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Connection Performance Modeling and Analysis of a Radiosonde Network in a Typhoon

Hanyi Liu, Xianbin Cao, Peng Yang, Zehui Xiong, Tony Q. S. Quek, Dapeng Oliver Wu

Abstract

This paper is concerned with the theoretical modeling and analysis of uplink connection performance of a radiosonde network deployed in a typhoon. Similar to existing works, the stochastic geometry theory is leveraged to derive the expression of the uplink connection probability (CP) of a radiosonde. Nevertheless, existing works assume that network nodes are spherically or uniformly distributed. Different from the existing works, this paper investigates two particular motion patterns of radiosondes in a typhoon, which significantly challenges the theoretical analysis. According to their particular motion patterns, this paper first separately models the distributions of horizontal and vertical distances from a radiosonde to its receiver. Secondly, this paper derives the closed-form expressions of cumulative distribution function (CDF) and probability density function (PDF) of a radiosonde's three-dimensional (3D) propagation distance to its receiver. Thirdly, this paper derives the analytical expression of the uplink CP for any radiosonde in the network. Finally, extensive numerical simulations are conducted to validate the theoretical analysis, and the influence of various network design parameters are comprehensively discussed. Simulation results show that when the signal-to-interference-noise ratio (SINR) threshold is below -35 dB, and the density of radiosondes remains under 0.01/km^3, the uplink CP approaches 26%, 39%, and 50% in three patterns.

Connection Performance Modeling and Analysis of a Radiosonde Network in a Typhoon

Abstract

This paper is concerned with the theoretical modeling and analysis of uplink connection performance of a radiosonde network deployed in a typhoon. Similar to existing works, the stochastic geometry theory is leveraged to derive the expression of the uplink connection probability (CP) of a radiosonde. Nevertheless, existing works assume that network nodes are spherically or uniformly distributed. Different from the existing works, this paper investigates two particular motion patterns of radiosondes in a typhoon, which significantly challenges the theoretical analysis. According to their particular motion patterns, this paper first separately models the distributions of horizontal and vertical distances from a radiosonde to its receiver. Secondly, this paper derives the closed-form expressions of cumulative distribution function (CDF) and probability density function (PDF) of a radiosonde's three-dimensional (3D) propagation distance to its receiver. Thirdly, this paper derives the analytical expression of the uplink CP for any radiosonde in the network. Finally, extensive numerical simulations are conducted to validate the theoretical analysis, and the influence of various network design parameters are comprehensively discussed. Simulation results show that when the signal-to-interference-noise ratio (SINR) threshold is below -35 dB, and the density of radiosondes remains under 0.01/km^3, the uplink CP approaches 26%, 39%, and 50% in three patterns.

Paper Structure

This paper contains 29 sections, 5 theorems, 45 equations, 21 figures, 3 tables.

Table of Contents

  1. Introduction
  2. Related Work
  3. Motivations and Challenges
  4. Contributions
  5. System, Power, and Distribution Models
  6. System Model
  7. Receiving Power Modeling
  8. 3D Spatial Distribution of Radiosondes
  9. Horizontal Model
  10. Vertical Model
  11. 3D Spatial Distribution Modeling
  12. Case 1
  13. Case 2
  14. Case 3
  15. Connection probability analysis
  16. ...and 14 more sections

Key Result

Lemma 1

The closed-form expression of the CDF of $L_i$ is expressed as where $C_1 = \frac{1}{[1 - e^{-\pi\lambda_n{(R^{max}_{RX})}^2}][e^{-\frac{H_{RX}^{min}}{2}}-e^{-\frac{H_{RX}^{max}}{2}}]}$.

Figures (21)

  • Figure 1: A scenario of collecting meteorological information from a number of radiosondes.
  • Figure 2: Distances from TR and IR to RR, and trajectories of radiosondes.
  • Figure 3: Typhoon structure and various types of distances in the sectional view.
  • Figure 6: Wind and radiosonde motion directions in Case 1.
  • Figure 7: Wind and radiosonde motion directions in Case 2.
  • ...and 16 more figures

Theorems & Definitions (10)

  • Lemma 1
  • proof
  • Lemma 2
  • proof
  • Theorem 1
  • proof
  • Lemma 3
  • proof
  • Lemma 4
  • proof