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This paper presents the characterization measurements and related uncertainty evaluation of a nonmagnetic material using the Vector Network Analyzer (VNA) at microwave frequencies. The permittivity of the material under test is computed…

Applied Physics · Physics 2021-02-12 Nosherwan Shoaib , Marco Sellone , Luciano Brunetti , Luca Oberto

An analytical method was developed, to estimate uncertainties in full two-port Vector Network Analyzer measurements, using total differentials of S-parameters. System error uncertainties were also estimated from total differentials…

General Physics · Physics 2013-11-07 Nikolitsa Yannopoulou , Petros Zimourtopoulos

Vector network analyzers (VNAs) have become one of the indispensable tools in various fields, such as medicine, material, geology, communication, and etc, due to the capacity of measuring and analyzing the response of the object under test.…

Signal Processing · Electrical Eng. & Systems 2020-02-18 Zhengtao Jin , Guiling Wu , Min Ding , Jianping Chen

This study presents a new method for measuring the propagation constant of transmission lines using a single line standard and without prior calibration of a two-port vector network analyzer (VNA). The method provides accurate results by…

Instrumentation and Detectors · Physics 2023-05-09 Ziad Hatab , Arezoo Abdi , Gregor Steinbauer , Michael Ernst Gadringer , Wolfgang Bösch

Bayesian Neural Networks (BNNs) provide a tool to estimate the uncertainty of a neural network by considering a distribution over weights and sampling different models for each input. In this paper, we propose a method for uncertainty…

Machine Learning · Computer Science 2024-10-28 Illia Oleksiienko , Dat Thanh Tran , Alexandros Iosifidis

We estimate the scattering matrix of an arbitrarily complex linear, passive, time-invariant system with $N$ monomodal lumped ports by inputting and outputting waves only via a fixed set of $N_\mathrm{A}<N$ ports while terminating the…

Applied Physics · Physics 2025-02-17 Philipp del Hougne

Since S-parameter measurements without uncertainty cannot claim any credibility, the uncertainties in full two-port Vector Network Analyser (VNA) measurements were estimated using total complex differentials (Total Differential Errors). To…

Classical Physics · Physics 2015-06-03 N. I. Yannopoulou , P. E. Zimourtopoulos

We recently introduced the "Virtual VNA" concept which estimates the $N \times N$ scattering matrix characterizing an arbitrarily complex linear reciprocal system with $N$ monomodal lumped ports by inputting and outputting waves only via…

Applied Physics · Physics 2025-10-07 Philipp del Hougne

This paper presents an indirect method for measuring the switch terms of a vector network analyzer (VNA) using at least three reciprocal devices, which do not need to be characterized beforehand. This method is particularly suitable for…

Instrumentation and Detectors · Physics 2023-09-07 Ziad Hatab , Michael Ernst Gadringer , Wolfgang Bösch

We present a photonic ultra-wideband frequency extension for a commercial Vector Network Analyzer (VNA) to perform free-space measurements in a frequency range from 70 GHz up to 520 GHz with a Hz level resolution. The concept is based on…

The objective was to study uncertainty in antenna input impedance resulting from full one-port Vector Network Analyzer (VNA) measurements. The VNA process equation in the reflection coefficient p of a load, its measurement m and three…

Classical Physics · Physics 2013-11-07 Nikolitsa Yannopoulou , Petros Zimourtopoulos

A deterministic evaluation procedure for multi-port direction finding antennas is proposed. It is based on a direction finding uncertainty parameter, which describes how well different directions of arrival and polarizations are…

Signal Processing · Electrical Eng. & Systems 2023-07-12 Lukas Grundmann , Dirk Manteuffel

This paper proposes a two-stage segmentation model, variable-input based uncertainty measures and an uncertainty-guided post-processing method for prostate segmentation on 3D magnetic resonance images (MRI). The two-stage model was based on…

Computer Vision and Pattern Recognition · Computer Science 2019-03-07 Huitong Pan , Yushan Feng , Quan Chen , Craig Meyer , Xue Feng

Convolutional neural network (CNN) has achieved unprecedented success in image super-resolution tasks in recent years. However, the network's performance depends on the distribution of the training sets and degrades on out-of-distribution…

Computer Vision and Pattern Recognition · Computer Science 2021-05-20 Aupendu Kar , Prabir Kumar Biswas

Uncertainty quantification for full-waveform inversion provides a probabilistic characterization of the ill-conditioning of the problem, comprising the sensitivity of the solution with respect to the starting model and data noise. This…

Geophysics · Physics 2020-04-20 Gabrio Rizzuti , Ali Siahkoohi , Philipp A. Witte , Felix J. Herrmann

In this article a novel approach for training deep neural networks using Bayesian techniques is presented. The Bayesian methodology allows for an easy evaluation of model uncertainty and additionally is robust to overfitting. These are…

Machine Learning · Computer Science 2019-04-03 Konstantin Posch , Jürgen Pilz

Bayesian analysis often concerns an evaluation of models with different dimensionality as is necessary in, for example, model selection or mixture models. To facilitate this evaluation, transdimensional Markov chain Monte Carlo (MCMC)…

Methodology · Statistics 2018-08-13 Daniel W. Heck , Antony M. Overstall , Quentin F. Gronau , Eric-Jan Wagenmakers

The Bayesian inversion method demonstrates significant potential for solving inverse problems, enabling both point estimation and uncertainty quantification (UQ). However, Bayesian maximum a posteriori (MAP) estimation may become unstable…

Numerical Analysis · Mathematics 2025-06-04 Ruibiao Song , Liying Zhang

Bayesian Neural Networks (BNN) have emerged as a crucial approach for interpreting ML predictions. By sampling from the posterior distribution, data scientists may estimate the uncertainty of an inference. Unfortunately many inference…

Machine Learning · Computer Science 2023-11-23 Thomas D. Ahle , Sahar Karimi , Peter Tak Peter Tang

We refine the recently introduced "Virtual VNA 3.0" technique to remove the need for coherent detection. The resulting "Virtual VNA 3.1" technique can unambiguously estimate the full scattering matrix of a non-reciprocal, linear, passive,…

Applied Physics · Physics 2025-04-17 Philipp del Hougne
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