Efficient wavelet-based modelling of printed circuit antenna arrays

Sabet, K.F.; Cheng, Jui‐Ching; Katehi, L.P.B.

doi:10.1049/ip-map:19990558

Cited by 15 publications

(8 citation statements)

References 4 publications

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“…The subtracted part is integrated analytically. This can be done by Gaussian integral theorems transforming the surface integrals into line integrals [8], [9]. The integration over the second triangle in (5) is performed numerically.…”

Section: B Reaction Integralsmentioning

confidence: 99%

“…Let the coordinates of the rotated (coarse) grid at resolution level be . They are obtained from the coordinates at the next finer level via (9) Here, denotes the period of the coarse grid in the directions of the coordinates and . In this grid, the function in (8) splits into two functions with different types of support, since two adjacent triangles of the grid combine to either a square or a triangle.…”

Section: Grid Scalingmentioning

confidence: 99%

“…While MoM applications are already expanded to subdomain functions with triangular support [7], [8], direct wavelet transforms of the MPIE up to now have been restricted to rectangular subdomain functions [9]. Attempts have been made to extend the wavelet analysis to arbitrarily shaped structures [10].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Vector-valued wavelets with triangular support for method of moments applications

Bandlow

Schneider

Jacob

2005

IEEE Trans. Antennas Propagat.

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For a more flexible method of moments analysis of planar circuits, the theory of wavelet transforms is expanded to two-dimensional vector-valued functions with triangular support, the elementary cells being composed of right isosceles triangles. Efficient scaling and matrix sparsity are demonstrated with two suitable examples. Index Terms-Electromagnetic analysis, method of moments (MoM), wavelet transforms.

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Section: B Reaction Integralsmentioning

confidence: 99%

Section: Grid Scalingmentioning

confidence: 99%

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Vector-valued wavelets with triangular support for method of moments applications

Bandlow

Schneider

Jacob

2005

IEEE Trans. Antennas Propagat.

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“…Thus, due to the cancellation effect, a wavelet-dominated moment matrix tends to be highly sparse. For more insight into wavelet basis functions and matrix sparseness, the reader is referred to [17].…”

Section: Integral Formulation Of Scattering Problemmentioning

confidence: 99%

Numerical simulation of scattering from rough surfaces: a wavelet-based approach

Zahn

Sarabandi

Sabet

et al. 2000

IEEE Trans. Antennas Propagat.

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Abstract-In this paper, a preliminary study is carried out to demonstrate the application of wavelets for improving the computation time and reducing computational memory required for evaluating the statistics of the scattered field from rough surfaces using the method of moments (MoM) in conjunction with a Monte Carlo simulation. In specific, Haar and the first order B-spline wavelet basis functions are applied to the MoM formulation of one-dimensional rough surfaces in order to compare the computation time and sparsity for wavelets in the same family but of higher order. Since the scattering coefficient (the second moment of the backscatter field per unit area) is a gentle function of the surface parameters and the radar attributes, it is demonstrated that a relatively high thresholding level can be applied to the impedance matrix, which leads to a sparser impedance matrix and faster computation time. It is also shown that applying a high threshold level the coefficients of the high-order wavelets would increase out of proportion, however, the effect of these current components averages out when computing the scattering coefficients. The resulting sparse impedance matrices are solved efficiently using fast search routines such as the conjugate gradient method. A systematic study is carried out to investigate the effect of different threshold levels on the accuracy versus computing speed criterion. The computed scattering coefficients are compared to previous results computed using a conventional pulse basis function as well as the existing theoretical solutions for rough surfaces. It is shown that wavelet basis functions provide substantial reductions in both memory requirements and computation time.Index Terms-Electromagnetic scattering by rough surfaces, wavelet transforms.

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“…For instance, the fast-multipole method (FMM) [2] and the impedance matrix localization (IML) method [3] have been devel-oped to expedite matrix-vector multiplication when using an iterative solver. Wavelet transform [4] has also been used to yield sparse matrices that can be solved rapidly, though it is not as robust an approach as one might desire. More recently, a novel iterative scheme called MNM [5,6] was proposed for frequency sweeping and successfully applied to wide variety of problems.…”

Section: Introductionmentioning

confidence: 99%

Characteristic basis function method: A numerically efficient technique for analyzing microwave and RF circuits

Kwon

Mittra

2003

Micro & Optical Tech Letters

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Efficient wavelet-based modelling of printed circuit antenna arrays

Cited by 15 publications

References 4 publications

Vector-valued wavelets with triangular support for method of moments applications

Vector-valued wavelets with triangular support for method of moments applications

Numerical simulation of scattering from rough surfaces: a wavelet-based approach

Characteristic basis function method: A numerically efficient technique for analyzing microwave and RF circuits

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