• The Transactions of the Korean Institute of Electrical Engineers C
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• v.54 no.1
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• pp.41-44
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• 2005

A new method to reduce the computation time in power/ground-plane analysis is proposed. The existing method using the two dimensional infinite series summation take a lot of computation time. The proposed method is based on the approximation of impedance in the frequency domain through the Mobius transform. This method shows the good accuracy and the high speed in computing. In the case of impedance calculation for 9'x4' board, the proposed method takes 0.16 second of computing time whereas the existing method takes 2.2 second. This method can be applied to the analysis and design of power/ground-plane that need a lot of computation steps.

• Bulletin of the Korean Mathematical Society
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• v.41 no.2
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• pp.307-317
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• 2004

In the setting of the half-plane of the complex plane, we show that for $r\geq0$, the dual space of the weighted bergman spaces B$^{1}{\gamma}$ is the Bloch space of the half-plane and we study some bounded linear operators induced by radial derivatives.

• Bulletin of the Korean Mathematical Society
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• v.42 no.2
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• pp.387-396
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• 2005

In the setting of the half-plane of the complex plane, we introduce a modified reproducing kernel and we show that for $r>-1/2,\;B^{1,r}-cancellation$ property holds and the Bloch space is the dual space of $B^{1,r}$.

• Journal of the Korean Institute of Electrical and Electronic Material Engineers
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• v.18 no.5
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• pp.457-463
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• 2005

This paper presents a method for analyzing irregular shaped power distribution networks. The irregular shaped metal-dielectric-metal plane is split into several piece of rectangular segments to calculate the impedance of the irregular shaped plane. Impedance matrix for each rectangular segments is calculated using the Mobius transform method to reduce the calculation time. Then the segmentation and do-segmentation method is applied to the piece of rectangular segments. Applied to the 6 inch by 5 inch size irregular shaped board, the proposed method shows 10 times faster than the electromagnetic or circuit analysis method.