Mathematical Modelling and Prediction of Interference Power in In-robot Subnetworks
Student thesis: Master Thesis and HD Thesis
- Lukas Menholt
- Lars Vedel Friis
4. semester, Mathematical Engineering, Master (Master Programme)
The envisioned wireless networks, 6G in-X subnetworks have extreme requirements for latency, data rate and reliability. The in-X subnetworks considered in this thesis, is the in-robot subnetworks in a factory setting. The interference power which comes from the in-robot subnetworks in a factory setting is analyzed and predicted throughout this thesis.
Analytical expressions for the mean and auto-correlation function (ACF) of the interference power are derived. The expressions for the mean and ACF contained high dimensional integrals which we estimate using Monte Carlo (MC) integration. When estimating the expression for the mean it was found that the analytical mean fitted the mean of the interference power obtained from simulations. It was found that when estimating the expression for the ACF using MC integration that it would overestimate the ACF of simulated interference power. However, the ACFs had the same form, thus, an appropriate scaling could make them coincide.
Furthermore, the interference power simulated from in-robot subnetworks was predicted using an autoregressive (AR) model of order 20. We also found that the interference power could be predicted using the AR(20) predictor for up to 8 [ms] when the velocity is 2 [m/s]. Additionally, the AR(20) predictor outperformed the last value predictor for all settings.
Analytical expressions for the mean and auto-correlation function (ACF) of the interference power are derived. The expressions for the mean and ACF contained high dimensional integrals which we estimate using Monte Carlo (MC) integration. When estimating the expression for the mean it was found that the analytical mean fitted the mean of the interference power obtained from simulations. It was found that when estimating the expression for the ACF using MC integration that it would overestimate the ACF of simulated interference power. However, the ACFs had the same form, thus, an appropriate scaling could make them coincide.
Furthermore, the interference power simulated from in-robot subnetworks was predicted using an autoregressive (AR) model of order 20. We also found that the interference power could be predicted using the AR(20) predictor for up to 8 [ms] when the velocity is 2 [m/s]. Additionally, the AR(20) predictor outperformed the last value predictor for all settings.
Language | English |
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Publication date | 2022 |
Number of pages | 92 |
Keywords | Interference prediction, 6G, In-X subnetworks, Subnetworks |
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