• Title/Summary/Keyword: Circuit moments

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RC Tree Delay Estimation (RC tree의 지연시간 예측)

  • 유승주;최기영
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.32A no.12
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    • pp.209-219
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    • 1995
  • As a new algorithm for RC tree delay estimation, we propose a $\tau$-model of the driver and a moment propagation method. The $\tau$-model represents the driver as a Thevenin equivalent circuit which has a one-time-constant voltage source and a linear resistor. The new driver model estimates the input voltage waveform applied to the RC more accurately than the k-factor model or the 2-piece waveform model. Compared with Elmore method, which is a lst-order approximation, the moment propagation method, which uses $\pi$-model loads to calculate the moments of the voltage waveform on each node of RC trees, gives more accurate results by performing higher-order approximations with the same simple tree walking algorithm. In addition, for the instability problem which is common to all the approximation methods using the moment matching technique, we propose a heuristic method which guarantees a stable and accureate 2nd order approximation. The proposed driver model and the moment propagation method give an accureacy close to SPICE results and more than 1000 times speedup over circuit level simulations for RC trees and FPGA interconnects in which the interconnect delay is dominant.

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RMS Current Estimation Technique for Reliability Analysis of Multiple Semiconductor Interconnects (신뢰성 해석을 위한 반도체 다중연결선의 RMS 전류 추정 기법)

  • Kim, Ki-Young;Kim, Deok-Min;Kim, Seok-Yoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.8
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    • pp.1547-1554
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    • 2011
  • As process parameters scale, interconnect width are reduced rapidly while the current flowing through interconnects does not decrease in a proportional manner. This effect increases current density in metal interconnects which may result in poor reliability. Since RMS(root-mean-square) current limits are used to evaluate self-heating and short-time stress failures caused by high-current pluses, RMS current estimation is very important to guarantee the reliability of semiconductor systems. Hence, it is critical to estimate the current limits through interconnects earlier in semiconductor design stages. The purpose of this paper is to propose a fast, yet accurate RMS current estimation technique that can offer a relatively precise estimate by using closed-form equations. The efficiency and accuracy of the proposed method have been verified through simulations using HSPICE for a vast range of interconnect parameters.

Current Estimation Techniques for Reliability Analysis of Semiconductor Interconnects (반도체 회로 연결선의 신뢰도 해석을 위한 전류 해석 기법)

  • Kim, Ki-Young;Lim, Jae-Ho;Kim, Seok-Yoon;Kim, Deok-Min
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.8
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    • pp.1406-1415
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    • 2010
  • As process technology for semiconductor goes beyond the ultra-deep submicrometer regime, interconnect reliability on a chip has become a serious design concern. As process parameters scale, interconnect widths are reduced rapidly while the current flowing through the interconnect does not decrease in a proportional manner. This trend increases current densities in metal interconnects which may lead to poor reliability for electromigration. Hence, it is critical to estimate the current amount passing through the interconnects earlier in semiconductor design stages. The purpose of this paper is to propose a fast yet accurate current estimation technique that can offer not only analysis time equivalent to those offered by the previous approximation methods but also a relatively precise estimation by using closed-form equations. The accuracy of the proposed technique was confirmed to be about 8 times better on average when compared to the previous work.

Analysis of EMI Shielding Performance of Two Finite Image Planes Configuration (유한 이층 영상평면 구조에 의한 EMI 차폐성능 분석)

  • Kim, Jin-Suk;Yun, Jae-Hoon;Lee, Ae-Kyung;Kim, Nam
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.25 no.5A
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    • pp.682-687
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    • 2000
  • EMI problem is very important in a printed circuit board design. This paper deals with image plane as one of the most effective method to reduce EMI in PCB. The shielding performance of one and two layers of image planes of finite width and length is analyzed by the method of moments based on the triangular surface patch model. The current distributions were modeled as two simple line sources. It is demonstrated that proper triangulation should be made so as to take two basis functions in the boundary triangles of the surface.

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A Linear Prediction Based Estimation of Signal-to-Noise Ratio in AWGN Channel

  • Kamel, Nidal S.;Jeoti, Varun
    • ETRI Journal
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    • v.29 no.5
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    • pp.607-613
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    • 2007
  • Most signal-to-noise ratio (SNR) estimation techniques in digital communication channels derive the SNR estimates solely from samples of the received signal after the matched filter. They are based on symbol SNR and assume perfect synchronization and intersymbol interference (ISI)-free symbols. In severe channel distortion where ISI is significant, the performance of these estimators badly deteriorates. We propose an SNR estimator which can operate on data samples collected at the front-end of a receiver or at the input to the decision device. This will relax the restrictions over channel distortions and help extend the application of SNR estimators beyond system monitoring. The proposed estimator uses the characteristics of the second order moments of the additive white Gaussian noise digital communication channel and a linear predictor based on the modified-covariance algorithm in estimating the SNR value. The performance of the proposed technique is investigated and compared with other in-service SNR estimators in digital communication channels. The simulated performance is also compared to the Cram$\acute{e}$r-Rao bound as derived at the input of the decision circuit.

