• Title/Summary/Keyword: Poisson approximation

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A Boundness Analysis of Performance on the Nested Queueing Network with Population Constraint (용량제한을 갖는 중첩형 대기행렬 네트워크의 성능 범위분석)

  • Rhee, Young
    • Journal of KIISE:Computer Systems and Theory
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    • v.36 no.4
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    • pp.239-246
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    • 2009
  • In this study, we analyze the mean waiting time on the nested open queueing network, where the population within each subnetwork is controlled by a semaphore queue. The queueing network can be transformed into a simpler queueing network in terms of customers waiting time. A major characteristic of this model is that the lower layer flow is halted by the state of higher layer. Since this type of queueing network does not have exact solutions for performance measure, the lower bound and upper bound on the mean waiting time are checked by comparing them with the mean waiting time in the transformed nested queueing network. Simulation estimates are obtained assuming Poisson arrivals and other phase-type arrival process, i.e., Erlang and hyper-exponential distributions. The bounds obtained can be applied to get more close approximation using the suitable approach.

Analysis of Dimension Dependent Subthreshold Swing for Double Gate FinFET Under 20nm (20nm이하 이중게이트 FinFET의 크기변화에 따른 서브문턱스윙분석)

  • Jeong Hak-Gi;Lee Jong-In;Joung Dong-Su
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2006.05a
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    • pp.865-868
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    • 2006
  • In this paper, the subthreshold swing has been analyzed for double gate FinFET under channel length of 20nm. The analytical current model has been developed, including thermionic current and tunneling current models. The potential distribution by Poisson equation and carrier distribution by Maxwell-Boltzman statistics are used to calculate thermionic emission current, and WKB(Wentzel-Framers-Brillouin) approximation to tunneling current. The cutoff current is obtained by simple adding two currents since two current is independent. The subthreshold swings by this model are compared with those by two dimensional simulation and two values are good agreement. Since the tunneling current increases especially under channel length of 10nm, the characteristics of subthreshold swing is degraded. The channel and gate oxide thickness have to be fabricated as thin as possible to decrease this short channel effects and this process has to be developed. The subthreshold swings as a function of channel doping concentrations are obtained.

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Analysis of Dimension Dependent Threshold Voltage Roll-off for Nano Structure Double Gate FinFET (나노구조 이중게이트 FinFET의 크기변화에 따른 문턱전압이동 분석)

  • Jeong Hak-Gi;Lee Jae-Hyung;Joung Dong-Su
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2006.05a
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    • pp.869-872
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    • 2006
  • In this paper, the threshold voltage roll-off been analyzed for nano structure double gate FinFET. The analytical current model has been developed , including thermionic current and tunneling current models. The potential distribution by Poisson equation and carrier distribution by Maxwell-Boltzman statistics are used to calculate thermionic emission current, and WKB(Wentzel- framers-Brillouin) approximation to tunneling current. The threshold voltage roll-offs are obtained by simple adding two currents since two current is independent. The threshold voltage roll-off by this model are compared with those by two dimensional simulation and two values are good agreement. Since the tunneling current increases especially under channel length of 10nm, the threshold voltage roll-off Is very large. The channel and gate oxide thickness have to be fabricated as thin as possible to decrease this short channel effects and this process has to be developed.

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Analysis of Dimension-Dependent Threshold Voltage Roll-off and DIBL for Nano Structure Double Gate FinFET (나노구조 이중게이트 FinFET의 크기변화에 따른 문턱전압이동 및 DIBL 분석)

  • Jung, Hak-Kee
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.11 no.4
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    • pp.760-765
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    • 2007
  • In this paper, the threshold voltage roll-off and drain induced barrier lowering(DIBL) have been analyzed for nano structure double gate FinFET. The analytical current model has been developed, including thermionic current and tunneling current models. The potential distribution by Poisson equation and carrier distribution by Maxwell-Boltzman statistics were used to calculate thermionic omission current, and WKB(Wentzel- Kramers-Brillouin) approximation to tunneling current. The threshold voltage roll-offs are obtained by simple adding two currents since two current is independent. The threshold voltage roll-off by this model are compared with those by two dimensional simulation and two values are good agreement. Since the tunneling current increases especially under channel length of 10nm, the threshold voltage roll-off and DIBL are very large. The channel and gate oxide thickness have to be fabricated as thin as possible to decrease this short channel effects, and this process has to be developed.

Analysis of On-Off Voltage △Von-off in Sub-10 nm Junctionless Cylindrical Surrounding Gate MOSFET (10 nm 이하 무접합 원통형 MOSFET의 온-오프전압△Von-off에 대한 분석)

  • Jung, Hak-kee
    • Journal of IKEEE
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    • v.23 no.1
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    • pp.29-34
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    • 2019
  • We investigated on-off voltage ${\Delta}V_{on-off}$ of sub-10 nm JLCSG (Junctionless Cylindrical Surrounding Gate) MOSFET. The gate voltage was defined as ON voltage for the subthreshold current of $10^{-7}A$ and OFF voltage for the subthreshold current of $10^{-12}A$, and the difference between ON and OFF voltage was obtained. Since the tunneling current was not negligible at 10 nm or less, we observe the change of ${\Delta}V_{on-off}$ depending on the presence or absence of the tunneling current. For this purpose, the potential distribution in the channel was calculated using the Poisson equation and the tunneling current was calculated using the WKB approximation. As a result, it was found that ${\Delta}V_{on-off}$ was increased due to the tunneling current in JLCSG MOSFETs below 10 nm. Especially, it increased rapidly with channel lengths less than 8 nm and increased with increasing channel radius and oxide thickness.

Influence on Short Channel Effects by Tunneling for Nano structure Double Gate MOSFET (나노구조 이중게이트 MOSFET에서 터널링이 단채널효과에 미치는 영향)

  • Jung, Hak-Kee
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.10 no.3
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    • pp.479-485
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    • 2006
  • The double gate(DG) MOSFET is a promising candidate to further extend the CMOS scaling and provide better control of short channel effect(SCE). DGMOSFETs, having ultra thin undoped Si channel for SCEs control, ale being validated for sub-20nm scaling. A novel analytical transport model for the subthreshold mode of DGMOSFETs is proposed in this paper. The model enables analysis of short channel effect such as the subthreshold swing(SS), the threshold voltage roil-off$({\Delta}V_{th})$ and the drain induced barrier lowering(DIBL). The proposed model includes the effects of thermionic emission and quantum tunneling of carriers through the source-drain barrier. An approximative solution of the 2D Poisson equation is used for the distribution of electric potential, and Wentzel-Kramers-Brillouin approximation is used for the tunneling probability. The new model is used to investigate the subthreshold characteristics of a double gate MOSFET having the gate length in the nanometer range $(5-20{\sim}nm)$ with ultra thin gate oxide and channel thickness. The model is verified by comparing the subthreshold swing and the threshold voltage roll-off with 2D numerical simulations. The proposed model is used to design contours for gate length, channel thickness, and gate oxide thickness.