A novel deep submicron bulk planar sizing strategy for low energy subthreshold standard cell libraries

Engineering andPhysical Science ResearchCouncil (EPSRC) and Arm Ltd for providing funding in the form of grants and studentshipsThis work investigates bulk planar deep submicron semiconductor physics in an attempt to improve standard cell libraries aimed at operation in the subthreshold regime and in Ultra Wide Dynamic Voltage Scaling schemes. The current state of research in the field is examined, with particular emphasis on how subthreshold physical effects degrade robustness, variability and performance. How prevalent these physical effects are in a commercial 65nm library is then investigated by extensive modeling of a BSIM4.5 compact model. Three distinct sizing strategies emerge, cells of each strategy are laid out and post-layout parasitically extracted models simulated to determine the advantages/disadvantages of each. Full custom ring oscillators are designed and manufactured. Measured results reveal a close correlation with the simulated results, with frequency improvements of up to 2.75X/2.43X obs erved for RVT/LVT devices respectively. The experiment provides the first silicon evidence of the improvement capability of the Inverse Narrow Width Effect over a wide supply voltage range, as well as a mechanism of additional temperature stability in the subthreshold regime. A novel sizing strategy is proposed and pursued to determine whether it is able to produce a superior complex circuit design using a commercial digital synthesis flow. Two 128 bit AES cores are synthesized from the novel sizing strategy and compared against a third AES core synthesized from a state-of-the-art subthreshold standard cell library used by ARM. Results show improvements in energy-per-cycle of up to 27.3% and frequency improvements of up to 10.25X. The novel subthreshold sizing strategy proves superior over a temperature range of 0 °C to 85 °C with a nominal (20 °C) improvement in energy-per-cycle of 24% and frequency improvement of 8.65X. A comparison to prior art is then performed. Valid cases are presented where the proposed sizing strategy would be a candidate to produce superior subthreshold circuits

Statistical analysis and comparison of 2T and 3T1D e-DRAM minimum energy operation

Bio-medical wearable devices restricted to their small-capacity embedded-battery require energy-efficiency of the highest order. However, minimum-energy point (MEP) at sub-threshold voltages is unattainable with SRAM memory, which fails to hold below 0.3V because of its vanishing noise margins. This paper examines the minimum-energy operation point of 2T and 3T1D e-DRAM gain cells at the 32-nm technology node with different design points: up-sizing transistors, using high- V th transistors, read/write wordline assists; as well as operating conditions (i.e., temperature). First, the e-DRAM cells are evaluated without considering any process variations. Then, a full-factorial statistical analysis of e-DRAM cells is performed in the presence of threshold voltage variations and the effect of upsizing on mean MEP is reported. Finally, it is shown that the product of the read and write lengths provides a knob to tradeoff energy-efficiency for reliable MEP energy operation.Peer ReviewedPostprint (author's final draft

Variation Resilient Adaptive Controller for Subthreshold Circuits

Subthreshold logic is showing good promise as a viable ultra-low-power circuit design technique for power-limited applications. For this design technique to gain widespread adoption, one of the most pressing concerns is how to improve the robustness of subthreshold logic to process and temperature variations. We propose a variation resilient adaptive controller for subthreshold circuits with the following novel features: new sensor based on time-to-digital converter for capturing the variations accurately as digital signatures, and an all-digital DC-DC converter incorporating the sensor capable of generating an operating operating Vdd from 0V to 1.2V with a resolution of 18.75mV, suitable for subthreshold circuit operation. The benefits of the proposed controller is reflected with energy improvement of up to 55% compared to when no controller is employed. The detailed implementation and validation of the proposed controller is discussed

