Angle and time of arrival statistics for circular and elliptical scattering models

Ertel, R.B.; Reed, Jennifer L.

doi:10.1109/49.806814

Cited by 265 publications

(194 citation statements)

References 4 publications

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“…Evaluation of (20) requires the derivation of . The latter can be expressed as detailed in [23], assuming that the impact of the exclusion disc is negligible as shown in (21), at the bottom of the page, where and are, respectively, the semimajor and semiminor axis of the ellipse…”

Section: E Determination Of Key Parametersmentioning

confidence: 99%

A physical scattering model for MIMO macrocellular broadband wireless channels

Oestges

Erceg²,

Paulraj³

2003

IEEE J. Select. Areas Commun.

103

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Abstract-This paper presents a physical scattering model that predicts multiple-input multiple-output (MIMO) channel characteristics conforming well to experimental observations in macrocells. Our approach is to start with a given single-input single-output power-delay profile (defined for specific range, bandwidth and antenna parameters) and fit a scattering model that characterizes the MIMO channel. From the derived scattering model and antenna array configurations, the MIMO channel is computed using a ray-based method. Simulations of several MIMO channels are shown to exhibit experimentally observed channel correlations, antenna beamwidth effect, range dependency, and frequency selectivity.Index Terms-Broadband communication, indexing terms multiple-input multiple-output (MIMO) systems, multipath channels, propagation, scattering.

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Section: E Determination Of Key Parametersmentioning

confidence: 99%

A physical scattering model for MIMO macrocellular broadband wireless channels

Oestges

Erceg²,

Paulraj³

2003

IEEE J. Select. Areas Commun.

103

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show abstract

“…The first group of models is defined by geometrical structures that describe the spatial location of the scattering areas in 2D or 3D. The most commonly used geometrical structures are: circle [1][2][3][4], ellipse [3,[5][6][7], ring [8], hemisphere [9], cutting hemisphere [10], and cylinder [11][12][13]. Distribution of scatterers in propagation environment is an additional characteristic that defines each geometrical model.…”

Section: Introductionmentioning

confidence: 99%

“…Distribution of scatterers in propagation environment is an additional characteristic that defines each geometrical model. For these models, the following distributions are used: uniform [2,4,5,8,14], Gaussian [15,16], Raleigh and exponential [2], hyperbolic [1], conical [17], parabolic [3,18], and inverted parabolic [19]. The choice of the geometrical structure (shape, position, size) and scattering distribution determines the accuracy of the mapping of the actual propagation conditions.…”

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 these models, the GBSMs are most widely used in V2V communication systems for theoretical analysis of channel statistics and performance evaluation, which can be classified as regular-shaped GBSMs (RS-GBSMs) [5][6][7][8][9][10] and irregular-shape GBSMs [11,12], mainly depending on whether scatterers are located on regular shapes or irregular shapes. The authors of [5][6][7][8] presented RS-GBSMs consisting two-ring, two-cylinder, and one ellipse models. However, their underlying assumption of all scatterers is being uniformly distributed on regular geometries, which does not agree with the realistic measurements.…”

Section: Introductionmentioning

confidence: 99%

Statistical Characterization of Novel 3D Cluster-Based MIMO Vehicle-to-Vehicle Models for Urban Street Scattering Environments

Chen

Fang

Sun

et al. 2018

International Journal of Antennas and Propagation

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We develop a novel three-dimensional (3D) cluster-based channel model for vehicle-to-vehicle (V2V) communications under the scenarios of urban street scattering environments. The proposed model combines the flexibility of geometrical channel models with the existing state-of-the-art 3D V2V models. To provide an accurate representation of specific locations and realistic V2V fading environments in a computationally manageable fashion, all clusters are divided into three groups of use cases including "ahead," "between," and "behind" clusters according to the relative locations of clusters. Using the proposed V2V model, we first derive the closed-form expressions of the channel impulse response (CIR), including the line-of-sight (LoS) components and cluster components. Subsequently, for three categories of clusters, the corresponding statistical properties of the reference model are studied. We additionally derive the expressions of the 3D space-time correlation function (STCF), the autocorrelation function (ACF), and 2D STCF. Finally, comparisons with on-road measurement data and numerical experiments demonstrate the validity and effectiveness of the proposed 3D cluster-based V2V model.

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Angle and time of arrival statistics for circular and elliptical scattering models

Cited by 265 publications

References 4 publications

A physical scattering model for MIMO macrocellular broadband wireless channels

A physical scattering model for MIMO macrocellular broadband wireless channels

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

Statistical Characterization of Novel 3D Cluster-Based MIMO Vehicle-to-Vehicle Models for Urban Street Scattering Environments

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