43 research outputs found

    Characterization of self-heating effects and assessment of its impact on reliability in finfet technology

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    The systematically growing power (heat) dissipation in CMOS transistors with each successive technology node is reaching levels which could impact its reliable operation. The emergence of technologies such as bulk/SOI FinFETs has dramatically confined the heat in the device channel due to its vertical geometry and it is expected to further exacerbate with gate-all-around transistors. This work studies heat generation in the channel of semiconductor devices and measures its dissipation by means of wafer level characterization and predictive thermal simulation. The experimental work is based on several existing device thermometry techniques to which additional layout improvements are made in state of the art bulk FinFET and SOI FinFET 14nm technology nodes. The sensors produce excellent matching results which are confirmed through TCAD thermal simulation, differences between sensor types are quantified and error bars on measurements are established. The lateral heat transport measurements determine that heat from the source is mostly dissipated at a distance of 1µm and 1.5µm in bulk FinFET and SOI FinFET, respectively. Heat additivity is successfully confirmed to prove and highlight the fact that the whole system needs to be considered when performing thermal analysis. Furthermore, an investigation is devoted to study self-heating with different layout densities by varying the number of fins and fingers per active region (RX). Fin thermal resistance is measured at different ambient temperatures to show its variation of up to 70% between -40°C to 175°C. Therefore, the Si fin has a more dominant effect in heat transport and its varying thermal conductivity should be taken into account. The effect of ambient temperature on self-heating measurement is confirmed by supplying heat through thermal chuck and adjacent heater devices themselves. Motivation for this work is the continuous evolution of the transistor geometry and use of exotic materials, which in the recent technology nodes made heat removal more challenging. This poses reliability and performance concerns. Therefore, this work studies the impact of self-heating on reliability testing at DC conditions as well as realistic CMOS logic operating (AC) conditions. Front-end-of-line (FEOL) reliability mechanisms, such as hot carrier injection (HCI) and non-uniform time dependent dielectric breakdown (TDDB), are studied to show that self-heating effects can impact measurement results and recommendations are given on how to mitigate them. By performing an HCI stress at moderate bias conditions, this dissertation shows that the laborious techniques of heat subtraction are no longer necessary. Self-heating is also studied at more realistic device switching conditions by utilizing ring oscillators with several densities and stage counts to show that self-heating is considerably lower compared to constant voltage stress conditions and degradation is not distinguishable