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A Study on the Characteristic of Modified Folded Dipole Antenna (변형된 Folded 다이폴 안테나의 특성 연구)

  • 심재륜
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2004.05b
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    • pp.472-474
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    • 2004
  • In this study, we investigated the characteristics of the input impedance and the gain of a ‘Folded dipole antenna with stub’ by the Method of Moments. The center frequency in this study is 200MHz, the radius of wire is 0.5nm, and the distance between two linear dipoles is 2cm. The inside variation of stub length within 18cm and the outside variation of stub length 4.5cm ive the value of SWR(Standing Wave Ratio) within 3. This means that the impedance matching between the ‘Folded dipole antenna with stub’ and receiver can easily be performed without a supplementary matching circuit.

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$H_\infty$ Control Apprach to a Magnetic Levitation System with Two Poles on $j_\omega$-Axis

  • Qi, Run-De;Tsuji, Teruo;Oguro, Ryuichi
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.339-344
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    • 1993
  • An H$_{\infty}$ control system design for a magnetic levitation system is presented. In the control system design, we consider the influence of both disturbances and uncertainties in the model. The main disturbances stem from the position sensors.The uncertainties are divided into electromagnetic and mechanical ones: the former are due to the gain change in the current amplifier, the influence of leakage flux and modelling error in the magnetic circuit and the latter are due to the changes of the mass and the moments of inertia of the vehicle. Therefore, the designed controller is indispensable to guarantee the robustness of this system for both stability and performance. The controller design is based on the standard H$_{\infty}$ optimal control problem. As the novel features in this paper :(1) there are two poles on j.omega.-axis in the control model;(2) an integrator is included in the controller so that equivalently there are three poles on j.omega.-axis in the model. Finally, several experiments and simulations are carried out to verify the high performance and robustness of the designed control system.m.

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EMI Reduction by PCB Image Planes (영상 평면을 이용한 PCB의 EMI 감쇠 분석)

  • 김진석;이애경;조광윤
    • The Proceeding of the Korean Institute of Electromagnetic Engineering and Science
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    • v.6 no.4
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    • pp.28-36
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    • 1995
  • The use of image planes can reduce effectively the radiated emissions from a printed circuit board. This work deals with the influence of image planes on radiation from current trace. The configu- rations of one and two layers of image planes on both sides of current trace are proposed. The radiated emissions of those configurations have been calculated by solving a set of electric field integral equations by the method of moments. The induced current distributions on image planes and the radiation patterns are analyzed for different configurations of image planes, the distance between current trace and image planes, and the frequency of signal current.

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Electromagnetic Resonant Transmission through Slits in a Cavity inside Conducting Screen of Finite Thickness (두께가 유한한 도체 스크린 내부 캐비티의 슬릿을 통한 전자파 공진 투과)

  • Lee, Jong-Ig;Cho, Young-Ki
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.21 no.10
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    • pp.1094-1102
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    • 2010
  • In this paper, the problem of electromagnetic transmission via slits in a cavity inside conducting screen of finite thickness is considered for the case that the TE(to the slit axis) polarized plane wave is incident on the slit in conducting screen. Using the method of moments the variations of the transmitted power through the slits are obtained and compared with those computed from an equivalent circuit constructed using an equivalent slit admittance. It is found that the effective slit width of a narrow slit, at resonance, becomes $1/{\pi}$ wavelengths independently of the actual slit width. The transmission resonance phenomena in the proposed geometry are explained in connection with the variations of an equivalent admittance of the slit in the cavity.

Electromagnetic Transmission through Slits in Two Adjacent Conducting Parallel-Plates (근접하는 도체 평행 평판의 슬릿을 통한 전자파 투과)

  • Lee, Jong-Ig;Ko, Ji-Hwan;Cho, Young-Ki
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.20 no.1
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    • pp.83-90
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    • 2009
  • In this paper, the problem of electromagnetic transmission through slits in two parallel conducting plates which separate two half spaces is considered. The coupled integral equations for the electric field distributions over the slits are developed for the case that the TM polarized plane wave is incident on the slit and solved by the method of moments. The transmitted power beyond the slit-perforated conducting parallel plates is computed in order to check the variations of the coupled power through slits against some parameters such as the incident angle of the TM polarized wave, slit width, lateral distance between two slits, and distance between the conducting plates. When the lateral distance between two slits approaches near the multiples of half wavelengths, the transmission resonance (maximum power transmission) is observed. If the slit width in the incident side is narrow and the distance between conducting plates is small compared to the wavelength, the maximum of transmitted power is observed to be nearly independent of the incident angle and slit width. In addition, the mechanism of the transmission resonance in the present geometry is explained using a simplified geometry and its equivalent circuit.