Application of the Wavelet Transform for the Fast Computation of a Linear Array of Printed Antennas

Loison, Renaud; Gillard, Raphaël; Citerne, J.; Piton, G.

doi:10.1109/euma.1998.338168

Cited by 4 publications

(3 citation statements)

References 5 publications

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“… (17) In our case, the medium is the vacuum. The total impedance seen by each mode at the interface is given by: TM n m f TE n m f TE n m Z n m TE n m f n m f n m Z n m n m f , , , , , , , , , , , ,        (19) At this stage, we can project the unknown (current) on the basis of trial functions, so we will express it with series of scaling and wavelets functions (test functions) and then write [13]: where (−) is the coarsest level and (+) the finest level. We use the Galerkin method to solve the Eq.20 numerically.…”

Section: Formulation Of the Mr-gecmentioning

confidence: 99%

“…In this context, several fast algorithms have been used to reduce the computational complexity and memory requirement, such as Finite Element Method (FEM), which formulate the electromagnetic problem using differential equation, And more power method such as the Fast Multi-pole Method or the Multilevel Fast Multi-pole Algorithm (MLFMA), which need more powerful machine to be implemented. In contrast, Wavelet-Based Moment method which can be implemented easily in personal computer [13,14]. the approach proposed in this paper uses Galerkin's procedure, leading to a sparse matrix, which elements are constituted of inner products of the local modal basis of the waveguide as basis functions, with periodic wavelets as trial functions obtained by integral calculation.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

An Improved MOM-GEC Method for Fast and Accurate Analysis of 2-D Planar Structures in Waveguides: Application to Planar Microstrip Antennas

Oueslati¹,

Aguili²

2016

IOSR

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This paper presents a new hybridization between MoM-GEC and a MultiResolution analysis (MR) which is based on the use of wavelets functions as trial functions. The proposed approach is developed to speed up convergence, alleviate calculation and then provide a considerable gain in requirements (processing time and memory storage) because it generates a sparse linear system. The approach consists in calculating the total current and input impedance on an invariant metallic pattern through two steps.The first one consists in expressing the boundary conditions of the unknown electromagnetic current with a single electrical circuit using the Generalized Equivalent Circuit method (GEC) and then deduce an electromagnetic equation based on the impedance operator [1,2]. The impedance operator used here is described using the local modal basis of the waveguide enclosing the studied structure. The second step consists in approximating the total current using orthonormal periodic wavelets as testing functions and the local modal basis of the waveguide as basis functions.The proposed approach allows fast calculation of such inner products through the use of the wavelets multiresolution (MR) analysis advantages, thus significantly reducing the required CPU-time for microstriptype structure analysis [3,4]. A sparse matrix is generated from the application of a threshold .A sparsely filled matrix is easier to store and invert [5,6]. Based on this approach, we study a 2-D planar structure including a step discontinuity. The obtained results show good accuracy with the method of moments. Moreover, we prove the considerable improvements in CPU time and memory storage achieved by the MR-GEC approach when studying these structures. An Improved MOM-GEC Method for Fast and Accurate Analysis of 2-D Planar Structures in….

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Section: Formulation Of the Mr-gecmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An Improved MOM-GEC Method for Fast and Accurate Analysis of 2-D Planar Structures in Waveguides: Application to Planar Microstrip Antennas

Oueslati¹,

Aguili²

2016

IOSR

View full text Add to dashboard Cite

show abstract

“…In contrast, Wavelet-Based Moment method can be implemented easily in personal computer [8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

An Improved Mom-Gec Method for Fast and Accurate Computation of Transmission Planar Structures in Waveguides: Application to Planar Microstrip Lines

Oueslati¹,

Aguili²

2016

PIER M

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Abstract-This paper presents a new hybridization between MoM-GEC and a MultiResolution analysis (MR) based on the use of wavelets functions as trial functions. The proposed approach is developed to speed up convergence, alleviate calculation and then provide a considerable gain in requirements (processing time and memory storage) because it generates a sparse linear system. The approach consists in calculating the total current and input impedance on an invariant metallic pattern through two steps. The first one consists in expressing the boundary conditions of the unknown electromagnetic current with a single electrical circuit using the Generalized Equivalent Circuit method (GEC) and then deduce an electromagnetic equation based on the impedance operator [6,7]. The impedance operator used here is described using the local modal basis of the waveguide enclosing the studied structure. The second step consists in approximating the total current using orthonormal periodic wavelets as testing functions and the local modal basis of the waveguide as basis functions. The proposed approach allows fast calculation of such inner products through the use of the wavelets multiresolution (MR) analysis advantages, thus significantly reducing the required CPU-time for microstrip-type structure analysis [13,14]. A sparse matrix is generated from the application of a threshold. A sparsely filled matrix is easier to store and invert [15,16]. Based on this approach, we study the planar structures. The obtained results show good accuracy with the method of moments. Moreover, we prove considerable improvements in CPU time and memory storage achieved by the MR-GEC approach when studying these structures.

show abstract

A multiresolution MoM analysis of multiport structures using matched terminations

Loison¹,

Gillard²,

Citerne³

et al. 2001

IEEE Trans. Microwave Theory Techn.

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Application of the Wavelet Transform for the Fast Computation of a Linear Array of Printed Antennas

Cited by 4 publications

References 5 publications

An Improved MOM-GEC Method for Fast and Accurate Analysis of 2-D Planar Structures in Waveguides: Application to Planar Microstrip Antennas

An Improved MOM-GEC Method for Fast and Accurate Analysis of 2-D Planar Structures in Waveguides: Application to Planar Microstrip Antennas

An Improved Mom-Gec Method for Fast and Accurate Computation of Transmission Planar Structures in Waveguides: Application to Planar Microstrip Lines

A multiresolution MoM analysis of multiport structures using matched terminations

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