    5nm 이하 3D Transistors의 Self-Heating 및 전열특성분석 연구

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    학위논문(박사) -- 서울대학교대학원 : 공과대학 전기·컴퓨터공학부, 2021.8. 신형철.In this thesis, Self-Heating Effect (SHE) is investigated using TCAD simulations in various Sub-10-nm node Field Effect Transistor (FET). As the node decreases, logic devices have evolved into 3D MOSFET structures from Fin-FET to Nanosheet-FET. In the case of 3D MOSFET, there are thermal reliability issues due to the following reasons: ⅰ) The power density of the channel is high, ⅱ) The channel structure surrounded by SiO2, ⅲ) The overall low thermal conductivity characteristics due to scaling down. Many papers introduce the analysis and prediction of temperature rise by SHE in the device, but there are no papers presenting the content of mitigation of temperature rise. Therefore, we have studied the methods of decreasing the maximum lattice temperature (TL,max) such as shallow trench isolation (STI) composition engineering in Fin-FET, thermal analysis according to DC/AC/duty cycle in nanowire-FET, and active region ( e.g., gate metal thickness, channel width, channel number etc..) optimization in nanosheet-FET. In addition, lifetime affected by hot carrier injection (HCI) / bias-temperature instability (BTI) is also analyzed according to various thermal relaxation methods presented.이 논문에서는 다양한 Sub-10nm 노드 전계 효과 트랜지스터 (FET)에서 TCAD 시뮬레이션을 사용하여 자체 발열 효과 (SHE)를 조사합니다. 노드가 감소함에 따라 논리 장치는 Fin-FET에서 Nanosheet-FET로 3D MOSFET 구조로 진화했습니다. 3D MOSFET의 경우 ⅰ) 채널의 전력 밀도가 높음, ⅱ) SiO2로 둘러싸인 채널 구조, ⅲ) 축소로 인해 전체적으로 낮은 열전도 특성 등 다음과 같은 이유로 열 신뢰성 문제가 있습니다. 한편, 많은 논문이 device에서 SHE에 의한 온도 상승의 분석 및 예측을 소개하지만 온도 상승 완화의 내용을 제시하는 논문은 거의 없습니다. 따라서 Fin-FET의 STI (Shallow Trench Isolation) 구성 공학, nanowire-FET의 DC / AC / 듀티 사이클에 따른 열 분석, nanosheet-FET에서 소자의 중요영역(예: 게이트 금속 두께, 채널 폭, 채널 번호 등)의 최적화를 통해서 최대 격자 온도 (TL,max)를 낮추는 방법등을 연구했습니다. 또한 더 나아가서 HCI (Hot Carrier Injection) / BTI (Bias-Temperature Instability)의 영향을 받는 수명도 제시된 다양한 열 완화 방법에 따라 분석하여 소자의 제작에 있어 열적 특성과 수명을 좋게 만드는 지표를 제시합니다 .Chapter 1 Introduction 1 1.1. Development of Semconductor structure 1 1.2. Self-Heating Effect issues in semiconductor devices 3 Chapter 2 Thermal-Aware Shallow Trench Isolation Design Optimization for Minimizing Ioff in Various Sub-10-nm 3-D Transistor 7 2.1. Introduction 7 2.2. Device Structure and Simulation Condition 7 2.3. Results and Discussion 12 2.4. Summary 27 Chapter 3 Analysis of Self Heating Effect in DC/AC Mode in Multi-channel GAA-Field Effect Transistor 32 3.1. Introduction 32 3.2. Multi-Channel Nanowire FET and Back End Of Line 33 3.3. Work Flow and Calibration Process 35 3.4. More Detailed Thermal Simulation of Nanowire-FET 37 3.5. Performance Analysis by Number of Channels 38 3.6. DC Characteristic of SHE in Nanowire-FETs 40 3.7. AC Characteristics of SHE in Nanowire-FETs 43 3.8. Summary 51 Chapter 4 Self-Heating and Electrothermal Properties of Advanced Sub-5-nm node Nanoplate FET 56 4.1. Introduction 56 4.2. Device Structure and Simulation Condition 57 4.3. Thermal characteristics by channel number and width 62 4.4. Thermal characteristics by inter layer-metal thickness (TM) 64 4.5. Life Time Prediction 65 4.6. Summary 67 Chapter 5 Study on Self Heating Effect and life time in Vertical-channel Field Effect Transistor 72 5.1. Introduction 72 5.2. Device Structure and Simulation Condition 72 5.3. Temperature and RTH according to channel width(TW) 76 5.4. Thermal properties according to air spacers and air gap 77 5.5. Ion boosting according to Channel numbers 81 5.6. Temperature imbalance of multi-channel VFETs 82 5.7. Mitigation of the channel temperature imbalance 86 5.8. Life time depending on various analysis conditions 88 5.9. Summary 89 Chapter 6 Conclusions 93 Appendix A. A Simple and Accurate Modeling Method of Channel Thermal Noise Using BSIM4 Noise Models 95 A.1. Introduction 95 A.2. Overall Schematic of the RF MOSFET Model 97 A.3. Verification of the DC Characteristics of the RF MOSFET Model 98 A.4. Verification of the MOSFET Model with Measured Y-parameters 100 A.5. Verification of the MOSFET Model with Measured Noise Parameters 101 A.6. Thermal Noise Extraction and Modeling (TNOIMOD = 0) 103 A.7. Verification of the Enhanced Model with Noise Parameters 112 A.8. Holistic Model (TNOIMOD = 1) 114 A.9. Evaluation the validity of the model for drain bias 115 A.10. Conclusion 117 Abstract in Korean 122박

    Strain-Engineered MOSFETs

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    This book brings together new developments in the area of strain-engineered MOSFETs using high-mibility substrates such as SIGe, strained-Si, germanium-on-insulator and III-V semiconductors into a single text which will cover the materials aspects, principles, and design of advanced devices, their fabrication and applications. The book presents a full TCAD methodology for strain-engineering in Si CMOS technology involving data flow from process simulation to systematic process variability simulation and generation of SPICE process compact models for manufacturing for yield optimization

