Statistical Characterization and Decomposition of SRAM cell Variability and Aging

abstract: Memories play an integral role in today's advanced ICs. Technology scaling has enabled high density designs at the price paid for impact due to variability and reliability. It is imperative to have accurate methods to measure and extract the variability in the SRAM cell to produce accurate reliability projections for future technologies. This work presents a novel test measurement and extraction technique which is non-invasive to the actual operation of the SRAM memory array. The salient features of this work include i) A single ended SRAM test structure with no disturbance to SRAM operations ii) a convenient test procedure that only requires quasi-static control of external voltages iii) non-iterative method that extracts the VTH variation of each transistor from eight independent switch point measurements. With the present day technology scaling, in addition to the variability with the process, there is also the impact of other aging mechanisms which become dominant. The various aging mechanisms like Negative Bias Temperature Instability (NBTI), Channel Hot Carrier (CHC) and Time Dependent Dielectric Breakdown (TDDB) are critical in the present day nano-scale technology nodes. In this work, we focus on the impact of NBTI due to aging in the SRAM cell and have used Trapping/De-Trapping theory based log(t) model to explain the shift in threshold voltage VTH. The aging section focuses on the following i) Impact of Statistical aging in PMOS device due to NBTI dominates the temporal shift of SRAM cell ii) Besides static variations , shifting in VTH demands increased guard-banding margins in design stage iii) Aging statistics remain constant during the shift, presenting a secondary effect in aging prediction. iv) We have investigated to see if the aging mechanism can be used as a compensation technique to reduce mismatch due to process variations. Finally, the entire test setup has been tested in SPICE and also validated with silicon and the results are presented. The method also facilitates the study of design metrics such as static, read and write noise margins and also the data retention voltage and thus help designers to improve the cell stability of SRAM.Dissertation/ThesisM.S. Electrical Engineering 201

Cmos Rf Cituits Sic] Variability And Reliability Resilient Design, Modeling, And Simulation

The work presents a novel voltage biasing design that helps the CMOS RF circuits resilient to variability and reliability. The biasing scheme provides resilience through the threshold voltage (VT) adjustment, and at the mean time it does not degrade the PA performance. Analytical equations are established for sensitivity of the resilient biasing under various scenarios. Power Amplifier (PA) and Low Noise Amplifier (LNA) are investigated case by case through modeling and experiment. PTM 65nm technology is adopted in modeling the transistors within these RF blocks. A traditional class-AB PA with resilient design is compared the same PA without such design in PTM 65nm technology. Analytical equations are established for sensitivity of the resilient biasing under various scenarios. A traditional class-AB PA with resilient design is compared the same PA without such design in PTM 65nm technology. The results show that the biasing design helps improve the robustness of the PA in terms of linear gain, P1dB, Psat, and power added efficiency (PAE). Except for post-fabrication calibration capability, the design reduces the majority performance sensitivity of PA by 50% when subjected to threshold voltage (VT) shift and 25% to electron mobility (μn) degradation. The impact of degradation mismatches is also investigated. It is observed that the accelerated aging of MOS transistor in the biasing circuit will further reduce the sensitivity of PA. In the study of LNA, a 24 GHz narrow band cascade LNA with adaptive biasing scheme under various aging rate is compared to LNA without such biasing scheme. The modeling and simulation results show that the adaptive substrate biasing reduces the sensitivity of noise figure and minimum noise figure subject to process variation and iii device aging such as threshold voltage shift and electron mobility degradation. Simulation of different aging rate also shows that the sensitivity of LNA is further reduced with the accelerated aging of the biasing circuit. Thus, for majority RF transceiver circuits, the adaptive body biasing scheme provides overall performance resilience to the device reliability induced degradation. Also the tuning ability designed in RF PA and LNA provides the circuit post-process calibration capability

Impact of atomistic device variability on analogue circuit design

Scaling of complementary metal-oxide-semiconductor (CMOS) technology has benefited the semiconductor industry for almost half a century. For CMOS devices with a physical gate-length in the sub-100 nm range, extreme device variability is introduced and has become a major stumbling block for next generation analogue circuit design. Both opportunities and challenges have therefore confronted analogue circuit designers. Small geometry device can enable high-speed analogue circuit designs, such as data conversion interfaces that can work in the radio frequency range. These designs can be co-integrated with digital systems to achieve low cost, high-performance, single-chip solutions that could only be achieved using multi-chip solutions in the past. However, analogue circuit designs are extremely vulnerable to device mismatch, since a large number of symmetric transistor pairs and circuit cells are required. The increase in device variability from sub-100 nm processes has therefore significantly reduced the production yield of the conventional designs. Mismatch models have been developed to analytically evaluate the magnitude of random variations. Based on measurements from custom designed test structures, the statistics of process variation can be estimated using design related parameters. However, existing models can no longer accurately estimate the magnitude of mismatch for sub-100 nm “atomistic” devices, since short-channel effects have become important. In this thesis, a new mismatch model for small geometry devices will be proposed to address this problem. Based on knowledge of the matching performance obtained from the mismatch model, design solutions are desired at different design levels for a variety of circuit topologies. In this thesis, transistor level compensation solutions have been investigated and closed-loop compensation circuits have been proposed. At circuit level, a latch-based comparator has been used to develop a compensation solution because this type of comparator is extremely sensitive to the device mismatch. These comparators are also used as the fundamental building block for the analogue-to-digital converters (ADC). The proposed comparator compensation scheme is used to improve the performance of a high-speed flash ADC

