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Performance Analysis of LEO-Terrestrial Systems in Presence of Doppler Effect

Islam M. Tanash, Nuria Gonzalez-Prelcic, Risto Wichman

Abstract

In this paper, we present a novel stochastic geometry-based approach to analyze the effect of residual Doppler shift on orthogonal frequency-division multiple access (OFDMA) systems in low earth orbit (LEO) satellite-terrestrial networks. Focusing on multiuser systems employing common Doppler compensation, we analytically formulate the coverage probability by explicitly capturing the loss of OFDMA subcarrier orthogonality caused by geometry-induced residual Doppler through inter-carrier interference. The analysis accounts for the spatial distribution of ground terminals within the serving satellite's cell and is validated through extensive Monte-Carlo simulations for both S-band and Ka-band settings. The results demonstrate the high accuracy of both the Doppler shift approximation and the derived coverage probability expression, while also highlighting the significant impact of residual Doppler shift, even after compensation, emphasizing the necessity of considering this effect in the design of future satellite networks.

Performance Analysis of LEO-Terrestrial Systems in Presence of Doppler Effect

Abstract

In this paper, we present a novel stochastic geometry-based approach to analyze the effect of residual Doppler shift on orthogonal frequency-division multiple access (OFDMA) systems in low earth orbit (LEO) satellite-terrestrial networks. Focusing on multiuser systems employing common Doppler compensation, we analytically formulate the coverage probability by explicitly capturing the loss of OFDMA subcarrier orthogonality caused by geometry-induced residual Doppler through inter-carrier interference. The analysis accounts for the spatial distribution of ground terminals within the serving satellite's cell and is validated through extensive Monte-Carlo simulations for both S-band and Ka-band settings. The results demonstrate the high accuracy of both the Doppler shift approximation and the derived coverage probability expression, while also highlighting the significant impact of residual Doppler shift, even after compensation, emphasizing the necessity of considering this effect in the design of future satellite networks.
Paper Structure (7 sections, 9 equations, 2 figures, 1 table)

This paper contains 7 sections, 9 equations, 2 figures, 1 table.

Table of Contents

  1. Introduction
  2. System Model
  3. Doppler Characterization
  4. Channel and Signal Models
  5. PERFORMANCE ANALYSIS
  6. NUMERICAL RESULTS
  7. CONCLUSION

Figures (2)

  • Figure 1: Satellite-terrestrial communication system with randomly distributed ground terminals. The parameters shown in the figure and their descriptions are summarized in Table \ref{['table:notations']}.
  • Figure 2: Coverage probability under varying parameters, including frequency band, spacing, cell size, and satellite location. Eq. \ref{['eq:cov_prob']} with $\delta_t = 0$ indicates no Doppler compensation; Eq. \ref{['eq:cov_prob']} with $\delta_t \ne 0$ represents residual Doppler after canceling the common component; and Eq. \ref{['eq:ideal_cov']} corresponds to the ideal case with fully compensated Doppler.