    Cross-Layer Resiliency Modeling and Optimization: A Device to Circuit Approach

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    The never ending demand for higher performance and lower power consumption pushes the VLSI industry to further scale the technology down. However, further downscaling of technology at nano-scale leads to major challenges. Reduced reliability is one of them, arising from multiple sources e.g. runtime variations, process variation, and transient errors. The objective of this thesis is to tackle unreliability with a cross layer approach from device up to circuit level

    A statistical study of time dependent reliability degradation of nanoscale MOSFET devices

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    Charge trapping at the channel interface is a fundamental issue that adversely affects the reliability of metal-oxide semiconductor field effect transistor (MOSFET) devices. This effect represents a new source of statistical variability as these devices enter the nano-scale era. Recently, charge trapping has been identified as the dominant phenomenon leading to both random telegraph noise (RTN) and bias temperature instabilities (BTI). Thus, understanding the interplay between reliability and statistical variability in scaled transistors is essential to the implementation of a ‘reliability-aware’ complementary metal oxide semiconductor (CMOS) circuit design. In order to investigate statistical reliability issues, a methodology based on a simulation flow has been developed in this thesis that allows a comprehensive and multi-scale study of charge-trapping phenomena and their impact on transistor and circuit performance. The proposed methodology is accomplished by using the Gold Standard Simulations (GSS) technology computer-aided design (TCAD)-based design tool chain co-optimization (DTCO) tool chain. The 70 nm bulk IMEC MOSFET and the 22 nm Intel fin-shape field effect transistor (FinFET) have been selected as targeted devices. The simulation flow starts by calibrating the device TCAD simulation decks against experimental measurements. This initial phase allows the identification of the physical structure and the doping distributions in the vertical and lateral directions based on the modulation in the inversion layer’s depth as well as the modulation of short channel effects. The calibration is further refined by taking into account statistical variability to match the statistical distributions of the transistors’ figures of merit obtained by measurements. The TCAD simulation investigation of RTN and BTI phenomena is then carried out in the presence of several sources of statistical variability. The study extends further to circuit simulation level by extracting compact models from the statistical TCAD simulation results. These compact models are collected in libraries, which are then utilised to investigate the impact of the BTI phenomenon, and its interaction with statistical variability, in a six transistor-static random access memory (6T-SRAM) cell. At the circuit level figures of merit, such as the static noise margin (SNM), and their statistical distributions are evaluated. The focus of this thesis is to highlight the importance of accounting for the interaction between statistical variability and statistical reliability in the simulation of advanced CMOS devices and circuits, in order to maintain predictivity and obtain a quantitative agreement with a measured data. The main findings of this thesis can be summarised by the following points: Based on the analysis of the results, the dispersions of VT and ΔVT indicate that a change in device technology must be considered, from the planar MOSFET platform to a new device architecture such as FinFET or SOI. This result is due to the interplay between a single trap charge and statistical variability, which has a significant impact on device operation and intrinsic parameters as transistor dimensions shrink further. The ageing process of transistors can be captured by using the trapped charge density at the interface and observing the VT shift. Moreover, using statistical analysis one can highlight the extreme transistors and their probable effect on the circuit or system operation. The influence of the passgate (PG) transistor in a 6T-SRAM cell gives a different trend of the mean static noise margin

    Technology CAD of Nanowire FinFETs

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    Strained Silicon Fin-Based High Electron Mobility Transistor for Optimal Device Design of Performance and Reliability

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    Department of Electrical EngineeringI present the predictions of scaling and process variation for a strained-silicon (s-Si) fin-based high electron mobility transistor (FinHEMT) with well-tempered, short-channel characteristics. The operation principle of FinHEMT, which the SiGe behaves as an additional insulator forming quantum well (QW) channel in s-Si with the conduction band off-set improving the effective electron mobility, is clearly shown. By calibrating with experimental data, the high electron mobility ( ~1100 cm2/Vs) and enhanced effective mobility (up to 2??) of the FinHEMT is predicted by suppressing the surface roughness scattering effect in the s-Si QW channel. An extensive simulation is performed to find the optimized structure. The Si capping layer is replaced as high-??? dielectric insulator to prevent the gate leakage current, and undoped SiGe layer is eliminated because the conduction band off-set (???EC) is enough to confine the electrons in s-Si QW channel. The parameter analysis is performed for both long and short channel regime of FinHEMT. Finally, suppressed OFF-current (IOFF) and improved ON-current (ION) with enhanced mobility can be achieved by fabrication process optimization and 1019 cm-3 of doping concentration and 2 nm thick of SiGe. Especially in short channel regime, maximized ION and gate controllability clarify the FinHEMT optimization. With enhanced effective mobility, excellent scalability of the FinHEMT ION > 1.1 mA/???m at LG= 10 nm is predicted because the high channel mobility can reduce the series resistivity in the scaled device. Owing to this low series resistivity, The FinHEMT has little effect on the process variation. Moreover, the unique operation principle of FinHEMT, which the part of doped SiGe layer behaves as an additional high-??? dielectric insulator, enhances the hot carrier reliability of FinHEMT by suppressing gate leakage current.ope