STUDY OF SINGLE-EVENT EFFECTS ON DIGITAL SYSTEMS

Microelectronic devices and systems have been extensively utilized in a variety of radiation environments, ranging from the low-earth orbit to the ground level. A high-energy particle from such an environment may cause voltage/current transients, thereby inducing Single Event Effect (SEE) errors in an Integrated Circuit (IC). Ever since the first SEE error was reported in 1975, this community has made tremendous progress in investigating the mechanisms of SEE and exploring radiation tolerant techniques. However, as the IC technology advances, the existing hardening techniques have been rendered less effective because of the reduced spacing and charge sharing between devices. The Semiconductor Industry Association (SIA) roadmap has identified radiation-induced soft errors as the major threat to the reliable operation of electronic systems in the future. In digital systems, hardening techniques of their core components, such as latches, logic, and clock network, need to be addressed. Two single event tolerant latch designs taking advantage of feedback transistors are presented and evaluated in both single event resilience and overhead. These feedback transistors are turned OFF in the hold mode, thereby yielding a very large resistance. This, in turn, results in a larger feedback delay and higher single event tolerance. On the other hand, these extra transistors are turned ON when the cell is in the write mode. As a result, no significant write delay is introduced. Both designs demonstrate higher upset threshold and lower cross-section when compared to the reference cells. Dynamic logic circuits have intrinsic single event issues in each stage of the operations. The worst case occurs when the output is evaluated logic high, where the pull-up networks are turned OFF. In this case, the circuit fails to recover the output by pulling the output up to the supply rail. A capacitor added to the feedback path increases the node capacitance of the output and the feedback delay, thereby increasing the single event critical charge. Another differential structure that has two differential inputs and outputs eliminates single event upset issues at the expense of an increased number of transistors. Clock networks in advanced technology nodes may cause significant errors in an IC as the devices are more sensitive to single event strikes. Clock mesh is a widely used clocking scheme in a digital system. It was fabricated in a 28nm technology and evaluated through the use of heavy ions and laser irradiation experiments. Superior resistance to radiation strikes was demonstrated during these tests. In addition to mitigating single event issues by using hardened designs, built-in current sensors can be used to detect single event induced currents in the n-well and, if implemented, subsequently execute fault correction actions. These sensors were simulated and fabricated in a 28nm CMOS process. Simulation, as well as, experimental results, substantiates the validity of this sensor design. This manifests itself as an alternative to existing hardening techniques. In conclusion, this work investigates single event effects in digital systems, especially those in deep-submicron or advanced technology nodes. New hardened latch, dynamic logic, clock, and current sensor designs have been presented and evaluated. Through the use of these designs, the single event tolerance of a digital system can be achieved at the expense of varying overhead in terms of area, power, and delay

Statistical modelling of nano CMOS transistors with surface potential compact model PSP

The development of a statistical compact model strategy for nano-scale CMOS transistors is presented in this thesis. Statistical variability which arises from the discreteness of charge and granularity of matter plays an important role in scaling of nano CMOS transistors especially in sub 50nm technology nodes. In order to achieve reasonable performance and yield in contemporary CMOS designs, the statistical variability that affects the circuit/system performance and yield must be accurately represented by the industry standard compact models. As a starting point, predictive 3D simulation of an ensemble of 1000 microscopically different 35nm gate length transistors is carried out to characterize the impact of statistical variability on the device characteristics. PSP, an advanced surface potential compact model that is selected as the next generation industry standard compact model, is targeted in this study. There are two challenges in development of a statistical compact model strategy. The first challenge is related to the selection of a small subset of statistical compact model parameters from the large number of compact model parameters. We propose a strategy to select 7 parameters from PSP to capture the impact of statistical variability on current-voltage characteristics. These 7 parameters are used in statistical parameter extraction with an average RMS error of less than 2.5% crossing the whole operation region of the simulated transistors. Moreover, the accuracy of statistical compact model extraction strategy in reproducing the MOSFET electrical figures of merit is studied in detail. The results of the statistical compact model extraction are used for statistical circuit simulation of a CMOS inverter under different input-output conditions and different number of statistical parameters. The second challenge in the development of statistical compact model strategy is associated with statistical generation of parameters preserving the distribution and correlation of the directly extracted parameters. By using advanced statistical methods such as principal component analysis and nonlinear power method, the accuracy of parameter generation is evaluated and compared to directly extracted parameter sets. Finally, an extension of the PSP statistical compact model strategy to different channel width/length devices is presented. The statistical trends of parameters and figures of merit versus channel width/length are characterized

