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Modeling the Random Orientation of Mobile Devices: Measurement, Analysis and LiFi Use Case (1805.07999v4)

Published 21 May 2018 in cs.IT and math.IT

Abstract: Light-fidelity (LiFi) is a networked optical wireless communication (OWC) solution for high-speed indoor connectivity for fixed and mobile optical communications. Unlike conventional radio frequency wireless systems, the OWC channel is not isotropic, meaning that the device orientation affects the channel gain significantly, particularly for mobile users. However, due to the lack of a proper model for device orientation, many studies have assumed that the receiver is vertically upward and fixed. In this paper, a novel model for device orientation based on experimental measurements of forty participants has been proposed. It is shown that the probability density function (PDF) of the polar angle can be modeled either based on a Laplace (for static users) or a Gaussian (for mobile users) distribution. In addition, a closed-form expression is obtained for the PDF of the cosine of the incidence angle based on which line-of-sight (LOS) channel gain is described in OWC channels. An approximation of this PDF based on the truncated Laplace is proposed and the accuracy of this approximation is confirmed by the Kolmogorov-Smirnov distance (KSD). Moreover, the statistics of the LOS channel gain are calculated and the random orientation of a user equipment (UE) is modeled as a random process. The influence of the random orientation on signal-to-noise-ratio (SNR) performance of OWC systems has been evaluated. Finally, an orientation-based random waypoint (ORWP) mobility model is proposed by considering the random orientation of the UE during the user's movement. The performance of ORWP is assessed on the handover rate and it is shown that it is important to take the random orientation into account.

Citations (167)

Summary

  • The paper presents a statistical model derived from experimental measurements of mobile device orientation, characterizing polar angle PDFs as Laplace or Gaussian based on user mobility.
  • Key findings include closed-form expressions for the cosine of the incidence angle PDF and demonstrate the significant impact of device orientation on LiFi signal-to-noise ratio performance.
  • The proposed orientation model impacts LiFi system design by improving handover rate predictions, suggesting an orientation-based random waypoint mobility model for better management.

Analysis of Mobile Device Orientation and Implications for LiFi Networks

This paper presents an insightful exploration into the modeling of random orientations in mobile devices, emphasizing its relevance for Optical Wireless Communication (OWC) systems, specifically Light-Fidelity (LiFi) networks. Unlike isotropic radio frequency channels, OWC channels manifest significant directional dependencies due to the orientation of mobile devices. The paper tackles the prevalent assumption in existing research that mobile device orientation is fixed and upward. By implementing a statistically robust model based on empirical measurements, it provides a more realistic representation of device orientations and their impact on OWC systems.

Methodological Insights

The paper centers on statistical modeling derived from experimental measurements involving forty participants to characterize device orientation accurately. It posits that the Probability Density Function (PDF) of the polar angle aligns with a Laplace distribution for static users and a Gaussian distribution for mobile users. This bifurcation is crucial as it adapts to behavioral differences displayed by users in varied mobility scenarios, enhancing the robustness of subsequent system performance analysis.

Key findings include closed-form expressions for the PDF of the cosine of the incidence angle, which reflects the line-of-sight (LOS) channel gain in OWC environments. An approximation using the truncated Laplace distribution ensures computational feasibility and consistency, verified through analytical validation using the Kolmogorov-Smirnov distance.

Implications for LiFi Systems

The implications of these orientation models impact several dimensions of LiFi system performance and design. Notably, the influence of device orientation on signal-to-noise-ratio (SNR) performance indicates a significant role-played in adaptive resource allocation and handover management strategies. The paper suggests an orientation-based random waypoint (ORWP) mobility model that helps predict handover rates more accurately by considering random device orientations during user movement.

Numerical Validation

Simulation results underline the validity of the proposed model, demonstrating a substantial impact on handover rates across room sizes and speeds, particularly evident in small network setups. Such findings are instrumental for advancing the efficiency of LiFi systems, where managing handover due to frequent orientation changes is critical.

Theoretical Contributions and Future Directions

The paper fundamentally enhances theoretical constructs around the OWC channel by integrating realistic elements of user behavior into system modeling. The trajectory laid out for future research suggests expanding the scope to broader indoor environments and leveraging these insights for further optimizing LiFi deployments. Future research may explore modeling scenarios involving mobile users with dynamic activities, encompassing more complex physical environments.

In conclusion, this paper provides comprehensive statistical analysis and models pivotal for the efficient design of LiFi networks. Its findings hold potential not only for theoretical advancement but also for practical enhancements regarding effectively managing user orientation dynamics in optical wireless communication systems. The blend of experimental rigor and analytical precision showcases a critical step forward in LiFi research, offering a robust foundation to bridge the gap between user behavior and system performance.