    GIDL characteristics on Si1-xGex pFinFET for Low Power Transistors

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    학위논문 (박사)-- 서울대학교 대학원 : 전기·컴퓨터공학부, 2016. 2. 신형철.This dissertation presents an investigation of Gate-Induced-Drain-Leakage (GIDL) current in SiliconGermanium (SiGe) p-type FinFET for low power transistors and proposes the guidelines to reduce GIDL current. First, the main mechanism of GIDL current in FinFET was thoroughly investigated because conventional GIDL current is unexpected event in FinFET. Therefore, GIDL current in FinFET is analyzed by comparing that in MOSFET which has the same device specification as the FinFET. Second, the effects of Ge fraction and its distribution in internal fin on GIDL current were analyzed considering actually manufactured fin in SiGe FinFET. Third, the analysis of GIDL current by the device specifications and doping profile in drain region was presented. As a result, guidelines are presented considering the results above. The main mechanism and the characteristics of GIDL current in FinFET which are investigated in this dissertation would be and index to improve the characteristics of manufactured SiGe FinFET.Chapter 1. Introduction 1 1.1. Multigate MOSFET 1 1.2. SiliconGermanium (SiGe) characteristics 4 1.3. Scope and Organization 7 Chapter 2. Gate-Induced-Drain-leakage current in FinFET 8 2.1. Introduction 8 2.2. Modeling of GIDL current 12 2.3. Comparison of GIDL between MOSFET and FinFET 16 2.4. Summary 28 Chapter 3. Effects of device specifications on GIDL 29 3.1. Introduction 29 3.2. Effects of Ge fraction in Si1-xGex pFinFET on GIDL 30 3.3. Effects of manufacturing process conditions on GIDL 41 3.4. Effects of doping profile on GIDL 49 3.5. Junction depth under the drain region 58 3.6. Summary 63 Chapter 4. Optimization of Si1-xGex pFinFET for low-power transistor 64 Chapter 5. Conclusion 68 Appendix A. Leakage current by strain engineering 70 A.1. Introduction 70 A.2. Effect of interface traps on leakage current 72 A.3. Effect of band-gap on leakage current 75 A.4. Conclusion 77 Abstract in Korean 90Docto

    Variability analysis of FinFET AC/RF performances through efficient physics-based simulations for the optimization of RF CMOS stages

