to an optimal compromise between low receive correlation and high receive power in order to maximize the link capacity. Simulation results are provided to validate our analytical expressions.

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Spatial Fading Correlation for Local Scattering: A Condition of Angular Distribution

Cited by 9 publications

References 40 publications

Empirical Models of the Azimuthal Reception Angle—Part II: Adaptation of the Empirical Models in Analytical and Simulation Studies

Empirical Models of the Azimuthal Reception Angle—Part II: Adaptation of the Empirical Models in Analytical and Simulation Studies

Empirical Models of the Azimuthal Reception Angle—Part I: Comparative Analysis of Empirical Models for Different Propagation Environments

On the Covariance Matrix and Capacity Evaluation of Reconfigurable Antenna Array Systems

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