Analytically derived TOA-DOA statistics of uplink/downlink wireless multipaths arisen from scatterers on a hollow-disc around the mobile

Olenko, Andriy; Wong, Kainam Thomas; Ng, Eric

doi:10.1109/lawp.2004.824174

Cited by 52 publications

(55 citation statements)

References 6 publications

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“…One-dimensional azimuth-AOA marginal distributions (without considering TOA or elevation), likewise analytically derived using thorough mathematics based on various geometric models of the scatterers' 2-D spatial locations, have scatterers modeled as: 1) uniformly distributed only on a uniform circular disc around the mobile in [7], [8], [10], [11], [20]; 2) uniformly distributed only on a uniform hollow-disc around the mobile in [24]; 3) uniformly distributed only on a uniform elliptical disc with foci at the mobile and the base station in [5], [10], [14], [18]; 4) circularly Gaussian distributed centered at the mobile in [16]; and 5) distributed according to an inverted parabola at the mobile in [28].…”

Section: Literature Review On Geometric Modeling Formentioning

confidence: 99%

Analytically Derived Uplink/Downlink TOA and 2-D-DOA Distributions With Scatterers in a 3-D Hemispheroid Surrounding the Mobile

Olenko

Wong

Qasmi³

et al. 2006

IEEE Trans. Antennas Propagat.

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I. ANALYTICAL DERIVATION OF 3-D TOA/2-D-AOA DISTRIBUTIONSA signal, transmitted from a mobile user in a landmobile radiowave wireless cellular communication system, arrives at the cellular base station through multiple propagation multipaths. Each multipath carries its own propagation history of electromagnetic reflections and diffractions and corruption by multiplicative noise-a history reflected in that multipath's amplitude, Doppler, arrival angle, and arrival time delay at the receiving antenna(s). The values of these amplitudes, Doppler frequency shifts, arrival angles, and arrival time delays depend on the electromagnetic properties of and the spatial geometry among the mobile transmitter, the scatterers, and the receiving antennas. Each receiving antenna's data measurement sums these individually unobservable multipaths.The time of arrival (TOA) 1 distribution function characterizes the channel's temporal delay spread and frequency incoher- ence, which in turn determines the obtainable temporal diversity and the extent of intersymbol interference. The two-dimensional (2-D) azimuth-elevation angle of arrival (AOA) determines the angular spread and spatial decorrelation across the spatial aperture of an receiving antenna. The multipaths' nonzero elevation AOAs are most common in urban areas or over hilly terrains or with low-lying receiving antennas, where the propagating wave reflects off vertical structures like buildings or hills. The nonzero elevation AOA is critical for the use of a vertical or planar receiving antenna array, a fact recognized by the European Union's COST Action 259 [19]."Geometric modeling" idealizes the aforementioned wireless propagation environment via a geometric abstraction of the spatial relationships among the transmitter, the scatterers, and the base station. Geometric models thus attempt to embed measurable fading metrics integrally into the propagation channel's idealized geometry, such that the geometric parameters would affect these various fading metrics in an interconnected manner to reveal conceptually the channel's underlying fading dynamics. This work will maximally embed all derived statistics intrinsically within the propagation channel's geometry and to avoid a priori ad hoc statistical assumptions of the received signal's measurable statistics. See [27] for additional discussion on the nature of geometric modeling of wireless propagation.Geometric modeling contrasts with site-specific/terrain-specific/building-specific empirical measurements or ray-shooting/ ray-tracing computer simulations, which are applicable only to the one particular propagation setting under investigation but cannot be easily generalized to wider scenarios. One geometric model can apply for a wide class of propagation settings, producing the received signal's measurable fading metrics (e.g., the uplink and downlink probability density functions of the multipaths' arrival delay and 2-D arrival angle as in this paper) applicable generally within that class of channels.Geometric modeling contras...

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Section: Literature Review On Geometric Modeling Formentioning

confidence: 99%

Analytically Derived Uplink/Downlink TOA and 2-D-DOA Distributions With Scatterers in a 3-D Hemispheroid Surrounding the Mobile

Olenko

Wong

Qasmi³

et al. 2006

IEEE Trans. Antennas Propagat.

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“…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 the most common approaches, a uniform scatterers' distribution within an idealized geometry is assumed, e.g. [3][4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

A Simple 3-D Geometric Channel Model for Macrocell Mobile Communications

Baltzis

Sahalos

2008

Wireless Pers Commun

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One of the fundamental research areas in wireless communications is the development of realistic models that can efficiently and accurately describe the wireless propagation channel. Most of the proposed models disregard the three dimensional character of the signal spread or use techniques with excessive computational complexity. In this paper, we develop a simple 3-D geometric scattering model for the uplink of a macrocell mobile environment that provides the statistics of Angle-of-Arrival (AoA) of the multipath components. The model extends the 2-D geometrical-based single bounce macrocell (GBSBM) model. Explicit closed-form expressions are derived for the statistics of the AoA of the multipaths in the azimuth and elevation planes. Analysis of the results exhibits the advantages of our proposal compared to 2-D and 3-D ones published in the literature. Comparisons with experimental data confirm its validity. Interesting conclusions for the effective evaluation of mobile communication systems have been derived. Moreover, an application of the model to mobile location estimation has been developed and evaluated.

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Analytically derived TOA-DOA statistics of uplink/downlink wireless multipaths arisen from scatterers on a hollow-disc around the mobile

Cited by 52 publications

References 6 publications

Analytically Derived Uplink/Downlink TOA and 2-D-DOA Distributions With Scatterers in a 3-D Hemispheroid Surrounding the Mobile

Analytically Derived Uplink/Downlink TOA and 2-D-DOA Distributions With Scatterers in a 3-D Hemispheroid Surrounding the Mobile

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

A Simple 3-D Geometric Channel Model for Macrocell Mobile Communications

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