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    A nearly insatiable appetite for the latest electronic device enables the electronic technology sector to maintain research momentum. The necessity for advancement with miniaturization of electronic devices is the need of the day. Aggressive downscaling of electronic devices face some fundamental limits and thus, buoy up the change in device geometry. MOSFETs have been the leading contender in the electronics industry for years, but the dire need for miniaturization is forcing MOSFET to be scaled to nano-scale and in sub-50 nm scale. Short channel effects (SCE) become dominant and adversely affect the performance of the MOSFET. So, the need for a novel structure was felt to suppress SCE to an acceptable level. Among the proposed devices, FinFETs (Fin Field Effect Transistors) were found to be most effective to counter-act SCE in electronic devices. Today, many industries are working on electronic circuits with FinFETs as their primary element.One of limitation which FinFET faces is device variability. The purpose of this work was to study the effect that different sources of parameter fluctuations have on the behavior and characteristics of FinFETs. With deep literature review, we have gained insight into key sources of variability. Different sources of variations, like random dopant fluctuation, line edge roughness, fin variations, workfunction variations, oxide thickness variation, and source/drain doping variations, were studied and their impact on the performance of the device was studied as well. The adverse effect of these variations fosters the great amount of research towards variability modeling. A proper modeling of these variations is required to address the device performance metric before the fabrication of any new generation of the device on the commercial scale. The conventional methods to address the characteristics of a device under variability are Monte-Carlo-like techniques. In Monte Carlo analysis, all process parameters can be varied individually or simultaneously in a more realistic approach. The Monte Carlo algorithm takes a random value within the range of each process parameter and performs circuit simulations repeatedly. The statistical characteristics are estimated from the responses. This technique is accurate but requires high computational resources and time. Thus, efforts are being put by different research groups to find alternative tools. If the variations are small, Green’s Function (GF) approach can be seen as a breakthrough methodology. One of the most open research fields regards "Variability of FinFET AC performances". One reason for the limited AC variability investigations is the lack of commercially available efficient simulation tools, especially those based on accurate physics-based analysis: in fact, the only way to perform AC variability analysis through commercial TCAD tools like Synopsys Sentaurus is through the so-called Monte Carlo approach, that when variations are deterministic, is more properly referred to as incremental analysis, i.e., repeated solutions of the device model with varying physical parameters. For each selected parameter, the model must be solved first in DC operating condition (working point, WP) and then linearized around the WP, hence increasing severely the simulation time. In this work, instead, we used GF approach, using our in-house Simulator "POLITO", to perform AC variability analysis, provided that variations are small, alleviating the requirement of double linearization and reducing the simulation time significantly with a slight trade-off in accuracy. Using this tool we have, for the first time addressed the dependency of FinFET AC parameters on the most relevant process variations, opening the way to its application to RF circuits. This work is ultimately dedicated to the successful implementation of RF stages in commercial applications by incorporating variability effects and controlling the degradation of AC parameters due to variability. We exploited the POLITO (in-house simulator) limited to 2D structures, but this work can be extended to the variability analysis of 3D FinFET structure. Also variability analysis of III-V Group structures can be addressed. There is also potentiality to carry out the sensitivity analysis for the other source of variations, e.g., thermal variations

