Analyzing Physical-Layer Security of PLC Systems Using DCSK: A Copula-Based Approach
This study analyzes the physical layer security (PLS) performance of a differential chaos shift keying (DCSK) modulation-based Power Line Communication (PLC) system by exploiting the novel Farlie-Gumbel-Morgenstern (FGM) Copula approach. A power line Wyner’s wiretap channel model is inves...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IEEE
2023-01-01
|
| Series: | IEEE Open Journal of the Communications Society |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/10000407/ |
| _version_ | 1797955464964603904 |
|---|---|
| author | Vinay Mohan Aashish Mathur Georges Kaddoum |
| author_facet | Vinay Mohan Aashish Mathur Georges Kaddoum |
| author_sort | Vinay Mohan |
| collection | DOAJ |
| description | This study analyzes the physical layer security (PLS) performance of a differential chaos shift keying (DCSK) modulation-based Power Line Communication (PLC) system by exploiting the novel Farlie-Gumbel-Morgenstern (FGM) Copula approach. A power line Wyner’s wiretap channel model is investigated, where the main channel and the wiretap channel are assumed to be correlated and Log-normally distributed. The Gamma approximation to the Log-normal distribution is employed to simplify the computation. Concurrently, the PLC channel noise is modeled as a Bernoulli-Gaussian random process. Utilizing a Copula based approach to model the dependence among the correlated PLC channels, the PLS performance of the PLC system is evaluated in terms of the secure outage probability (SOP) and the strictly positive secrecy capacity (SPSC). It is revealed through the asymptotic SOP analysis that the secrecy diversity order depends on the shaping parameter <inline-formula> <tex-math notation="LaTeX">$(m_{\gamma _{M}})$ </tex-math></inline-formula> of the main channel. We also propose an algorithm to maximize the secrecy throughput under SOP constraints. Based on the insights from this analysis, it has been seen that the SOP performance degrades when the value of the dependence parameter <inline-formula> <tex-math notation="LaTeX">$(\theta)$ </tex-math></inline-formula> increases. Also, the secrecy throughput performance improves with a lower optimal threshold value of the signal-to-noise ratio (SNR), <inline-formula> <tex-math notation="LaTeX">$\gamma _{\textrm {th}}$ </tex-math></inline-formula>. Furthermore, some other insightful observations are presented by studying the impact of different parameters such as spreading factor <inline-formula> <tex-math notation="LaTeX">$(\beta)$ </tex-math></inline-formula>, impulsive noise occurrence probability <inline-formula> <tex-math notation="LaTeX">$(p)$ </tex-math></inline-formula>, transmitted power <inline-formula> <tex-math notation="LaTeX">$(P_{T})$ </tex-math></inline-formula>, and impulsive noise index <inline-formula> <tex-math notation="LaTeX">$(K)$ </tex-math></inline-formula>. |
| first_indexed | 2024-04-10T23:34:36Z |
| format | Article |
| id | doaj.art-0c2fde4dd77e4a4088fe94660bc474b1 |
| institution | Directory Open Access Journal |
| issn | 2644-125X |
| language | English |
| last_indexed | 2024-04-10T23:34:36Z |
| publishDate | 2023-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Open Journal of the Communications Society |
| spelling | doaj.art-0c2fde4dd77e4a4088fe94660bc474b12023-01-12T00:00:33ZengIEEEIEEE Open Journal of the Communications Society2644-125X2023-01-01410411710.1109/OJCOMS.2022.323275310000407Analyzing Physical-Layer Security of PLC Systems Using DCSK: A Copula-Based ApproachVinay Mohan0Aashish Mathur1https://orcid.org/0000-0003-1269-855XGeorges Kaddoum2https://orcid.org/0000-0002-5025-6624Department of Electrical Engineering, Indian Institute of Technology Jodhpur, Jodhpur, IndiaDepartment of Electrical Engineering, Indian Institute of Technology Jodhpur, Jodhpur, IndiaDepartment of Electrical