Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Performance Analysis of Outdoor THz Links under Mixture Gamma Fading with Misalignment

Hakim Jemaa, Simon Tarboush, Hadi Sarieddeen, Mohamed-Slim Alouini, Tareq Y. Al-Naffouri

TL;DR

This paper addresses reliable performance analysis for outdoor THz point‑to‑point links experiencing MG fading and pointing errors. It develops an analytical framework that models small‑scale fading with a mixture gamma distribution and misalignment with a zero‑boresight model, deriving closed‑form expressions for the bit‑error probability $P_e$, outage probability $P_{\text{out}}$, and ergodic capacity $C_{\text{erg}}$ in Fox‑$H$ and Meijer‑$G$ forms, plus high‑SNR asymptotics with convergence conditions. The analytical results are validated against measurement‑based THz channel parameters, with simulations showing exact agreement and quantifying the performance degradation due to misalignment (e.g., gaps between misaligned and aligned cases) and the limited impact of MG components on capacity. The findings provide accurate, reproducible link‑level performance predictions for outdoor THz systems and inform design under realistic propagation and misalignment conditions. The work advances understanding of MG fading in outdoor THz channels and offers practical tools for system designers.

Abstract

The precision of link-level theoretical performance analysis for emerging wireless communication paradigms is critical. Recent studies have demonstrated the excellent fitting capabilities of the mixture gamma (MG) distribution in representing small-scale fading in outdoor terahertz (THz)-band scenarios. Our study establishes an in-depth performance analysis for outdoor point-to-point THz links under realistic configurations, incorporating MG small-scale fading combined with the misalignment effect. We derive closed-form expressions for the bit-error probability, outage probability, and ergodic capacity. Furthermore, we conduct an asymptotic analysis of these metrics at high signal-to-noise ratios and derive the necessary convergence conditions. Simulation results, leveraging precise measurement-based channel parameters in various configurations, closely align with the derived analytical equations.

Performance Analysis of Outdoor THz Links under Mixture Gamma Fading with Misalignment

TL;DR

This paper addresses reliable performance analysis for outdoor THz point‑to‑point links experiencing MG fading and pointing errors. It develops an analytical framework that models small‑scale fading with a mixture gamma distribution and misalignment with a zero‑boresight model, deriving closed‑form expressions for the bit‑error probability , outage probability , and ergodic capacity in Fox‑ and Meijer‑ forms, plus high‑SNR asymptotics with convergence conditions. The analytical results are validated against measurement‑based THz channel parameters, with simulations showing exact agreement and quantifying the performance degradation due to misalignment (e.g., gaps between misaligned and aligned cases) and the limited impact of MG components on capacity. The findings provide accurate, reproducible link‑level performance predictions for outdoor THz systems and inform design under realistic propagation and misalignment conditions. The work advances understanding of MG fading in outdoor THz channels and offers practical tools for system designers.

Abstract

The precision of link-level theoretical performance analysis for emerging wireless communication paradigms is critical. Recent studies have demonstrated the excellent fitting capabilities of the mixture gamma (MG) distribution in representing small-scale fading in outdoor terahertz (THz)-band scenarios. Our study establishes an in-depth performance analysis for outdoor point-to-point THz links under realistic configurations, incorporating MG small-scale fading combined with the misalignment effect. We derive closed-form expressions for the bit-error probability, outage probability, and ergodic capacity. Furthermore, we conduct an asymptotic analysis of these metrics at high signal-to-noise ratios and derive the necessary convergence conditions. Simulation results, leveraging precise measurement-based channel parameters in various configurations, closely align with the derived analytical equations.
Paper Structure (11 sections, 8 theorems, 27 equations, 1 figure)

This paper contains 11 sections, 8 theorems, 27 equations, 1 figure.

Table of Contents

  1. Introduction
  2. System and Channel Models
  3. Performance analysis
  4. Probability of error
  5. Outage probability
  6. Ergodic capacity
  7. Asymptotic analysis
  8. Probability of error and outage probability
  9. Ergodic capacity
  10. Simulation Results and Discussion
  11. Conclusion

Key Result

Theorem 1

The PDFs of $|h|$ and $P_t |h|^2$ are where $C_i = \frac{\alpha_i}{P_t^{\frac{\beta_i}{2}} S_0^{\beta_i} |h_l|^{\beta_i}}$.

Figures (1)

  • Figure 1: Performance evaluation of outdoor THz link under BPSK modulation and MG small-scale fading.

Theorems & Definitions (10)

  • Theorem 1: Appendix \ref{['sec:appendix_pdf']}
  • Remark 1
  • Theorem 2: Appendix \ref{['sec:appendix_Pe']}
  • Proposition 1: Appendix \ref{['sec:appendix_Pe_no_mis']}
  • Remark 2
  • Theorem 3: Appendix \ref{['sec:appendix_outage']}
  • Proposition 2
  • Theorem 4: Appendix \ref{['sec:appendix_capacity']}
  • Proposition 3
  • Theorem 5: Appendix \ref{['sec:appendix_asymptotic_Pe_outage']}