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A Simulation Framework for Analyzing Transient Effects Due to Thermal Noise in Sub-Threshold Circuits

Published: 20 May 2015 Publication History

Abstract

Noise analysis in nonlinear logic circuits requires models that take into account time-varying biasing conditions. When considering thermal noise, which moves the circuit away from its equilibrium point, a correct modeling approach has to go beyond the additive white Gaussian noise (AWGN) used in classical noise analysis. Even when accurate models are available, running standard Monte-Carlo simulations that will expose rare soft errors may still be computationally prohibitive. Probabilistic methods are often preferred for estimating the failure rate. However, these approaches may not provide any insight about the dynamic response to noise events. In this paper, we target both problems in the sub-threshold logic application domain. We first provide a time-domain model for fundamental, technology-independent thermal noise in sub-threshold circuits. Then, we use this model to generate noise input files for SPICE transient analysis. The effectiveness of the approach is demonstrated using 7nm FinFET predictive technology models (PTM) for an inverter and a NAND gate.

References

[1]
O. E. Barndorff-Nielsen and N. Shephard. Non-Gaussian Ornstein-Uhlenbeck-based models and some of their uses in financial economics. J. R. Stat. Soc. B, 63(2):167--241, 2001.
[2]
E. Bibbona, G. Panfilo, and P. Tavella. The Ornstein-Uhlenbeck process as a model of a low pass filtered white noise. Metrologia, 45(6):S117--S126, Dec. 2008.
[3]
D. Blaauw, D. Sylvester, Y. Lee, I. Y. Lee, S. Bang, I. Lee, Y. Kim, G. Kim, and H. Ghead. From digital processors to analog building blocks: Enabling new applications through ultra-low voltage design. In SubVT 2012.
[4]
P. Bratley, B. L. Fox, and L. E. Schrage. A Guide to Simulation, volume 2. Springer, 1983.
[5]
B. Calhoun, J. Ryan, S. Khanna, M. Putic, and J. Lach. Flexible Circuits and Architectures for Ultralow Power. Proc. IEEE, 98(2):267--282, Feb. 2010.
[6]
D. T. Gillespie. Exact numerical simulation of the Ornstein-Uhlenbeck process and its integral. Phys. Rev. E, 54(2):2084--2091, 1996.
[7]
K. Itô. Stochastic Processes: Lectures Given at Aarhus University. Springer, 2004.
[8]
P. Jannaty, F. Sabou, R. Bahar, J. Mundy, W. Patterson, and A. Zaslavsky. Full two-dimensional markov chain analysis of thermal soft errors in subthreshold nanoscale cmos devices. IEEE Trans. Device Mater. Rel., 11(1):50--59, March 2011.
[9]
P. Jannaty, F. C. Sabou, S. T. Le, M. Donato, R. I. Bahar, W. Patterson, J. Mundy, and A. Zaslavsky. Shot-Noise-Induced Failure in Nanoscale Flip-Flops Part I: Numerical Framework. IEEE Trans. Electron Devices, 59(3):800--806, Mar. 2012.
[10]
P. Jannaty, F. C. Sabou, S. T. Le, M. Donato, R. I. Bahar, W. Patterson, J. Mundy, and A. Zaslavsky. Shot-Noise-Induced Failure in Nanoscale Flip-Flops Part II: Failure Rates in 10-nm Ultimate CMOS. IEEE Trans. Electron Devices, 59(3):807--812, Mar. 2012.
[11]
P. A. Lewis and G. S. Shedler. Simulation of nonhomogeneous poisson processes by thinning. Nav. Res. Logist. Q., 26(3):403--413, 1979.
[12]
H. Li, J. Mundy, W. Patterson, D. Kazazis, A. Zaslavsky, and R. I. Bahar. Thermally-induced soft errors in nanoscale CMOS circuits. In NANOARCH, pages 62--69, Oct. 2007.
[13]
A. G. Mahmutoglu and A. Demir. Modeling and Analysis of Nonstationary Low-frequency Noise in Circuit Simulators: Enabling Non Monte Carlo Techniques. In ICCAD 2014.
[14]
A. G. Mahmutoglu, A. Demir, and J. Roychowdhury. Modeling and analysis of (nonstationary) low frequency noise in nano devices: A synergistic approach based on stochastic chemical kinetics. In ICCAD 2013.
[15]
M. Matsumoto and T. Nishimura. Mersenne twister: A 623-dimensionally equidistributed uniform pseudo-random number generator. ACM Trans. Model. Comput. Simul., 8(1):3--30, Jan. 1998.
[16]
N. Paydavosi, S. Venugopalan, Y. Chauhan, J. Duarte, S. Jandhyala, A. Niknejad, and C. Hu. BSIM-SPICE Models Enable FinFET and UTB IC Designs. Access, IEEE, 1:201--215, 2013.
[17]
R. Sarpeshkar, T. Delbruck, and C. Mead. White noise in MOS transistors and resistors. IEEE Circuits Devices Mag., 9(6):23--29, 1993.
[18]
S. Sinha, G. Yeric, V. Chandra, B. Cline, and Y. Cao. Exploring sub-20nm FinFET design with Predictive Technology Models. In DAC 2012, pages 283--288.
[19]
P. L. Smith. From Poisson shot noise to the integrated Ornstein-Uhlenbeck process: Neurally principled models of information accumulation in decision-making and response time. J. Math. Psychol., 54(2):266--283, Apr. 2010.
[20]
Y. Taur and T. H. Ning. Fundamentals of Modern VLSI Devices. Cambridge University Press, Cambridge, UK, 2013.
[21]
G. Uhlenbeck and L. Ornstein. On the Theory of the Brownian Motion. Phys. Rev., 36(5):823--841, Sept. 1930.
[22]
A. Van der Ziel. Noise in Solid State Devices and Circuits. Wiley-Interscience, 1986.