    Design for Reliability and Low Power in Emerging Technologies

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    Die fortlaufende Verkleinerung von Transistor-Strukturgrößen ist einer der wichtigsten Antreiber für das Wachstum in der Halbleitertechnologiebranche. Seit Jahrzehnten erhöhen sich sowohl Integrationsdichte als auch Komplexität von Schaltkreisen und zeigen damit einen fortlaufenden Trend, der sich über alle modernen Fertigungsgrößen erstreckt. Bislang ging das Verkleinern von Transistoren mit einer Verringerung der Versorgungsspannung einher, was zu einer Reduktion der Leistungsaufnahme führte und damit eine gleichbleibenden Leistungsdichte sicherstellte. Doch mit dem Beginn von Strukturgrößen im Nanometerbreich verlangsamte sich die fortlaufende Skalierung. Viele Schwierigkeiten, sowie das Erreichen von physikalischen Grenzen in der Fertigung und Nicht-Idealitäten beim Skalieren der Versorgungsspannung, führten zu einer Zunahme der Leistungsdichte und, damit einhergehend, zu erschwerten Problemen bei der Sicherstellung der Zuverlässigkeit. Dazu zählen, unter anderem, Alterungseffekte in Transistoren sowie übermäßige Hitzeentwicklung, nicht zuletzt durch stärkeres Auftreten von Selbsterhitzungseffekten innerhalb der Transistoren. Damit solche Probleme die Zuverlässigkeit eines Schaltkreises nicht gefährden, werden die internen Signallaufzeiten üblicherweise sehr pessimistisch kalkuliert. Durch den so entstandenen zeitlichen Sicherheitsabstand wird die korrekte Funktionalität des Schaltkreises sichergestellt, allerdings auf Kosten der Performance. Alternativ kann die Zuverlässigkeit des Schaltkreises auch durch andere Techniken erhöht werden, wie zum Beispiel durch Null-Temperatur-Koeffizienten oder Approximate Computing. Wenngleich diese Techniken einen Großteil des üblichen zeitlichen Sicherheitsabstandes einsparen können, bergen sie dennoch weitere Konsequenzen und Kompromisse. Bleibende Herausforderungen bei der Skalierung von CMOS Technologien führen außerdem zu einem verstärkten Fokus auf vielversprechende Zukunftstechnologien. Ein Beispiel dafür ist der Negative Capacitance Field-Effect Transistor (NCFET), der eine beachtenswerte Leistungssteigerung gegenüber herkömmlichen FinFET Transistoren aufweist und diese in Zukunft ersetzen könnte. Des Weiteren setzen Entwickler von Schaltkreisen vermehrt auf komplexe, parallele Strukturen statt auf höhere Taktfrequenzen. Diese komplexen Modelle benötigen moderne Power-Management Techniken in allen Aspekten des Designs. Mit dem Auftreten von neuartigen Transistortechnologien (wie zum Beispiel NCFET) müssen diese Power-Management Techniken neu bewertet werden, da sich Abhängigkeiten und Verhältnismäßigkeiten ändern. Diese Arbeit präsentiert neue Herangehensweisen, sowohl zur Analyse als auch zur Modellierung der Zuverlässigkeit von Schaltkreisen, um zuvor genannte Herausforderungen auf mehreren Designebenen anzugehen. Diese Herangehensweisen unterteilen sich in konventionelle Techniken ((a), (b), (c) und (d)) und unkonventionelle Techniken ((e) und (f)), wie folgt: (a)\textbf{(a)} Analyse von Leistungszunahmen in Zusammenhang mit der Maximierung von Leistungseffizienz beim Betrieb nahe der Transistor Schwellspannung, insbesondere am optimalen Leistungspunkt. Das genaue Ermitteln eines solchen optimalen Leistungspunkts ist eine besondere Herausforderung bei Multicore Designs, da dieser sich mit den jeweiligen Optimierungszielsetzungen und der Arbeitsbelastung verschiebt. (b)\textbf{(b)} Aufzeigen versteckter Interdependenzen zwischen Alterungseffekten bei Transistoren und Schwankungen in der Versorgungsspannung durch „IR-drops“. Eine neuartige Technik wird vorgestellt, die sowohl Über- als auch Unterschätzungen bei der Ermittlung des zeitlichen Sicherheitsabstands vermeidet und folglich den kleinsten, dennoch ausreichenden Sicherheitsabstand ermittelt. (c)\textbf{(c)} Eindämmung von Alterungseffekten bei Transistoren durch „Graceful Approximation“, eine Technik zur Erhöhung der Taktfrequenz bei Bedarf. Der durch Alterungseffekte bedingte zeitlich Sicherheitsabstand wird durch Approximate Computing Techniken ersetzt. Des Weiteren wird Quantisierung verwendet um ausreichend Genauigkeit bei den Berechnungen zu gewährleisten. (d)\textbf{(d)} Eindämmung von temperaturabhängigen Verschlechterungen der Signallaufzeit durch den Betrieb nahe des Null-Temperatur Koeffizienten (N-ZTC). Der Betrieb bei N-ZTC minimiert temperaturbedingte Abweichungen der Performance und der Leistungsaufnahme. Qualitative und quantitative Vergleiche gegenüber dem traditionellen zeitlichen Sicherheitsabstand werden präsentiert. (e)\textbf{(e)} Modellierung von Power-Management Techniken für NCFET-basierte Prozessoren. Die NCFET Technologie hat einzigartige Eigenschaften, durch die herkömmliche Verfahren zur Spannungs- und Frequenzskalierungen zur Laufzeit (DVS/DVFS) suboptimale Ergebnisse erzielen. Dies erfordert NCFET-spezifische Power-Management Techniken, die in dieser Arbeit vorgestellt werden. (f)\textbf{(f)} Vorstellung eines neuartigen heterogenen Multicore Designs in NCFET Technologie. Das Design beinhaltet identische Kerne; Heterogenität entsteht durch die Anwendung der individuellen, optimalen Konfiguration der Kerne. Amdahls Gesetz wird erweitert, um neue system- und anwendungsspezifische Parameter abzudecken und die Vorzüge des neuen Designs aufzuzeigen. Die Auswertungen der vorgestellten Techniken werden mithilfe von Implementierungen und Simulationen auf Schaltkreisebene (gate-level) durchgeführt. Des Weiteren werden Simulatoren auf Systemebene (system-level) verwendet, um Multicore Designs zu implementieren und zu simulieren. Zur Validierung und Bewertung der Effektivität gegenüber dem Stand der Technik werden analytische, gate-level und system-level Simulationen herangezogen, die sowohl synthetische als auch reale Anwendungen betrachten
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