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Enhancing AAV-Enabled Secure Communications via Synthetic Aperture Beamforming

Bin Qiu, Wenchi Cheng, Hongxiang He, Jiangzhou Wang

TL;DR

This paper considers a synthetic aperture secure beamforming approach for a virtual multiple-input multiple output (MIMO) broadcast channel in the presence of hybrid wiretapping environments and designs the received beamforming by applying the linearly constrained minimum variance (LCMV) method such that the jamming can be effectively suppressed.

Abstract

In this paper, we consider a synthetic aperture secure beamforming approach for a virtual multiple-input multiple output (MIMO) broadcast channel in the presence of hybrid wiretapping environments. Our goal is to design the flight node deployment constructed by a single-antenna mobile autonomous aerial vehicle (AAV), corresponding transmission symbol strategy, transmit precoding, and received beamforming to maximize the system channel capacity. Leveraging the synthetic aperture beamforming, we aim to provide spatial gain along a predefined angle in free space while reducing it in others and thus enhance physical layer (PHY) security. To this end, we analyze the expression of the asymptotic channel eigenvalues to optimize the AAV flight node deployment. For the optimal precoding design, an energy-efficient method that minimizes the transmit power consumption is studied based on the given virtual MIMO channel, while meeting the quality of service (QoS) for the base station (BS), leakage tolerance of eavesdroppers (Eves), and per-node power constraints. The power minimization problem is a non convex program, which is then reformulated as a tractable form after some mathematical manipulations. Moreover, we design the received beamforming by applying the linearly constrained minimum variance (LCMV) method such that the jamming can be effectively suppressed. Numerical results demonstrate the superiority of the proposed method in promoting capacity.

Enhancing AAV-Enabled Secure Communications via Synthetic Aperture Beamforming

TL;DR

This paper considers a synthetic aperture secure beamforming approach for a virtual multiple-input multiple output (MIMO) broadcast channel in the presence of hybrid wiretapping environments and designs the received beamforming by applying the linearly constrained minimum variance (LCMV) method such that the jamming can be effectively suppressed.

Abstract

In this paper, we consider a synthetic aperture secure beamforming approach for a virtual multiple-input multiple output (MIMO) broadcast channel in the presence of hybrid wiretapping environments. Our goal is to design the flight node deployment constructed by a single-antenna mobile autonomous aerial vehicle (AAV), corresponding transmission symbol strategy, transmit precoding, and received beamforming to maximize the system channel capacity. Leveraging the synthetic aperture beamforming, we aim to provide spatial gain along a predefined angle in free space while reducing it in others and thus enhance physical layer (PHY) security. To this end, we analyze the expression of the asymptotic channel eigenvalues to optimize the AAV flight node deployment. For the optimal precoding design, an energy-efficient method that minimizes the transmit power consumption is studied based on the given virtual MIMO channel, while meeting the quality of service (QoS) for the base station (BS), leakage tolerance of eavesdroppers (Eves), and per-node power constraints. The power minimization problem is a non convex program, which is then reformulated as a tractable form after some mathematical manipulations. Moreover, we design the received beamforming by applying the linearly constrained minimum variance (LCMV) method such that the jamming can be effectively suppressed. Numerical results demonstrate the superiority of the proposed method in promoting capacity.
Paper Structure (19 sections, 4 theorems, 85 equations, 8 figures)

This paper contains 19 sections, 4 theorems, 85 equations, 8 figures.

Table of Contents

  1. Introduction
  2. System Model and Problem Formulation
  3. Channel Model
  4. Symbol Transmission Strategy
  5. Received Signal Model
  6. Problem Statement
  7. Optimal Solution of The Problem
  8. Some Insights into the Problem
  9. Asymptotic Optimality of AAV Node Deployment
  10. Transmit Precoding Design
  11. Received Beamvector Design
  12. Some Extensions
  13. High-Dimensional Virtual MIMO Systems
  14. Robust Adaptive Beamforming Design
  15. Simulation Results
  16. ...and 4 more sections

Key Result

Theorem 1

When $\omega \to 0$, the $k$th largest eigenvalue of the channel gain matrix is asymptotically computed asMathematically, $\omega$ is small also corresponds to the case of $\phi \to 0$, where the channel model conforms to the asymptotic characterization. where ${r_{G,k}}$ and ${r_{A,k}}$ represent the $k$th diagonal elements of the upper triangular matrices ${\bf{R}}_G$ and ${\bf{R}}_A$ given in e

Figures (8)

  • Figure 1: AAV-enabled synthetic aperture secure transmission systems.
  • Figure 2: Illustration of the synthetic aperture transmission symbol strategy.
  • Figure 3: Model of high-dimensional virtual MIMO communications
  • Figure 4: Channel capacity versus average received SNR for different aperture sizes and rotation offsets.
  • Figure 5: Resultant beam responses in the azimuth angle dimension of the proposed method. (a) Transmit spatial gain. (b) Received beampattern.
  • ...and 3 more figures

Theorems & Definitions (8)

  • Remark 1
  • Remark 2
  • Remark 3
  • Theorem 1
  • Theorem 2
  • Corollary 1
  • Remark 4
  • Lemma 1: S-Procedure Convex