Application of Polynomial Chaos to Quantify Uncertainty in Deterministic Channel Models

Austin, Andrew C. M.; Sood, Neeraj; Siu, Joseph; Sarris, Costas D.

doi:10.1109/tap.2013.2279094

Cited by 48 publications

(36 citation statements)

References 22 publications

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“…Some later contributions described more advanced applications of the considered approach. For example, the purpose of [24] is to assess the uncertainty in wireless indoor channel models due to the randomness in the electric parameters of the wall materials of an office building or the geometric dimensions of the walls themselves. The necessary integrals for the calculation of the inner products were computed using sparse Smolyak grids [25] and Gauss-Legendre integration rules to improve efficiency.…”

Section: Intrusive Pc-fdtd Methodsmentioning

confidence: 99%

A Short Review of FDTD‐Based Methods for Uncertainty Quantification in Computational Electromagnetics

Zygiridis

2017

Mathematical Problems in Engineering

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We provide a review of selected computational methodologies that are based on the deterministic finite-difference time-domain algorithm and are suitable for the investigation of electromagnetic problems involving uncertainties. As it will become apparent, several alternatives capable of performing uncertainty quantification in a variety of cases exist, each one exhibiting different qualities and ranges of applicability, which we intend to point out here. Given the numerous available approaches, the purpose of this paper is to clarify the main strengths and weaknesses of the described methodologies and help the potential readers to safely select the most suitable approach for their problem under consideration.

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Section: Intrusive Pc-fdtd Methodsmentioning

confidence: 99%

A Short Review of FDTD‐Based Methods for Uncertainty Quantification in Computational Electromagnetics

Zygiridis

2017

Mathematical Problems in Engineering

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“…To this objective, geometrical variations in microwave circuits have been, also, analyzed in [11], where a scheme that merges the FDTD with the polynomial chaos expansion (PCE) algorithm has been developed in an attempt to offer a faster tool than the MC-FDTD implementations.…”

Section: Introductionmentioning

confidence: 99%

Statistical analysis of microwave components through a 3-D stochastic-FDTD technique

Papadimopoulos

Alreem

Zygiridis

et al. 2016

2016 5th International Conference on Modern Circuits and Systems Technologies (MOCAST)

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The consistent modeling of microwave components with random fluctuations regarding their electromagnetic material parameters is performed in this paper via a 3-D stochastic finite-difference time-domain method. The featured formulation provides precise numerical results with a considerably smaller computational cost compared to the extensively resourceconsuming Monte Carlo approach. Numerical simulations of microstrip transmission lines with media uncertainties are conducted in order to verify the accuracy of the proposed technique along with its effectiveness to investigate the operation of complicated microwave structures in a stochastic environment.

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“…Generally, these channel models can be classified into three types: statistical channel model, deterministic channel model and semi-deterministic channel model. Deterministic channel model [1] is the model based on the actual measurement of the channel circumstance, and the basic idea is that the radio propagation is treated as a deterministic process if we can get the details of the channel. The parameters of statistical channel model are randomly generated with their statistical characteristics, such as Lees Model [2] and Gaussian Statistical Model [3].…”

Section: Introductionmentioning

confidence: 99%

Research on High-Speed Railway model for train-ground MIMO channel

Xiao

Muqing

Rong

et al. 2014

2014 International Symposium on Wireless Personal Multimedia Communications (WPMC)

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This paper focuses on the modeling of High-Speed Railway (HSR) multiple-input multiple-output (MIMO) systems. By using the geometry-based statistical method and ray tracing technique, a train-ground channel model based on the measurement of actual channel is proposed. Then the timedomain attenuation, channel capacity, Doppler power spectrum are simulated and analyzed to verify the validity of our model. In addition, as the velocity of the HSR leads to critical time-selective fading, so the speed on the influence of these parameters are also analyzed in this paper. All these results significantly promote the evaluation, simulation and design of the wireless communication system based on long term evolution (LTE) application to the future high speed railway.

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Application of Polynomial Chaos to Quantify Uncertainty in Deterministic Channel Models

Cited by 48 publications

References 22 publications

A Short Review of FDTD‐Based Methods for Uncertainty Quantification in Computational Electromagnetics

A Short Review of FDTD‐Based Methods for Uncertainty Quantification in Computational Electromagnetics

Statistical analysis of microwave components through a 3-D stochastic-FDTD technique

Research on High-Speed Railway model for train-ground MIMO channel

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