Characterization of process variability and robust optimization of analog circuits

Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2008.Includes bibliographical references (p. 161-174).Continuous scaling of CMOS technology has enabled dramatic performance enhancement of CMOS devices and has provided speed, power, and density improvement in both digital and analog circuits. CMOS millimeter-wave applications operating at more than 50GHz frequencies has become viable in sub-100nm CMOS technologies, providing advantages in cost and high density integration compared to other heterogeneous technologies such as SiGe and III-V compound semiconductors. However, as the operating frequency of CMOS circuits increases, it becomes more difficult to obtain sufficiently wide operating ranges for robust operation in essential analog building blocks such as voltage-controlled oscillators (VCOs) and frequency dividers. The fluctuations of circuit parameters caused by the random and systematic variations in key manufacturing steps become more significant in nano-scale technologies. The process variation of circuit performance is quickly becoming one of the main concerns in high performance analog design. In this thesis, we show design and analysis of a VCO and frequency divider operating beyond 70GHz in a 65nm SOI CMOS technology. The VCO and frequency divider employ design techniques enlarging frequency operating ranges to improve the robustness of circuit operation. Circuit performance is measured from a number of die samples to identify the statistical properties of performance variation. A back-propagation of variation (BPV) scheme based on sensitivity analysis of circuit performance is proposed to extract critical circuit parameter variation using statistical measurement results of the frequency divider. We analyze functional failure caused by performance variability, and propose dynamic and static optimization methods to improve parametric yield. An external bias control is utilized to dynamically tune the divider operating range and to compensate for performance variation. A novel time delay model of a differential CML buffer is proposed to functionally approximate the maximum operating frequency of the frequency divider, which dramatically reduces computational cost of parametric yield estimation. The functional approximation enables the optimization of the VCO and frequency divider parametric yield with a reasonable amount of simulation time.by Daihyun Lim.Ph.D

Characterization and mitigation of process variation in digital circuits and systems

Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2009.Cataloged from PDF version of thesis.Includes bibliographical references (p. 155-166).Process variation threatens to negate a whole generation of scaling in advanced process technologies due to performance and power spreads of greater than 30-50%. Mitigating this impact requires a thorough understanding of the variation sources, magnitudes and spatial components at the device, circuit and architectural levels. This thesis explores the impacts of variation at each of these levels and evaluates techniques to alleviate them in the context of digital circuits and systems. At the device level, we propose isolation and measurement of variation in the intrinsic threshold voltage of a MOSFET using sub-threshold leakage currents. Analysis of the measured data, from a test-chip implemented on a 0. 18[mu]m CMOS process, indicates that variation in MOSFET threshold voltage is a truly random process dependent only on device dimensions. Further decomposition of the observed variation reveals no systematic within-die variation components nor any spatial correlation. A second test-chip capable of characterizing spatial variation in digital circuits is developed and implemented in a 90nm triple-well CMOS process. Measured variation results show that the within-die component of variation is small at high voltages but is an increasing fraction of the total variation as power-supply voltage decreases. Once again, the data shows no evidence of within-die spatial correlation and only weak systematic components. Evaluation of adaptive body-biasing and voltage scaling as variation mitigation techniques proves voltage scaling is more effective in performance modification with reduced impact to idle power compared to body-biasing.(cont.) Finally, the addition of power-supply voltages in a massively parallel multicore processor is explored to reduce the energy required to cope with process variation. An analytic optimization framework is developed and analyzed; using a custom simulation methodology, total energy of a hypothetical 1K-core processor based on the RAW core is reduced by 6-16% with the addition of only a single voltage. Analysis of yield versus required energy demonstrates that a combination of disabling poor-performing cores and additional power-supply voltages results in an optimal trade-off between performance and energy.by Nigel Anthony Drego.Ph.D