Subthreshold circuits: Design, implementation and application

Digital circuits operating in the subthreshold region of the transistor are being used as an ideal option for ultra low power complementary metal-oxide-semiconductor (CMOS) design. The use of subthreshold circuit design in cryptographic systems is gaining importance as a counter measure to power analysis attacks. A power analysis attack is a non-invasive side channel attack in which the power consumption of the cryptographic system can be analyzed to retrieve the encrypted data. A number of techniques to increase the resistance to power attacks have been proposed at algorithmic and hardware levels, but these techniques suffer from large area and power overheads. The main aim of this research is to understand the viability of implementing subthreshold systems for cryptographic applications. Standard cell libraries in subthreshold are designed and a methodology to identify the minimum energy point, aspect ratio, frequency range and operating voltage for CMOS standard cells is defined. As scalar multiplication is the fundamental operation in elliptic curve cryptographic systems, a digit-level gaussian normal basis (GNB) multiplier is implemented using the aforementioned standard cells. A similar standard-cell library is designed for the multiplier to operate in the superthreshold regime. The subthreshold and superthreshold multipliers are then subjected to a differential power analysis attack. Power performance and signal-to-noise ratio (SNR) of both these systems are compared to evaluate the usefulness of the subthreshold design. The power consumption of the subthreshold multiplier is 4.554 uW, the speed of the multiplier is 65.1 KHz and the SNR is 40 dB. The superthreshold multiplier has a power consumption of 4.005 mW, the speed of the multiplier is 330 MHz and the SNR is 200 dB. Reduced power consumption, hence reduced SNR, increases the resistance of the subthreshold multiplier against power analysis attacks. (Refer to PDF for exact formulas)

The Integration of nearthreshold and subthreshold CMOS logic for energy minimization

With the rapid growth in the use of portable electronic devices, more emphasis has recently been placed on low-energy circuit design. Digital subthreshold complementary metal-oxide-semiconductor (CMOS) circuit design is one area of study that offers significant energy reduction by operating at a supply voltage substantially lower than the threshold voltage of the transistor. However, these energy savings come at a critical cost to performance, restricting its use to severely energy-constrained applications such as microsensor nodes. In an effort to mitigate this performance degradation in low-energy designs, nearthreshold circuit design has been proposed and implemented in digital circuits such as Intel\u27s energy-efficient hardware accelerator. The application spectrum of nearthreshold and subthreshold design could be broadened by integrating these cells into high-performance designs. This research focuses on the integration of characterized nearthreshold and subthreshold standard cells into high-performance functional modules. Within these functional modules, energy minimization is achieved while satisfying performance constraints by replacing non-critical path logic with nearthreshold and subthreshold logic cells. Specifically, the critical path method is used to bind the timing and energy constraints of the design. The design methodology was verified and tested with several benchmark circuits, including a cryptographic hash function, Skein. An average energy savings of 41.15% was observed at a circuit performance degradation factor of 10. The energy overhead of the level shifters accounted for at least 8.5% of the energy consumption of the optimized circuit, with an average energy overhead of 26.76%. A heuristic approach is developed for estimating the energy savings of the optimized design

UTB SOI SRAM cell stability under the influence of intrinsic parameter fluctuation

Intrinsic parameter fluctuations steadily increases with CMOS technology scaling. Around the 90nm technology node, such fluctuations will eliminate much of the available noise margin in SRAM based on conventional MOSFETs. Ultra thin body (UTB) SOI MOSFETs are expected to replace conventional MOSFETs for integrated memory applications due to superior electrostatic integrity and better resistant to some of the sources of intrinsic parameter fluctuations. To fully realise the performance benefits of UTB SOI based SRAM cells a statistical circuit simulation methodology which can fully capture intrinsic parameter fluctuation information into the compact model is developed. The impact on 6T SRAM static noise margin characteristics of discrete random dopants in the source/drain regions and body-thickness variations has been investigated for well scaled devices with physical channel length in the range of 10nm to 5nm. A comparison with the behaviour of a 6T SRAM based on a conventional 35nm MOSFET is also presented

