Article

Block based statistical timing analysis with extended canonical timing model

Authors:

Lizheng Zhang,

Yuhen Hu,

Charlie Chung-Ping ChenAuthors Info & Claims

ASP-DAC '05: Proceedings of the 2005 Asia and South Pacific Design Automation Conference

Pages 250 - 253

https://doi.org/10.1145/1120725.1120816

Published: 18 January 2005 Publication History

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Abstract

Block based statistical timing analysis (STA) tools often yield less accurate results when timing variables become correlated due to global source of variations and path reconvergence. To the best of our knowledge, no good solution is available handling both types of correlations simultaneously.In this paper, we present a novel statistical timing algorithm, AMECT (Asymptotic MAX/MIN approximation & Extended Canonical Timing model), that produces accurate timing estimation by handling both types of correlations simultaneously. An extended canonical timing model is developed to evaluate and decompose correlations between arbitrary timing variables. And an intelligent pruning method is designed enabling trade-off runtime with accuracy.Tested with ISCAS benchmark suites, AMECT shows both high accuracy and high performance compared with Monte Carlo simulation results: with distribution estimation error < 1.5% while with around 350X speed up on a circuit with 5355 gates.

References

[1]

J.-J. Liou, A. Krstic, L.-C. Wang, and K.-T. Cheng, "False-path-aware statistical timing analysis and efficient path selection for delay testing and timing validation," Design Automation Conference, 2002. Proceedings. 39th, pp. 566 -- 569, June 2002.

Digital Library

Google Scholar

[2]

M. Orshansky, "Fast computation of circuit delay probability distribution for timing graphs with arbitary node correlation," TAU'04, Feb 2004.

Google Scholar

[3]

M. Orshansky and K. Keutzer, "A general probabilistic framework for worst case timing analysis," Design Automation Conference, 2002. Proceedings. 39th, pp. 556 -- 561, June 2002.

Digital Library

Google Scholar

[4]

A. Agarwal, D. Blaauw, V. Zolotov, S. Sundareswaran, M. Zhao, K. Gala, and R. Panda, "Statistical delay computation considering spatial correlations," Design Automation Conference, 2003. Proceedings of the ASP-DAC 2003. Asia and South Pacific, pp. 271 -- 276, Jan 2003.

Digital Library

Google Scholar

[5]

A. Agarwal, V. Zolotov, and D. Blaauw, "Statistical timing analysis using bounds and selective enumeration," IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, vol. 22, no. 9, pp. 1243 -- 1260, Sept 2003.

Digital Library

Google Scholar

[6]

C. Visweswariah, K. Ravindran, and K. Kalafala, "First-order parameterized block-based statistical timing analysis," TAU'04, Feb 2004.

Google Scholar

[7]

A. Agarwal, D. Blaauw, and V. Zolotov, "Statistical timing analysis for intra-die process variations with spatial correlations," Computer Aided Design, 2003 International Conference on. ICCAD-2003, pp. 900--907, Nov 2003.

Digital Library

Google Scholar

[8]

S. Bhardwaj, S. B. Vrudhula, and D. Blaauw, "τau: Timing analysis under uncertainty," ICCAD'03, pp. 615--620, Nov 2003.

Digital Library

Google Scholar

[9]

A. Devgan and C. Kashyap, "Block-based static timing analysis with uncertainty," ICCAD'03, pp. 607--614, Nov 2003.

Digital Library

Google Scholar

[10]

H. Chang and S. S. Sapatnekar, "Statistical timing analysis considering spatial correlations using a single pert-like traversal," ICCAD'03, pp. 621--625, Nov 2003.

Digital Library

Google Scholar

[11]

S. Tsukiyama, M. Tanaka, and M. Fukui, "A statistical static timing analysis considering correlations between delays," Proceedings of the 2001 conference on Asia South Pacific design automation, Jan 2001.

