This repository belongs to the paper "Outage Probability Calculation for Two-Ray Ground Reflection Scenarios with Frequency Diversity" (K.-L. Besser, E. Jorswieck, J. Coon. Asilomar Conference on Signals, Systems & Computers, Oct. 2023, pp. 237-242.) doi: 10.1109/IEEECONF59524.2023.10477068.

The code is made publicly accessible in order to allow everybody to reproduce the results presented in the paper.

The following files are provided in this repository:

• run.sh: Bash script that reproduces the figures presented in the paper.
• util.py: Python module that contains utility functions, e.g., for saving results.
• model.py: Python module that contains utility functions around the two-ray ground reflection model.
• single_frequency.py: Python module that contains the functions to calculate the receive power when a single frequency is used.
• two_frequencies.py: Python module that contains the functions to calculate the receive power when two frequencies are used in parallel.
• outage_probability.py: Python module that contains the functions to estimate the outage probabilities.
• eps_outage_dw.py: Python module that contains the functions to calculate the eps-outage power for varying frequency spacings.
• monotonic_intervals.py: Python module that contains functions to illustrate the monotonic intervals of the receive power.

The easiest way is to use services like Binder to run the notebook online. Simply navigate to https://mybinder.org/v2/gh/klb2/two-ray-outage-calculation/HEAD to run the notebooks in your browser without setting everything up locally.

If you want to run it locally on your machine, Python3 and Jupyter are needed. The present code was developed and tested with the following versions:

• Python 3.11
• numpy 1.26
• scipy 1.10
• pandas 2.0

Make sure you have Python3 installed on your computer. You can then install the required packages (including Jupyter) by running

pip3 install -r requirements.txt

This will install all the needed packages which are listed in the requirements file.

You can then recreate the figures from the paper by running

bash run.sh

This research was supported by the Federal Ministry of Education and Research Germany (BMBF) as part of the 6G Research and Innovation Cluster 6G-RIC under Grant 16KISK031, by the German Research Foundation (DFG) under grant BE 8098/1-1, and by the EPSRC under grant number EP/T02612X/1.

This program is licensed under the GPLv3 license. If you in any way use this code for research that results in publications, please cite our original article listed above.

You can use the following BibTeX entry

@inproceedings{Besser2023asilomar,
  author = {Besser, Karl-Ludwig and Jorswieck, Eduard A. and Coon, Justin P.},
  title = {Outage Probability Calculation for Two-Ray Ground Reflection Scenarios with Frequency Diversity},
  booktitle = {2023 57th Asilomar Conference on Signals, Systems, and Computers},
  year = {2023},
  month = {10},
  pages = {237--242},
  publisher = {IEEE},
  venue = {Pacific Grove, CA, USA},
  doi = {10.1109/IEEECONF59524.2023.10477068},
}