Statistical analysis and design of subthreshold operation memories

This thesis presents novel methods based on a combination of well-known statistical techniques for faster estimation of memory yield and their application in the design of energy-efficient subthreshold memories. The emergence of size-constrained Internet-of-Things (IoT) devices and proliferation of the wearable market has brought forward the challenge of achieving the maximum energy efficiency per operation in these battery operated devices. Achieving this sought-after minimum energy operation is possible under sub-threshold operation of the circuit. However, reliable memory operation is currently unattainable at these ultra-low operating voltages because of the memory circuit's vanishing noise margins which shrink further in the presence of random process variations. The statistical methods, presented in this thesis, make the yield optimization of the sub-threshold memories computationally feasible by reducing the SPICE simulation overhead. We present novel modifications to statistical sampling techniques that reduce the SPICE simulation overhead in estimating memory failure probability. These sampling scheme provides 40x reduction in finding most probable failure point and 10x reduction in estimating failure probability using the SPICE simulations compared to the existing proposals. We then provide a novel method to create surrogate models of the memory margins with better extrapolation capability than the traditional regression methods. These models, based on Gaussian process regression, encode the sensitivity of the memory margins with respect to each individual threshold variation source in a one-dimensional kernel. We find that our proposed additive kernel based models have 32% smaller out-of-sample error (that is, better extrapolation capability outside training set) than using the six-dimensional universal kernel like Radial Basis Function (RBF). The thesis also explores the topological modifications to the SRAM bitcell to achieve faster read operation at the sub-threshold operating voltages. We present a ten-transistor SRAM bitcell that achieves 2x faster read operation than the existing ten-transistor sub-threshold SRAM bitcells, while ensuring similar noise margins. The SRAM bitcell provides 70% reduction in dynamic energy at the cost of 42% increase in the leakage energy per read operation. Finally, we investigate the energy efficiency of the eDRAM gain-cells as an alternative to the SRAM bitcells in the size-constrained IoT devices. We find that reducing their write path leakage current is the only way to reduce the read energy at Minimum Energy operation Point (MEP). Further, we study the effect of transistor up-sizing under the presence of threshold voltage variations on the mean MEP read energy by performing statistical analysis based on the ANOVA test of the full-factorial experimental design.Esta tesis presenta nuevos métodos basados en una combinación de técnicas estadísticas conocidas para la estimación rápida del rendimiento de la memoria y su aplicación en el diseño de memorias de energia eficiente de sub-umbral. La aparición de los dispositivos para el Internet de las cosas (IOT) y la proliferación del mercado portátil ha presentado el reto de lograr la máxima eficiencia energética por operación de estos dispositivos operados con baterias. La eficiencia de energía es posible si se considera la operacion por debajo del umbral de los circuitos. Sin embargo, la operación confiable de memoria es actualmente inalcanzable en estos bajos niveles de voltaje debido a márgenes de ruido de fuga del circuito de memoria, los cuales se pueden reducir aún más en presencia de variaciones randomicas de procesos. Los métodos estadísticos, que se presentan en esta tesis, hacen que la optimización del rendimiento de las memorias por debajo del umbral computacionalmente factible mediante la simulación SPICE. Presentamos nuevas modificaciones a las técnicas de muestreo estadístico que reducen la sobrecarga de simulación SPICE en la estimación de la probabilidad de fallo de memoria. Estos esquemas de muestreo proporciona una reducción de 40 veces en la búsqueda de puntos de fallo más probable, y 10 veces la reducción en la estimación de la probabilidad de fallo mediante las simulaciones SPICE en comparación con otras propuestas existentes. A continuación, se proporciona un método novedoso para crear modelos sustitutos de los márgenes de memoria con una mejor capacidad de extrapolación que los métodos tradicionales de regresión. Estos modelos, basados en el proceso de regresión Gaussiano, codifican la sensibilidad de los márgenes de memoria con respecto a cada fuente de variación de umbral individual en un núcleo de una sola dimensión. Los modelos propuestos, basados en kernel aditivos, tienen un error 32% menor que el error out-of-sample (es decir, mejor capacidad de extrapolación fuera del conjunto de entrenamiento) en comparacion con el núcleo universal de seis dimensiones como la función de base radial (RBF). La tesis también explora las modificaciones topológicas a la celda binaria SRAM para alcanzar velocidades de lectura mas rapidas dentro en el contexto de operaciones en el umbral de tensiones de funcionamiento. Presentamos una celda binaria SRAM de diez transistores que consigue aumentar en 2 veces la operación de lectura en comparacion con las celdas sub-umbral de SRAM de diez transistores existentes, garantizando al mismo tiempo los márgenes de ruido similares. La celda binaria SRAM proporciona una reducción del 70% en energía dinámica a costa del aumento del 42% en la energía de fuga por las operaciones de lectura. Por último, se investiga la eficiencia energética de las células de ganancia eDRAM como una alternativa a los bitcells SRAM en los dispositivos de tamaño limitado IOT. Encontramos que la reducción de la corriente de fuga en el path de escritura es la única manera de reducir la energía de lectura en el Punto Mínimo de Energía (MEP). Además, se estudia el efecto del transistor de dimensionamiento en virtud de la presencia de variaciones de voltaje de umbral en la media de energia de lecture MEP mediante el análisis estadístico basado en la prueba de ANOVA del diseño experimental factorial completo.Postprint (published version