Engineering, École de technologie supérieure, Montreal, CanadaThis study analyzes the physical layer security (PLS) performance of a differential chaos shift keying (DCSK) modulation-based Power Line Communication (PLC) system by exploiting the novel Farlie-Gumbel-Morgenstern (FGM) Copula approach. A power line Wyner’s wiretap channel model is investigated, where the main channel and the wiretap channel are assumed to be correlated and Log-normally distributed. The Gamma approximation to the Log-normal distribution is employed to simplify the computation. Concurrently, the PLC channel noise is modeled as a Bernoulli-Gaussian random process. Utilizing a Copula based approach to model the dependence among the correlated PLC channels, the PLS performance of the PLC system is evaluated in terms of the secure outage probability (SOP) and the strictly positive secrecy capacity (SPSC). It is revealed through the asymptotic SOP analysis that the secrecy diversity order depends on the shaping parameter <inline-formula> <tex-math notation="LaTeX">$(m_{\gamma _{M}})$ </tex-math></inline-formula> of the main channel. We also propose an algorithm to maximize the secrecy throughput under SOP constraints. Based on the insights from this analysis, it has been seen that the SOP performance degrades when the value of the dependence parameter <inline-formula> <tex-math notation="LaTeX">$(\theta)$ </tex-math></inline-formula> increases. Also, the secrecy throughput performance improves with a lower optimal threshold value of the signal-to-noise ratio (SNR), <inline-formula> <tex-math notation="LaTeX">$\gamma _{\textrm {th}}$ </tex-math></inline-formula>. Furthermore, some other insightful observations are presented by studying the impact of different parameters such as spreading factor <inline-formula> <tex-math notation="LaTeX">$(\beta)$ </tex-math></inline-formula>, impulsive noise occurrence probability <inline-formula> <tex-math notation="LaTeX">$(p)$ </tex-math></inline-formula>, transmitted power <inline-formula> <tex-math notation="LaTeX">$(P_{T})$ </tex-math></inline-formula>, and impulsive noise index <inline-formula> <tex-math notation="LaTeX">$(K)$ </tex-math></inline-formula>.https://ieeexplore.ieee.org/document/10000407/Power line communicationphysical layer securitysecure outage probabilitystrictly positive secrecy capacitylog-normal distributionBernoulli-Gaussian random process |
| spellingShingle | Vinay Mohan Aashish Mathur Georges Kaddoum Analyzing Physical-Layer Security of PLC Systems Using DCSK: A Copula-Based Approach IEEE Open Journal of the Communications Society Power line communication physical layer security secure outage probability strictly positive secrecy capacity log-normal distribution Bernoulli-Gaussian random process |
| title | Analyzing Physical-Layer Security of PLC Systems Using DCSK: A Copula-Based Approach |
| title_full | Analyzing Physical-Layer Security of PLC Systems Using DCSK: A Copula-Based Approach |
| title_fullStr | Analyzing Physical-Layer Security of PLC Systems Using DCSK: A Copula-Based Approach |
| title_full_unstemmed | Analyzing Physical-Layer Security of PLC Systems Using DCSK: A Copula-Based Approach |
| title_short | Analyzing Physical-Layer Security of PLC Systems Using DCSK: A Copula-Based Approach |
| title_sort | analyzing physical layer security of plc systems using dcsk a copula based approach |
| topic | Power line communication physical layer security secure outage probability strictly positive secrecy capacity log-normal distribution Bernoulli-Gaussian random process |
| url | https://ieeexplore.ieee.org/document/10000407/ |
| work_keys_str_mv | AT vinaymohan analyzingphysicallayersecurityofplcsystemsusingdcskacopulabasedapproach AT aashishmathur analyzingphysicallayersecurityofplcsystemsusingdcskacopulabasedapproach AT georgeskaddoum analyzingphysicallayersecurityofplcsystemsusingdcskacopulabasedapproach |