A Process Variation Tolerant Self-Compensation Sense Amplifier Design

As we move under the aegis of the Moore\u27s law, we have to deal with its darker side with problems like leakage and short channel effects. Once we go beyond 45nm regime process variations also have emerged as a significant design concern.Embedded memories uses sense amplifier for fast sensing and typically, sense amplifiers uses pair of matched transistors in a positive feedback environment. A small difference in voltage level of applied input signals to these matched transistors is amplified and the resulting logic signals are latched. Intra die variation causes mismatch between the sense transistors that should ideally be identical structures. Yield loss due to device and process variations has never been so critical to cause failure in circuits. Due to growth in size of embedded SRAMs as well as usage of sense amplifier based signaling techniques, process variations in sense amplifiers leads to significant loss of yield for that we need to come up with process variation tolerant circuit styles and new devices. In this work impact of transistor mismatch due to process variations on sense amplifier is evaluated and this problem is stated. For the solution of the problem a novel self compensation scheme on sense amplifiers is presented on different technology nodes up to 32nm on conventional bulk MOSFET technology. Our results show that the self compensation technique in the conventional bulk MOSFET latch type sense amplifier not just gives improvement in the yield but also leads to improvement in performance for latch type sense amplifiers. Lithography related CD variations, fluctuations in dopant density, oxide thickness and parametric variations of devices are identified as a major challenge to the classical bulk type MOSFET. With the emerging nanoscale devices, SIA roadmap identifies FinFETs as a candidate for post-planar end-of-roadmap CMOS device. With current technology scaling issues and with conventional bulk type MOSFET on 32nm node our technique can easily be applied to Double Gate devices. In this work, we also develop the model of Double Gate MOSFET through 3D Device Simulator Damocles and TCAD simulator. We propose a FinFET based process variation tolerant sense amplifier design that exploits the back gate of FinFET devices for dynamic compensation against process variations. Results from statistical simulation show that the proposed dynamic compensation is highly effective in restoring yield at a level comparable to that of sense amplifiers without process variations. We created the 32nm double gate models generated from Damocles 3-D device simulations [25] and Taurus Device Simulator available commercially from Synopsys [47] and use them in the nominal latch type sense amplifier design and on the Independent Gate Self Compensation Sense Amplifier Design (IGSSA) to compare the yield and performance benefits of sense amplifier design on FinFET technology over the conventional bulk type CMOS based sense amplifier on 32nm technology node effective in restoring yield at a level comparable to that of sense amplifiers without process variations. We created the 32nm double gate models generated from Damocles 3-D device simulations [25] and Taurus Device Simulator available commercially from Synopsys [47] and use them in the nominal latch type sense amplifier design and on the Independent Gate Self Compensation Sense Amplifier Design (IGSSA) to compare the yield and performance benefits of sense amplifier design on FinFET technology over the conventional bulk type CMOS based sense amplifier on 32nm technology node

INVESTIGATING THE EFFECTS OF SINGLE-EVENT UPSETS IN STATIC AND DYNAMIC REGISTERS

Radiation-induced single-event upsets (SEUs) pose a serious threat to the reliability of registers. The existing SEU analyses for static CMOS registers focus on the circuit-level impact and may underestimate the pertinent SEU information provided through node analysis. This thesis proposes SEU node analysis to evaluate the sensitivity of static registers and apply the obtained node information to improve the robustness of the register through selective node hardening (SNH) technique. Unlike previous hardening techniques such as the Triple Modular Redundancy (TMR) and the Dual Interlocked Cell (DICE) latch, the SNH method does not introduce larger area overhead. Moreover, this thesis also explores the impact of SEUs in dynamic flip-flops, which are appealing for the design of high-performance microprocessors. Previous work either uses the approaches for static flip-flops to evaluate SEU effects in dynamic flip-flops or overlook the SEU injected during the precharge phase. In this thesis, possible SEU sensitive nodes in dynamic flip-flops are re-examined and their window of vulnerability (WOV) is extended. Simulation results for SEU analysis in non-hardened dynamic flip-flops reveal that the last 55.3 % of the precharge time and a 100% evaluation time are affected by SEUs

Simulation of charge-trapping in nano-scale MOSFETs in the presence of random-dopants-induced variability