Digital Library

Google Scholar

[12]

C. Clark, "The greatest of a finite set of random variables," Operations Research, pp. 145--162, March 1961.

Digital Library

Google Scholar

Cited By

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Tu KTang XYu CJosipović LChu ZTu KTang XYu CJosipović LChu Z(2024)Performance (Timing) AnalysisFPGA EDA10.1007/978-981-99-7755-0_5(73-78)Online publication date: 1-Feb-2024
https://doi.org/10.1007/978-981-99-7755-0_5
Zolotov VSinha DHemmett JForeman EVisweswariah CXiong JLeitzen JVenkateswaran NGroeneveld PSciuto DHassoun S(2012)Timing analysis with nonseparable statistical and deterministic variationsProceedings of the 49th Annual Design Automation Conference10.1145/2228360.2228553(1061-1066)Online publication date: 3-Jun-2012
https://dl.acm.org/doi/10.1145/2228360.2228553
Knoth CSchlichtmann ULi BZhang MOlbrich MAcar EEichler UHaase JLange APronath M(2011)Methods of Parameter VariationsProcess Variations and Probabilistic Integrated Circuit Design10.1007/978-1-4419-6621-6_4(91-179)Online publication date: 8-Oct-2011
https://doi.org/10.1007/978-1-4419-6621-6_4
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Published In

ASP-DAC '05: Proceedings of the 2005 Asia and South Pacific Design Automation Conference

January 2005

1495 pages

ISBN:0780387376

DOI:10.1145/1120725

General Chair:
Ting-Ao Tang
Fudan University, Shanghai, P. R. China

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 ACM 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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Association for Computing Machinery

New York, NY, United States

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Published: 18 January 2005

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SIGDA

ASPDAC05: Asia and South Pacific Design Automation Conference

January 18 - 21, 2005

Shanghai, China

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Overall Acceptance Rate 466 of 1,454 submissions, 32%

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Tu KTang XYu CJosipović LChu ZTu KTang XYu CJosipović LChu Z(2024)Performance (Timing) AnalysisFPGA EDA10.1007/978-981-99-7755-0_5(73-78)Online publication date: 1-Feb-2024
https://doi.org/10.1007/978-981-99-7755-0_5
Zolotov VSinha DHemmett JForeman EVisweswariah CXiong JLeitzen JVenkateswaran NGroeneveld PSciuto DHassoun S(2012)Timing analysis with nonseparable statistical and deterministic variationsProceedings of the 49th Annual Design Automation Conference10.1145/2228360.2228553(1061-1066)Online publication date: 3-Jun-2012
https://dl.acm.org/doi/10.1145/2228360.2228553
Knoth CSchlichtmann ULi BZhang MOlbrich MAcar EEichler UHaase JLange APronath M(2011)Methods of Parameter VariationsProcess Variations and Probabilistic Integrated Circuit Design10.1007/978-1-4419-6621-6_4(91-179)Online publication date: 8-Oct-2011
https://doi.org/10.1007/978-1-4419-6621-6_4
ENAMI TNINOMIYA SSHINKAI KABE SHASHIMOTO M(2010)Statistical Timing Analysis Considering Clock Jitter and Skew due to Power Supply Noise and Process VariationIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences10.1587/transfun.E93.A.2399E93-A:12(2399-2408)Online publication date: 2010
https://doi.org/10.1587/transfun.E93.A.2399
Gulati KKhatri SGulati KKhatri S(2010)Accelerating statistical static Timing Analysis Using Graphics ProcessorsHardware Acceleration of EDA Algorithms10.1007/978-1-4419-0944-2_7(105-118)Online publication date: 18-Jan-2010
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Chung JAbraham JRoychowdhury J(2009)A hierarchy of subgraphs underlying a timing graph and its use in capturing topological correlation in SSTAProceedings of the 2009 International Conference on Computer-Aided Design10.1145/1687399.1687461(321-327)Online publication date: 2-Nov-2009
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Chen RZhang LZolotov VVisweswariah CXiong JKyung CChoi KHa S(2008)Static timingProceedings of the 2008 Asia and South Pacific Design Automation Conference10.5555/1356802.1356882(310-315)Online publication date: 21-Jan-2008
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Xiong JZolotov VVisweswariah CSciuto D(2008)Incremental criticality and yield gradientsProceedings of the conference on Design, automation and test in Europe10.1145/1403375.1403652(1130-1135)Online publication date: 10-Mar-2008
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Goyal RParameswaran HShrivastava S(2008)Computation of Waveform Sensitivity Using Geometric Transforms for SSTA9th International Symposium on Quality Electronic Design (isqed 2008)10.1109/ISQED.2008.4479760(373-378)Online publication date: Mar-2008
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Ruiming Chen Lizheng Zhang Zolotov VChandu Visweswariah Jinjun Xiong (2008)Static timing: Back to our roots2008 Asia and South Pacific Design Automation Conference10.1109/ASPDAC.2008.4483965(310-315)Online publication date: Jan-2008
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Statistical static timing analysis with conditional linear MAX/MIN approximation and extended canonical timing model

Latch modeling for statistical timing analysis

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