Cited By

View all
  • (2018)A Sub-Threshold Noise Transient Simulator Based on Integrated Random Telegraph and Thermal Noise ModelingIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems10.1109/TCAD.2017.271770537:3(643-656)Online publication date: Mar-2018
  • (2016)Design of Error-Resilient Logic Gates with Reinforcement Using ImplicationsProceedings of the 26th edition on Great Lakes Symposium on VLSI10.1145/2902961.2902983(191-196)Online publication date: 18-May-2016
  • (2016)A fast simulator for the analysis of sub-threshold thermal noise transientsProceedings of the 53rd Annual Design Automation Conference10.1145/2897937.2897960(1-6)Online publication date: 5-Jun-2016

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  1. A Simulation Framework for Analyzing Transient Effects Due to Thermal Noise in Sub-Threshold Circuits

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    cover image ACM Conferences
    GLSVLSI '15: Proceedings of the 25th edition on Great Lakes Symposium on VLSI
    May 2015
    418 pages
    ISBN:9781450334747
    DOI:10.1145/2742060
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than the author(s) must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected].

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    Published: 20 May 2015

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    Author Tags

    1. cmos logic circuits
    2. noise analysis
    3. sub-threshold circuits
    4. thermal noise
    5. time-domain simulation

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    • (2018)A Sub-Threshold Noise Transient Simulator Based on Integrated Random Telegraph and Thermal Noise ModelingIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems10.1109/TCAD.2017.271770537:3(643-656)Online publication date: Mar-2018
    • (2016)Design of Error-Resilient Logic Gates with Reinforcement Using ImplicationsProceedings of the 26th edition on Great Lakes Symposium on VLSI10.1145/2902961.2902983(191-196)Online publication date: 18-May-2016
    • (2016)A fast simulator for the analysis of sub-threshold thermal noise transientsProceedings of the 53rd Annual Design Automation Conference10.1145/2897937.2897960(1-6)Online publication date: 5-Jun-2016

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