Optimization of Block Size for CBFM in MoM

Konno, Kouichi; Chen, Qiang; Sawaya, Kunio; Sezai, Toshihiro

doi:10.1109/tap.2012.2207330

Cited by 25 publications

(14 citation statements)

References 18 publications

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“…is more than or equals to N and M. Therefore, the order of the computational cost in the HO-CBFM is nearly independent of L when L is sufficiently small in comparison with N and M. As a result, it can be said that the minimum CPU time of the HO-CBFM is approximately O(N 7/3 ) when M = 0.9N 1/3 [4]. On the other hand, the computer memory cannot be saved using the HO-CBFM because the full impedance matrix must be obtained and stored in the computer memory; however, the computer memory of the HO-CBFM can be saved when the impedance matrix is stored on a hard disk.…”

Section: Matrix Filling Timementioning

confidence: 99%

“…In the CBFM, the original N × N matrix equation is reduced to a smaller M 2 × M 2 matrix equation, and the reduced matrix is solved by the Gauss-Jordan method, where N is the number of segments and M is the number of blocks, respectively. It has been shown that the minimum CPU time of the CBFM is O(N 7/3 ) when the number of blocks M ≈ 0.9N 1/3 [4]. In our research, the CBFM has been applied to the numerical analyses of small antennas in the vicinity of dielectric objects [5], [6].…”

Section: Introductionmentioning

confidence: 99%

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The Numerical Analysis of an Antenna near a Dielectric Object Using the Higher-Order Characteristic Basis Function Method Combined with a Volume Integral Equation

Konno

Chen

2014

IEICE Trans. Commun.

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The higher-order characteristic basis function method (HO-CBFM) is clearly formulated. HO-CBFM provides results accurately even if a block division is arbitrary. The HO-CBFM combined with a volume integral equation (VIE) is used in the analysis of various antennas in the vicinity of a dielectric object. The results of the numerical analysis show that the HO-CBFM can reduce the CPU time while still achieving the desired accuracy.

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Section: Matrix Filling Timementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The Numerical Analysis of an Antenna near a Dielectric Object Using the Higher-Order Characteristic Basis Function Method Combined with a Volume Integral Equation

Konno

Chen

2014

IEICE Trans. Commun.

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“…However, because the FMM and CBFM include many parameters to speed up the numerical analysis, it is still a challenging work to find a relation between these parameters and computation cost. Konno et al, have derived the computational cost of the FMM and CBFM analytically and demonstrated that the computational cost of the FMM depends on the shape and dimensions of analysis model while that of the CBFM does not [15], [16]. It was also found that the iterative algorithm is very effective in solving the impedance matrix equation, which is very time-consuming process in the MoM analysis of large-scale array antennas.…”

Section: Computational Electromagnetics For Large-scale Array Antennasmentioning

confidence: 99%

Recent Technologies in Japan on Array Antennas for Wireless Systems

Hirokawa

Chen

Fujimoto

et al. 2017

IEICE Trans. Commun.

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SUMMARY Array antenna technology for wireless systems is highly integrated for demands such as multi-functionality and high-performance. This paper details recent technologies in Japan in design techniques based on computational electromagnetics, antenna hardware techniques in the millimeter-wave band, array signal processing to add adaptive functions, and measurement methods to support design techniques, for array antennas for future wireless systems. Prospects of these four technologies are also described. key words: array antenna, multiple antenna, computational electromagnetics, millimeter-wave, antenna measurement, signal processing

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“…As illustrated in (6), the ratio between the primary CBFs is in turn identical to the ratio of the applied voltage excitation coefficients of the subdomains and , i.e., the -coefficients defined in (1). The DGFM therefore does not require the initial calculation of a set of primary CBFs, which is of and increases to when adding also secondary CBFs, as discussed in [19], at the cost of compromising the solution accuracy only slightly.…”

Section: B Comparing the Dgfm With Mbf Techniquesmentioning

confidence: 99%

Efficient Analysis of Large Aperiodic Antenna Arrays Using the Domain Green's Function Method

Ludick

Maaskant

Davidson

et al. 2014

IEEE Trans. Antennas Propagat.

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An efficient method-of-moments (MoM) based domain decomposition technique, viz., the domain Green's function method (DGFM), is presented for analyzing large antenna arrays. The DGFM is a perturbation technique where mutual coupling between array elements is accounted for during the formulation of an active impedance matrix for each domain/array element. The active current distribution on the entire array geometry is obtained by solving the smaller matrix equations related to the elements, and not that of the problem as a whole. This leads to a significant saving in both runtime and memory usage. The method also takes into account the edge effects attributed to the finite size of the array, complex excitations with nonlinear phase shift and is not limited to periodic array configurations. The DGFM is an approximation and assumes a slowly varying current distribution between domains. A novel way to mitigate the aforementioned, by including secondary coupling effects, is also discussed. Furthermore, an efficient active impedance matrix fill strategy is presented where the active impedance matrix summation is truncated to include only a certain number of terms. Parallelization using both distributed and shared memory programming models have also been applied to the DGFM, to further optimize runtime and memory usage. Index Terms-Domain decomposition, finite antenna arrays, method-of-moments (MoM), non-periodic arrays. I. INTRODUCTION A NALYZING large, finite, irregular-spaced antenna arrays is of interest to various research groups. One such an application for which nonuniform spaced array configurations is specifically well-suited, are for high-sensitivity imaging in the field of radio astronomy-an example being the aperture Manuscript

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Optimization of Block Size for CBFM in MoM

Cited by 25 publications

References 18 publications

The Numerical Analysis of an Antenna near a Dielectric Object Using the Higher-Order Characteristic Basis Function Method Combined with a Volume Integral Equation

The Numerical Analysis of an Antenna near a Dielectric Object Using the Higher-Order Characteristic Basis Function Method Combined with a Volume Integral Equation

Recent Technologies in Japan on Array Antennas for Wireless Systems

Efficient Analysis of Large Aperiodic Antenna Arrays Using the Domain Green's Function Method

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