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3D Trajectory Optimization in Rician Fading for UAV-Enabled Data Harvesting (1901.04106v5)

Published 14 Jan 2019 in cs.IT and math.IT

Abstract: In this paper, we consider a UAV-enabled WSN where a flying UAV is employed to collect data from multiple sensor nodes (SNs). Our objective is to maximize the minimum average data collection rate from all SNs subject to a prescribed reliability constraint for each SN by jointly optimizing the UAV communication scheduling and three-dimensional (3D) trajectory. Different from the existing works that assume the simplified line-of-sight (LoS) UAV-ground channels, we consider the more practically accurate angle-dependent Rician fading channels between the UAV and SNs with the Rician factors determined by the corresponding UAV-SN elevation angles. However, the formulated optimization problem is intractable due to the lack of a closed-form expression for a key parameter termed effective fading power that characterizes the achievable rate given the reliability requirement in terms of outage probability. To tackle this difficulty, we first approximate the parameter by a logistic ('S' shape) function with respect to the 3D UAV trajectory by using the data regression method. Then the original problem is reformulated to an approximate form, which, however, is still challenging to solve due to its non-convexity. As such, we further propose an efficient algorithm to derive its suboptimal solution by using the block coordinate descent technique, which iteratively optimizes the communication scheduling, the UAV's horizontal trajectory, and its vertical trajectory. The latter two subproblems are shown to be non-convex, while locally optimal solutions are obtained for them by using the successive convex approximation technique. Last, extensive numerical results are provided to evaluate the performance of the proposed algorithm and draw new insights on the 3D UAV trajectory under the Rician fading as compared to conventional LoS channel models.

Citations (273)

Summary

  • The paper proposes a framework that optimizes 3D UAV trajectories over Rician fading channels to maximize the minimum data collection rate while meeting reliability constraints.
  • It utilizes logistic regression to approximate effective fading power, enabling accurate modeling of angle-dependent fading and overcoming intractable channel expressions.
  • The study applies block coordinate descent and successive convex approximation to iteratively optimize UAV scheduling, horizontal and vertical trajectories, thereby enhancing IoT and remote sensing applications.

Overview of 3D Trajectory Optimization in Rician Fading for UAV-Enabled Data Harvesting

This paper introduces a sophisticated analysis and solution mechanism for optimizing the trajectory of Unmanned Aerial Vehicles (UAVs) in the context of a UAV-enabled wireless sensor network (WSN). Specifically, it addresses the data collection from distributed sensor nodes (SNs) over Rician fading channels—a model that accounts for both line-of-sight (LoS) and multipath fading components, making it a more practical and accurate representation of real-world conditions compared to the simplified LoS model.

In UAV-enabled WSNs, UAVs are deployed as flying data collectors that offer superior coverage and throughput, and reduce energy consumption for SNs. However, the performance gains from such setups are contingent on the efficient design of the UAVs' communication scheduling and three-dimensional (3D) trajectory— especially under the more complex Rician fading channel.

Numerical Contributions and Technical Innovations

The paper innovatively tackles the complexity of optimizing UAV trajectories in the context of angle-dependent Rician fading channels by articulating a detailed methodology. The authors propose a framework that maximizes the minimum average data collection rate amidst reliability constraints by leveraging both horizontal and vertical trajectory optimizations. Here, vertical trajectory optimization adds a critical degree of freedom compared to previous research that predominantly focused on fixed-altitude trajectories.

One notable feature of this work is the approximation of the effective fading power, which is pivotal in determining the achievable rate given outage probability constraints. This approximation employs logistic regression models (characterizing the 'S' shape relationship with UAV trajectory) that overcome the intractability of direct expressions for this parameter in Rician fading scenarios.

The paper deploys a block coordinate descent (BCD) algorithm where UAV scheduling, horizontal trajectory, and vertical trajectory are optimized iteratively. Subproblems, especially non-convex ones related to trajectory dimensions, are addressed using the successive convex approximation (SCA) technique, yielding locally optimal solutions that facilitate the attenuation and shadowing variabilities innate in Rician channels.

Practical and Theoretical Implications

Practically, this approach provides a significant potential improvement for IoT applications utilizing UAVs with complex channel considerations, such as disaster response and remote area surveillance, where maintaining robust communication links is critical. Theoretically, the introduction of angle-dependent channel modeling establishes new avenues for UAV communication research beyond conventionally assumed LoS paths, suggesting further developments in channel modeling and trajectory design.

The implications on channel modeling are particularly noteworthy; the integration of probabilistic elements and fading characteristics elucidates the real complexities UAVs face in diverse operational environments (e.g., urban areas with numerous obstacles). The approach can generalize to other types of UAV-based communications, perhaps even extending towards cellular networks and 5G applications where UAVs are considered as aerial base stations.

Concluding Remarks

In terms of future work, the paper opens up several potential research domains; one such avenue could involve joint optimization across multiple UAVs, considering inter-UAV coordination and collision avoidance. Additionally, the integration of machine learning-based adaptive trajectory planning, as the regression technique utilized indicates, may provide resilient enhancements to dynamic environments or evolving network topologies.

Overall, the paper presents a concrete foundational step towards realizing highly efficient UAV communication strategies within WSNs, advancing the current paradigm through thoughtful application of nonlinear optimization and channel modeling techniques. This research underpins the potential cross-disciplinary endeavors between optimization, control theory, and communication theory in the context of advanced UAV networking.