On comparison of integral equation approaches for indoor wave propagation

Pham-Xuan, Vinh; Kavanagh, Ian; Condon, Marissa; Brennan, Conor

doi:10.1109/apwc.2014.6905587

Cited by 9 publications

(6 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…0 (k 0 |r − r|) is the zeroth order Hankel function of the second kind. [16] demonstrates the suitability of the two-dimensional VEFIE for the problem of indoor propagation modelling, which is extended to three dimensions in this work.…”

Section: Formulationsmentioning

confidence: 82%

“…These approximations require the MR-FDPF method to be calibrated with measurements before it can be used as an accurate propagation model, thus, calling into question the deterministic nature of the model. The volume electric field integral equation (VEFIE) has previously been investigated for indoor propagation modelling in [16][17][18] but has not been validated against measurements before for a realistic indoor environment. In this paper, the VEFIE is used as the basis for a full-wave three-dimensional indoor propagation model.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Full Wave Indoor Propagation Modelling Using the Volume Integral Equation

Kavanagh¹,

Brennan²

2019

PIER B

Self Cite

View full text Add to dashboard Cite

The transition towards next generation communications has increased the need for fast and accurate propagation models that can predict all aspects of the wireless channel. This paper develops a very accurate approach for indoor propagation modelling based on the volume electric field integral equation (VEFIE). The three-dimensional form of the VEFIE is used to predict frequency domain characteristics. Whilst, a 2D to 3D model is developed based on the 2D VEFIE to perform accurate and efficient time domain predictions. The 2D to 3D model applies correction terms to the solution of the 2D VEFIE to account for three-dimensional propagation. Both models are compared against frequency and time domain measurements as well as popular empirical models for both scenarios.

show abstract

Section: Formulationsmentioning

confidence: 82%

Section: Introductionmentioning

confidence: 99%

Full Wave Indoor Propagation Modelling Using the Volume Integral Equation

Kavanagh¹,

Brennan²

2019

PIER B

Self Cite

View full text Add to dashboard Cite

show abstract

“…The VEFIE is well suited to the problem of modelling indoor propagation [30,31]. It is derived from Maxwell's equations upon applying the volumetric equivalence principle.…”

Section: Volume Integral Equationmentioning

confidence: 99%

“…In contrast to the VEFIE which posits unknowns throughout the entire volume the SEFIE is defined in terms of unknowns which reside solely on surface boundaries, leading to fewer unknowns overall. While one would think that using fewer unknowns would lead to a more computationally efficient method the results of [31], in which the SEFIE is compared against the VEFIE for a typical indoor propagation problem, suggests the opposite. In [31] the computation of the SEFIE is accelerated with the multi-level fast far-field approximation and the VEFIE is accelerated by use of the FFT.…”

Section: Volume Integral Equationmentioning

confidence: 99%

“…While one would think that using fewer unknowns would lead to a more computationally efficient method the results of [31], in which the SEFIE is compared against the VEFIE for a typical indoor propagation problem, suggests the opposite. In [31] the computation of the SEFIE is accelerated with the multi-level fast far-field approximation and the VEFIE is accelerated by use of the FFT. The two models produce a good agreement with each other.…”

Section: Volume Integral Equationmentioning

confidence: 99%

See 1 more Smart Citation

Validation of a volume integral equation method for indoor propagation modelling

Kavanagh

Brennan

2019

IET Microwaves, Antennas & Propagation

Self Cite

View full text Add to dashboard Cite

A full‐wave indoor propagation model based on the two‐dimensional (2D) volume electric field integral equation (VEFIE) is presented. The model is discretised with the method of moments (MoM). The linear system arising from the MoM discretisation is solved with an iterative solver accelerated by using the fast Fourier transform and a reduced operator. The 2D VEFIE is validated against the analytical Mie series solution for scattering from a dielectric cylinder before being applied to a typical indoor propagation environment and compared against measurements. It is also compared against current popular empirical models and ray tracing. The ability of the frequency domain VEFIE method to produce time domain information is demonstrated with an investigation of numerical considerations that must be made.

show abstract

Modified Multilevel Fast Multipole Algorithm for Stationary Iterative Solvers

2015

Self Cite

View full text Add to dashboard Cite

A modified multilevel fast multipole algorithm (MLFMA) is proposed to accelerate the partial matrix vector products required in each iteration of the buffered block forward backward method (BBFB), which is a stationary iterative solver used to solve electromagnetic wave propagation and scattering problems. Applying the standard MLFMA to the computation of the partial matrix vector products results in significant redundancy, causing a loss of efficiency of the stationary method. The efficiency can be regained by implementing a modified MLFMA that is based on two simple algorithms. These involve determining precisely what a small subset of cubes is in need of having their associated fields recomputed in the MLFMA upward or downward process during each step of the BBFB process. Numerical experiments are presented to demonstrate the efficiency and the accuracy of the proposed method over the standard method. Although the modified MLFMA is only applied for the BBFB in this paper, it can, in principle, be extended for application to other stationary methods.INDEX TERMS Computational electromagnetics, method of moments (MoM), stationary iterative solver, acceleration techniques.

show abstract

On comparison of integral equation approaches for indoor wave propagation

Cited by 9 publications

References 6 publications

Full Wave Indoor Propagation Modelling Using the Volume Integral Equation

Full Wave Indoor Propagation Modelling Using the Volume Integral Equation

Validation of a volume integral equation method for indoor propagation modelling

Modified Multilevel Fast Multipole Algorithm for Stationary Iterative Solvers

Contact Info

Product

Resources

About