The growing variability of electrical characteristics is a major issue associated with continuous downscaling of contemporary bulk MOSFETs. In addition, the operating conditions brought about by these same scaling trends have pushed MOSFET degradation mechanisms such as Bias Temperature Instability (BTI) to the forefront as a critical reliability threat. This thesis investigates the impact of this ageing phenomena, in conjunction with device variability, on key MOSFET electrical parameters. A three-dimensional drift-diffusion approximation is adopted as the simulation approach in this work, with random dopant fluctuations—the dominant source of statistical variability—included in the simulations. The testbed device is a realistic 35 nm physical gate length n-channel conventional bulk MOSFET. 1000 microscopically different implementations of the transistor are simulated and subjected to charge-trapping at the oxide interface. The statistical simulations reveal relatively rare but very large threshold voltage shifts, with magnitudes over 3 times than that predicted by the conventional theoretical approach. The physical origin of this effect is investigated in terms of the electrostatic influences of the random dopants and trapped charges on the channel electron concentration. Simulations with progressively increased trapped charge densities—emulating the characteristic condition of BTI degradation—result in further variability of the threshold voltage distribution. Weak correlations of the order of 10-2 are found between the pre-degradation threshold voltage and post-degradation threshold voltage shift distributions. The importance of accounting for random dopant fluctuations in the simulations is emphasised in order to obtain qualitative agreement between simulation results and published experimental measurements. Finally, the information gained from these device-level physical simulations is integrated into statistical compact models, making the information available to circuit designers

Architectural level delay and leakage power modelling of manufacturing process variation

PhD ThesisThe effect of manufacturing process variations has become a major issue regarding the estimation of circuit delay and power dissipation, and will gain more importance in the future as device scaling continues in order to satisfy market place demands for circuits with greater performance and functionality per unit area. Statistical modelling and analysis approaches have been widely used to reflect the effects of a variety of variational process parameters on system performance factor which will be described as probability density functions (PDFs). At present most of the investigations into statistical models has been limited to small circuits such as a logic gate. However, the massive size of present day electronic systems precludes the use of design techniques which consider a system to comprise these basic gates, as this level of design is very inefficient and error prone. This thesis proposes a methodology to bring the effects of process variation from transistor level up to architectural level in terms of circuit delay and leakage power dissipation. Using a first order canonical model and statistical analysis approach, a statistical cell library has been built which comprises not only the basic gate cell models, but also more complex functional blocks such as registers, FIFOs, counters, ALUs etc. Furthermore, other sensitive factors to the overall system performance, such as input signal slope, output load capacitance, different signal switching cases and transition types are also taken into account for each cell in the library, which makes it adaptive to an incremental circuit design. The proposed methodology enables an efficient analysis of process variation effects on system performance with significantly reduced computation time compared to the Monte Carlo simulation approach. As a demonstration vehicle for this technique, the delay and leakage power distributions of a 2-stage asynchronous micropipeline circuit has been simulated using this cell library. The experimental results show that the proposed method can predict the delay and leakage power distribution with less than 5% error and at least 50,000 times faster computation time compare to 5000-sample SPICE based Monte Carlo simulation. The methodology presented here for modelling process variability plays a significant role in Design for Manufacturability (DFM) by quantifying the direct impact of process variations on system performance. The advantages of being able to undertake this analysis at a high level of abstraction and thus early in the design cycle are two fold. First, if the predicted effects of process variation render the circuit performance to be outwith specification, design modifications can be readily incorporated to rectify the situation. Second, knowing what the acceptable limits of process variation are to maintain design performance within its specification, informed choices can be made regarding the implementation technology and manufacturer selected to fabricate the design

A power-scalable variable-length analogue DFT processor for multi-standard wireless transceivers

In the Orthogonal Frequency-Division Multiplexing (OFDM) based transceivers, digital computation of the Discrete Fourier Transform (DFT) is a power hungry process. Reduction in the hardware cost and power consumption is possible by implementing the DFT processor with analogue circuits. This thesis presents the real-time recursive DFT processor. Previously, changing the transform length and scaling the power could only be performed by digital Fast Fourier Transform (FFT) processors. By using the real-time recursive DFT processor, the decimation filter is eliminated. Thus, further reduction in the hardware cost and power consumption of the multi-standard transceiver is achieved. The real-time recursive DFT processor was designed in 180 nm CMOS technology. Results of device mismatch analysis indicate that the 8-point recursive DFT processor has a yield of 97.5% for the BPSK modulated signal. For the QPSK modulated signal, however, yield of the 8-point recursive DFT processor is 8.9%. Moreover, doubling the transform length reduces the average dynamic range by 3dB. Accordingly, the 16-point recursive DFT processor has a yield of 43.4% for the BPSK modulated signal. Power consumption of the recursive DFT processor is about 1/6 of the power consumption of a previous analogue FFT processor