Static noise margin analysis for CMOS logic cells in near-threshold

The advancement of semiconductor technology enabled the fabrication of devices with faster switching activity and chips with higher integration density. However, these advances are facing new impediments related to energy and power dissipation. Besides, the increasing demand for portable devices leads the circuit design paradigm to prioritize energy efficiency instead of performance. Altogether, this scenario motivates engineers towards reducing the supply voltage to the near and subthreshold regime to increase the lifespan of battery-powered devices. Even though operating in these regime offer interesting energy-frequency trade-offs, it brings challenges concerning noise tolerance. As the supply voltage reduces, the available noise margins decrease, and circuits become more prone to functional failures. In addition, near and subthreshold circuits are more susceptible to manufacturing variability, hence further aggravating noise issues. Other issues, such as wire minimization and gate fan-out, also contribute to the relevance of evaluating the noise margin of circuits early in the design Accordingly, this work investigates how to improve the static noise margin of digital synchronous circuits that will operate at the near/subthreshold regime. This investigation produces a set of three original contributions. The first is an automated tool to estimate the static noise margin of CMOS combinational cells. The second contribution is a realistic static noise margin estimation methodology that considers process-voltage-temperature variations. Results show that the proposed methodology allows to reduce up to 70% of the static noise margin pessimism. Finally, the third contribution is the noise-aware cell design methodology and the inclusion of a noise evaluation of complex circuits during the logic synthesis. The resulting library achieved higher static noise margin (up to 24%) and less spread among different cells (up to 62%).Os avanços na tecnologia de semicondutores possibilitou que se fabricasse dispositivos com atividade de chaveamento mais rápida e com maior capacidade de integração de transistores. Estes avanços, todavia, impuseram novos empecilhos relacionados com a dissipação de potência e energia. Além disso, a crescente demanda por dispositivos portáteis levaram à uma mudança no paradigma de projeto de circuitos para que se priorize energia ao invés de desempenho. Este cenário motivou à reduzir a tensão de alimentação com qual os dispositivos operam para um regime próximo ou abaixo da tensão de limiar, com o objetivo de aumentar sua duração de bateria. Apesar desta abordagem balancear características de performance e energia, ela traz novos desafios com relação a tolerância à ruído. Ao reduzirmos a tensão de alimentação, também reduz-se a margem de ruído disponível e, assim, os circuitos tornam-se mais suscetíveis à falhas funcionais. Somado à este efeito, circuitos com tensões de alimentação nestes regimes são mais sensíveis à variações do processo de fabricação, logo agravando problemas com ruído. Existem também outros aspectos, tais como a miniaturização das interconexões e a relação de fan-out de uma célula digital, que incentivam a avaliação de ruído nas fases iniciais do projeto de circuitos integrados Por estes motivos, este trabalho investiga como aprimorar a margem de ruído estática de circuitos síncronos digitais que irão operar em tensões no regime de tensão próximo ou abaixo do limiar. Esta investigação produz um conjunto de três contribuições originais. A primeira é uma ferramenta capaz de avaliar automaticamente a margem de ruído estática de células CMOS combinacionais. A segunda contribuição é uma metodologia realista para estimar a margem de ruído estática considerando variações de processo, tensão e temperatura. Os resultados obtidos mostram que a metodologia proposta permitiu reduzir até 70% do pessimismo das margens de ruído estática, Por último, a terceira contribuição é um fluxo de projeto de células combinacionais digitais considerando ruído, e uma abordagem para avaliar a margem de ruído estática de circuitos complexos durante a etapa de síntese lógica. A biblioteca de células resultante deste fluxo obteve maior margem de ruído (até 24%) e menor variação entre diferentes células (até 62%)