Yield-Aware Leakage Power Reduction of On-Chip SRAMs

Leakage power dissipation of on-chip static random access memories (SRAMs) constitutes a significant fraction of the total chip power consumption in state-of-the-art microprocessors and system-on-chips (SoCs). Scaling the supply voltage of SRAMs during idle periods is a simple yet effective technique to reduce their leakage power consumption. However, supply voltage scaling also results in the degradation of the cells’ robustness, and thus reduces their capability to retain data reliably. This is particularly resulting in the failure of an increasing number of cells that are already weakened by excessive process parameters variations and/or manufacturing imperfections in nano-meter technologies. Thus, with technology scaling, it is becoming increasingly challenging to maintain the yield while attempting to reduce the leakage power of SRAMs. This research focuses on characterizing the yield-leakage tradeoffs and developing novel techniques for a yield-aware leakage power reduction of SRAMs. We first demonstrate that new fault behaviors emerge with the introduction of a low-leakage standby mode to SRAMs. In particular, it is shown that there are some types of defects in SRAM cells that start to cause failures only when the drowsy mode is activated. These defects are not sensitized in the active operating mode, and thus escape the traditional March tests. Fault models for these newly observed fault behaviors are developed and described in this thesis. Then, a new low-complexity test algorithm, called March RAD, is proposed that is capable of detecting all the drowsy faults as well as the simple traditional faults. Extreme process parameters variations can also result in SRAM cells with very weak data-retention capability. The probability of such cells may be very rare in small memory arrays, however, in large arrays, their probability is magnified by the huge number of bit-cells integrated on a single chip. Hence, it is critical also to account for such extremal events while attempting to scale the supply voltage of SRAMs. To estimate the statistics of such rare events within a reasonable computational time, we have employed concepts from extreme value theory (EVT). This has enabled us to accurately model the tail of the cell failure probability distribution versus the supply voltage. Analytical models are then developed to characterize the yield-leakage tradeoffs in large modern SRAMs. It is shown that even a moderate scaling of the supply voltage of large SRAMs can potentially result in significant yield losses, especially in processes with highly fluctuating parameters. Thus, we have investigated the application of fault-tolerance techniques for a more efficient leakage reduction of SRAMs. These techniques allow for a more aggressive voltage scaling by providing tolerance to the failures that might occur during the sleep mode. The results show that in a 45-nm technology, assuming 10% variation in transistors threshold voltage, repairing a 64KB memory using only 8 redundant rows or incorporating single error correcting codes (ECCs) allows for ~90% leakage reduction while incurring only ~1% yield loss. The combination of redundancy and ECC, however, allows to reach the practical limits of leakage reduction in the analyzed benchmark, i.e., ~95%. Applying an identical standby voltage to all dies, regardless of their specific process parameters variations, can result in too many cell failures in some dies with heavily skewed process parameters, so that they may no longer be salvageable by the employed fault-tolerance techniques. To compensate for the inter-die variations, we have proposed to tune the standby voltage of each individual die to its corresponding minimum level, after manufacturing. A test algorithm is presented that can be used to identify the minimum applicable standby voltage to each individual memory die. A possible implementation of the proposed tuning technique is also demonstrated. Simulation results in a 45-nm predictive technology show that tuning standby voltage of SRAMs can enhance data-retention yield by an additional 10%−50%, depending on the severity of the variations

Design of Variation-Tolerant Circuits for Nanometer CMOS Technology: Circuits and Architecture Co-Design

Aggressive scaling of CMOS technology in sub-90nm nodes has created huge challenges. Variations due to fundamental physical limits, such as random dopants fluctuation (RDF) and line edge roughness (LER) are increasing significantly with technology scaling. In addition, manufacturing tolerances in process technology are not scaling at the same pace as transistor's channel length due to process control limitations (e.g., sub-wavelength lithography). Therefore, within-die process variations worsen with successive technology generations. These variations have a strong impact on the maximum clock frequency and leakage power for any digital circuit, and can also result in functional yield losses in variation-sensitive digital circuits (such as SRAM). Moreover, in nanometer technologies, digital circuits show an increased sensitivity to process variations due to low-voltage operation requirements, which are aggravated by the strong demand for lower power consumption and cost while achieving higher performance and density. It is therefore not surprising that the International Technology Roadmap for Semiconductors (ITRS) lists variability as one of the most challenging obstacles for IC design in nanometer regime. To facilitate variation-tolerant design, we study the impact of random variations on the delay variability of a logic gate and derive simple and scalable statistical models to evaluate delay variations in the presence of within-die variations. This work provides new design insight and highlights the importance of accounting for the effect of input slew on delay variations, especially at lower supply voltages. The derived models are simple, scalable, bias dependent and only require the knowledge of easily measurable parameters. This makes them useful in early design exploration, circuit/architecture optimization as well as technology prediction (especially in low-power and low-voltage operation). The derived models are verified using Monte Carlo SPICE simulations using industrial 90nm technology. Random variations in nanometer technologies are considered one of the largest design considerations. This is especially true for SRAM, due to the large variations in bitcell characteristics. Typically, SRAM bitcells have the smallest device sizes on a chip. Therefore, they show the largest sensitivity to different sources of variations. With the drastic increase in memory densities, lower supply voltages and higher variations, statistical simulation methodologies become imperative to estimate memory yield and optimize performance and power. In this research, we present a methodology for statistical simulation of SRAM read access yield, which is tightly related to SRAM performance and power consumption. The proposed flow accounts for the impact of bitcell read current variation, sense amplifier offset distribution, timing window variation and leakage variation on functional yield. The methodology overcomes the pessimism existing in conventional worst-case design techniques that are used in SRAM design. The proposed statistical yield estimation methodology allows early yield prediction in the design cycle, which can be used to trade off performance and power requirements for SRAM. The methodology is verified using measured silicon yield data from a 1Mb memory fabricated in an industrial 45nm technology. Embedded SRAM dominates modern SoCs and there is a strong demand for SRAM with lower power consumption while achieving high performance and high density. However, in the presence of large process variations, SRAMs are expected to consume larger power to ensure correct read operation and meet yield targets. We propose a new architecture that significantly reduces array switching power for SRAM. The proposed architecture combines built-in self-test (BIST) and digitally controlled delay elements to reduce the wordline pulse width for memories while ensuring correct read operation; hence, reducing switching power. A new statistical simulation flow was developed to evaluate the power savings for the proposed architecture. Monte Carlo simulations using a 1Mb SRAM macro from an industrial 45nm technology was used to examine the power reduction achieved by the system. The proposed architecture can reduce the array switching power significantly and shows large power saving - especially as the chip level memory density increases. For a 48Mb memory density, a 27% reduction in array switching power can be achieved for a read access yield target of 95%. In addition, the proposed system can provide larger power saving as process variations increase, which makes it a very attractive solution for 45nm and below technologies. In addition to its impact on bitcell read current, the increase of local variations in nanometer technologies strongly affect SRAM cell stability. In this research, we propose a novel single supply voltage read assist technique to improve SRAM static noise margin (SNM). The proposed technique allows precharging different parts of the bitlines to VDD and GND and uses charge sharing to precisely control the bitline voltage, which improves the bitcell stability. In addition to improving SNM, the proposed technique also reduces memory access time. Moreover, it only requires one supply voltage, hence, eliminates the need of large area voltage shifters. The proposed technique has been implemented in the design of a 512kb memory fabricated in 45nm technology. Results show improvements in SNM and read operation window which confirms the effectiveness and robustness of this technique