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Secrecy Outage Probability Analysis for Downlink RIS-NOMA Networks with On-Off Control

Yingjie Pei, Xinwei Yue, Wenqiang Yi, Yuanwei Liu, Xuehua Li, Zhiguo Ding

TL;DR

Numerical results are presented to verify theoretical analysis that: i) The SOP of RIS-NOMA networks is superior to that of RIS assisted orthogonal multiple access (OMA) and conventional cooperative communication schemes; ii) As the number of reflecting elements increases, the RIS- nomA networks are capable of achieving the enhanced secrecy performance.

Abstract

Reconfigurable intelligent surface (RIS) has been regarded as a promising technology since it has ability to create the favorable channel conditions. This paper investigates the secure communications of RIS assisted non-orthogonal multiple access (NOMA) networks, where both external and internal eavesdropping scenarios are taken into consideration. More specifically, novel approximate and asymptotic expressions of secrecy outage probability (SOP) for the k-th legitimate user (LU) are derived by invoking imperfect successive interference cancellation (ipSIC) and perfect successive interference cancellation (pSIC). To characterize the secrecy performance of RIS-NOMA networks, the diversity order of the k-th LU with ipSIC/pSIC is obtained in the high signal-to-noise ratio region. The secrecy system throughput of RIS-NOMA networks is discussed in delay-limited transmission mode. Numerical results are presented to verify theoretical analysis that: i) The SOP of RIS-NOMA networks is superior to that of RIS assisted orthogonal multiple access (OMA) and conventional cooperative communication schemes; ii) As the number of reflecting elements increases, the RIS-NOMA networks are capable of achieving the enhanced secrecy performance; and iii) The RIS-NOMA networks have better secrecy system throughput than that of RIS-OMA networks and conventional cooperative communication schemes.

Secrecy Outage Probability Analysis for Downlink RIS-NOMA Networks with On-Off Control

TL;DR

Numerical results are presented to verify theoretical analysis that: i) The SOP of RIS-NOMA networks is superior to that of RIS assisted orthogonal multiple access (OMA) and conventional cooperative communication schemes; ii) As the number of reflecting elements increases, the RIS- nomA networks are capable of achieving the enhanced secrecy performance.

Abstract

Reconfigurable intelligent surface (RIS) has been regarded as a promising technology since it has ability to create the favorable channel conditions. This paper investigates the secure communications of RIS assisted non-orthogonal multiple access (NOMA) networks, where both external and internal eavesdropping scenarios are taken into consideration. More specifically, novel approximate and asymptotic expressions of secrecy outage probability (SOP) for the k-th legitimate user (LU) are derived by invoking imperfect successive interference cancellation (ipSIC) and perfect successive interference cancellation (pSIC). To characterize the secrecy performance of RIS-NOMA networks, the diversity order of the k-th LU with ipSIC/pSIC is obtained in the high signal-to-noise ratio region. The secrecy system throughput of RIS-NOMA networks is discussed in delay-limited transmission mode. Numerical results are presented to verify theoretical analysis that: i) The SOP of RIS-NOMA networks is superior to that of RIS assisted orthogonal multiple access (OMA) and conventional cooperative communication schemes; ii) As the number of reflecting elements increases, the RIS-NOMA networks are capable of achieving the enhanced secrecy performance; and iii) The RIS-NOMA networks have better secrecy system throughput than that of RIS-OMA networks and conventional cooperative communication schemes.
Paper Structure (23 sections, 8 theorems, 56 equations, 10 figures, 1 table)

This paper contains 23 sections, 8 theorems, 56 equations, 10 figures, 1 table.

Table of Contents

  1. Introduction
  2. Motivations and Contributions
  3. Organization and Notation
  4. System Model
  5. System Descriptions
  6. Signal Model
  7. External Eavesdropping Scenario
  8. Internal Eavesdropping Scenario
  9. RIS-NOMA with On-off Control
  10. Secrecy Performance Evaluation
  11. Statistical Models for Wiretap Channels
  12. External Eavesdropping Scenario
  13. Internal Eavesdropping Scenario
  14. Secrecy Outage Probability
  15. External Eavesdropping Scenario
  16. ...and 8 more sections

Key Result

Lemma 1

Under the condition of on-off control, the CDF of SINR for the k-th LU to decode the g-th LU's information (1 $\leqslant$ g $\leqslant$ k) with ipSIC can be given by where $\kappa = \frac{{K!}}{{\left( {K - k} \right)!\left( {k - 1} \right)!}}$, ${\zeta _1} = \frac{{\left( {\varpi \rho {N_{ipu}}{\tau _d} + 1} \right)}}{{\rho {N_{br}}{N_{rk}}}}$, ${G_d} = \frac{{{{\left( {D!} \right)}^2}}}{{{\tau

Figures (10)

  • Figure 1: System model of RIS assisted NOMA secure communication networks.
  • Figure 2: SOP versus transmit SNR under external eavesdropping scenario, with M = 16, P = 2, Q = 8, ${{\rho _e}}$ = 0 dB, $\mathbb{E}\{ {\left| {{h_{ipu}}} \right|^2}\} = \mathbb{E}\{ {\left| {{h_{ipe}}} \right|^2}\}$ = -20 dB, $R_1^{EE} = R_2^{EE} = R_3^{EE}$ = 0.04 and $R_{OMA}$ = 0.12 BPCU.
  • Figure 3: SOP versus transmitting SNR for all LUs with different target secrecy rates under external eavesdropping scenarios, where M = 12, P = 2, Q = 6, ${{\rho _e}}$ = 10 dB, $\mathbb{E}\{ {\left| {{h_{ipu}}} \right|^2}\} = \mathbb{E}\{ {\left| {{h_{ipe}}} \right|^2}\}$ = -10 dB.
  • Figure 4: SOP versus transmitting SNR with varying reflecting elements under external eavesdropping scenarios, where M = Q, P = 1, $\mathbb{E}\{ {\left| {{h_{ipu}}} \right|^2}\} = \mathbb{E}\{ {\left| {{h_{ipe}}} \right|^2}\}$ = -20 dB, ${{\rho _e}}$ = 10 dB and $R_1^{EE} = R_2^{EE} = R_3^{EE}$ = 0.04 BPCU.
  • Figure 5: SOP versus transmitting SNR with various ${d_{br}}$ and ${d_{rk}}$ under external eavesdropping scenarios, where $\mathbb{E}\{ {\left| {{h_{ipu}}} \right|^2}\} = \mathbb{E}\{ {\left| {{h_{ipe}}} \right|^2}\}$ = -20 dB, ${{\rho _e}}$ = 10 dB, $R_1^{EE} = R_2^{EE} = R_3^{EE}$ = 0.04 BPCU, M = 12, P = 2 and Q = 6.
  • ...and 5 more figures

Theorems & Definitions (16)

  • Lemma 1
  • proof
  • Lemma 2
  • Lemma 3
  • proof
  • Lemma 4
  • Theorem 1
  • proof
  • Theorem 2
  • Corollary 1
  • ...and 6 more