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Covert Multicast in UAV-Enabled Wireless Communication Systems With One-hop and Two-hop Strategies

Wenhao Zhang, Ji He, Yuanyu Zhang

Abstract

This paper delves into the time-efficient covert multicast in a wireless communication system facilitated by Unmanned Aerial Vehicle (UAV), in which the UAV aims to disseminate a common covert information to multiple ground users (GUs) while suffering from the risk of detection by a ground warden (Willie). We propose one hop (OH) and two hop (TH) transmission schemes, first develop a theoretical framework for performance modeling of both the detection error probability at Willie and the transmission time at UAV. The optimization problems subject to the covertness constraint for the two transmission schemes are then formulated to gain insights into the system settings of the UAV's prior transmit probability, transmit power and horizontal location that affect the minimum transmission time. The optimization problems are non-convex and challenging to give numerical results. We thus explore the optimal setting of the transmit power and the prior transmit probability for the UAV separately under specific parameters with two schemes. We further propose a particle swarm optimization (PSO) based algorithm and an exhaustive algorithm to provide the joint solutions for the optimization problem with the OH transmission scheme and TH scheme, respectively. Finally, the efficiency of the proposed PSO-based algorithm is substantiated through extensive numerical results.

Covert Multicast in UAV-Enabled Wireless Communication Systems With One-hop and Two-hop Strategies

Abstract

This paper delves into the time-efficient covert multicast in a wireless communication system facilitated by Unmanned Aerial Vehicle (UAV), in which the UAV aims to disseminate a common covert information to multiple ground users (GUs) while suffering from the risk of detection by a ground warden (Willie). We propose one hop (OH) and two hop (TH) transmission schemes, first develop a theoretical framework for performance modeling of both the detection error probability at Willie and the transmission time at UAV. The optimization problems subject to the covertness constraint for the two transmission schemes are then formulated to gain insights into the system settings of the UAV's prior transmit probability, transmit power and horizontal location that affect the minimum transmission time. The optimization problems are non-convex and challenging to give numerical results. We thus explore the optimal setting of the transmit power and the prior transmit probability for the UAV separately under specific parameters with two schemes. We further propose a particle swarm optimization (PSO) based algorithm and an exhaustive algorithm to provide the joint solutions for the optimization problem with the OH transmission scheme and TH scheme, respectively. Finally, the efficiency of the proposed PSO-based algorithm is substantiated through extensive numerical results.

Paper Structure

This paper contains 30 sections, 2 theorems, 57 equations, 7 figures, 2 algorithms.

Table of Contents

  1. Introduction
  2. Preliminaries
  3. System Model
  4. Channel Model
  5. Air to Ground Channel Model
  6. Ground to Ground Channel Model
  7. Transmission Scheme
  8. OH Transmission Scheme
  9. TH Transmission Scheme
  10. Detection Model at Willie
  11. OH Transmission Scheme
  12. TH Transmission Scheme
  13. Minimum Covert Transmission Time Under the OH Transmission Scheme
  14. Detection Error Probability at Willie
  15. Transmission Time Minimization
  16. ...and 15 more sections

Key Result

Theorem 1

For the considered UAV multicast system, when the UAV transmits $M$ bits CI to the GUs positioned at the horizontal coordinate $\mathbf{q}_{a}$ and altitude $h$ over $n$ channel use in each time slot, along with the target rate $R$ and the covertness constraint $\epsilon$. The optimal transmit power and where $\rho_{max} = \frac{4\epsilon\sigma^{2}_{w}H_{a\hat{g}}}{4\epsilon\sigma^{2}_{w}H_{a\hat

Figures (7)

  • Figure 1: Illustration of the system model.
  • Figure 2: Illustration of the OH Transmission Scheme.
  • Figure 3: Illustration of the TH Transmission Scheme.
  • Figure 4: Illustration of the optimal location and relay under the settings of $\lambda=2*10^{-5}$, $r=500m$ and $\mathbf{q}_{w}=[600, 0]$.
  • Figure 5: Transmission time versus $\lambda$ under the setting of $\mathbf{q}_{w}=[600, 0]$.
  • ...and 2 more figures

Theorems & Definitions (4)

  • Theorem 1
  • proof
  • Theorem 2
  • proof