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A 3-D Propagation Model for Emerging Land Mobile Radio Cellular Environments.

Ahmed A, Nawaz SJ, Gulfam SM - PLoS ONE (2015)

Bottom Line: The impact of various physical model parameters on angular and temporal characteristics of the channel is presented, which reveals the comprehensive insight on the proposed results.The obtained analytical results for PDF of AoA observed at BS are seen to fit a vast range of empirical datasets in the literature taken for various outdoor propagation environments.In order to establish the validity of the obtained analytical results for spatial and temporal characteristics of the channel, a comparison of the proposed analytical results with the simulation results is shown, which illustrates a good fit for 10(7) scattering points.

View Article: PubMed Central - PubMed

Affiliation: Department of Electrical Engineering, COMSATS Institute of Information Technology, Islamabad, Pakistan.

ABSTRACT
A tunable stochastic geometry based Three-Dimensional (3-D) scattering model for emerging land mobile radio cellular systems is proposed. Uniformly distributed scattering objects are assumed around the Mobile Station (MS) bounded within an ellipsoidal shaped Scattering Region (SR) hollowed with an elliptically-cylindric scattering free region in immediate vicinity of MS. To ensure the degree of expected accuracy, the proposed model is designed to be tunable (as required) with nine degrees of freedom, unlike its counterparts in the existing literature. The outer and inner boundaries of SR are designed as independently scalable along all the axes and rotatable in horizontal plane around their origin centered at MS. The elevated Base Station (BS) is considered outside the SR at a certain adjustable distance and height w.r.t. position of MS. Closed-form analytical expressions for joint and marginal Probability Density Functions (PDFs) of Angle-of-Arrival (AoA) and Time-of-Arrival (ToA) are derived for both up- and down-links. The obtained analytical results for angular and temporal statistics of the channel are presented along with a thorough analysis. The impact of various physical model parameters on angular and temporal characteristics of the channel is presented, which reveals the comprehensive insight on the proposed results. To evaluate the robustness of the proposed analytical model, a comparison with experimental datasets and simulation results is also presented. The obtained analytical results for PDF of AoA observed at BS are seen to fit a vast range of empirical datasets in the literature taken for various outdoor propagation environments. In order to establish the validity of the obtained analytical results for spatial and temporal characteristics of the channel, a comparison of the proposed analytical results with the simulation results is shown, which illustrates a good fit for 10(7) scattering points. Moreover, the proposed model is shown to degenerate to various notable geometric models in the literature by an appropriate choice of a few parameters.

No MeSH data available.


Marginal PDF of ToA of Proposed Model, and S. J. Nawaz. et al [11].
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pone.0132555.g012: Marginal PDF of ToA of Proposed Model, and S. J. Nawaz. et al [11].

Mentions: The joint PDF of ToA and azimuth AoA observed from MS is plotted in Fig 10(a), 10(b), and 10(c) for ai and bi set as 60m, 30m, and 0m, respectively. The increase in magnitude of hollow region results in increase in value of τm,min (i.e., deviation from τo), which effectively changes the trend of distribution along the angles other than LoS direction. Joint PDF of ToA as seen from the MS is shown in Fig 11 and impact of inner hollow cylinder is studied. It is evident from the figure that by setting the close vicinity of the MS as scattering free region, (i.e., ai > 0m, and bi > 0m), the angular span of elevation AoA decreases; which further leads to a decrease in the delay spead. The marginal PDF of ToA seen from MS is shown in Fig 12. By a few appropriate substitutions for the parameters of the proposed model, the results deduce to those proposed in [11].


A 3-D Propagation Model for Emerging Land Mobile Radio Cellular Environments.

Ahmed A, Nawaz SJ, Gulfam SM - PLoS ONE (2015)

Marginal PDF of ToA of Proposed Model, and S. J. Nawaz. et al [11].
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4549116&req=5

pone.0132555.g012: Marginal PDF of ToA of Proposed Model, and S. J. Nawaz. et al [11].
Mentions: The joint PDF of ToA and azimuth AoA observed from MS is plotted in Fig 10(a), 10(b), and 10(c) for ai and bi set as 60m, 30m, and 0m, respectively. The increase in magnitude of hollow region results in increase in value of τm,min (i.e., deviation from τo), which effectively changes the trend of distribution along the angles other than LoS direction. Joint PDF of ToA as seen from the MS is shown in Fig 11 and impact of inner hollow cylinder is studied. It is evident from the figure that by setting the close vicinity of the MS as scattering free region, (i.e., ai > 0m, and bi > 0m), the angular span of elevation AoA decreases; which further leads to a decrease in the delay spead. The marginal PDF of ToA seen from MS is shown in Fig 12. By a few appropriate substitutions for the parameters of the proposed model, the results deduce to those proposed in [11].

Bottom Line: The impact of various physical model parameters on angular and temporal characteristics of the channel is presented, which reveals the comprehensive insight on the proposed results.The obtained analytical results for PDF of AoA observed at BS are seen to fit a vast range of empirical datasets in the literature taken for various outdoor propagation environments.In order to establish the validity of the obtained analytical results for spatial and temporal characteristics of the channel, a comparison of the proposed analytical results with the simulation results is shown, which illustrates a good fit for 10(7) scattering points.

View Article: PubMed Central - PubMed

Affiliation: Department of Electrical Engineering, COMSATS Institute of Information Technology, Islamabad, Pakistan.

ABSTRACT
A tunable stochastic geometry based Three-Dimensional (3-D) scattering model for emerging land mobile radio cellular systems is proposed. Uniformly distributed scattering objects are assumed around the Mobile Station (MS) bounded within an ellipsoidal shaped Scattering Region (SR) hollowed with an elliptically-cylindric scattering free region in immediate vicinity of MS. To ensure the degree of expected accuracy, the proposed model is designed to be tunable (as required) with nine degrees of freedom, unlike its counterparts in the existing literature. The outer and inner boundaries of SR are designed as independently scalable along all the axes and rotatable in horizontal plane around their origin centered at MS. The elevated Base Station (BS) is considered outside the SR at a certain adjustable distance and height w.r.t. position of MS. Closed-form analytical expressions for joint and marginal Probability Density Functions (PDFs) of Angle-of-Arrival (AoA) and Time-of-Arrival (ToA) are derived for both up- and down-links. The obtained analytical results for angular and temporal statistics of the channel are presented along with a thorough analysis. The impact of various physical model parameters on angular and temporal characteristics of the channel is presented, which reveals the comprehensive insight on the proposed results. To evaluate the robustness of the proposed analytical model, a comparison with experimental datasets and simulation results is also presented. The obtained analytical results for PDF of AoA observed at BS are seen to fit a vast range of empirical datasets in the literature taken for various outdoor propagation environments. In order to establish the validity of the obtained analytical results for spatial and temporal characteristics of the channel, a comparison of the proposed analytical results with the simulation results is shown, which illustrates a good fit for 10(7) scattering points. Moreover, the proposed model is shown to degenerate to various notable geometric models in the literature by an appropriate choice of a few parameters.

No MeSH data available.