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  4. Non-linear operating point statistical analysis for local variations in logic timing at low voltage

Non-linear operating point statistical analysis for local variations in logic timing at low voltage

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Author(s)
Rithe, Rahulkumar Jagdish
•
Gu, Jie
•
Wang, Alice
•
Datla, Satyendra
•
Gammie, Gordon
•
Buss, Dennis
•
Chandrakasan, Anantha P.
Date Issued
April 2010
Journal
Proceedings of the Design, Automation & Test in Europe Conference & Exhibition, 2010
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Rahul Rithe eta l. "Non-linear operating point statistical analysis for local variations in logic timing at low voltage." Design, Automation & Test in Europe Conference & Exhibition, 965 - 968, 2010. © 2010 EDAA
Version
Final published version
Abstract
For CMOS feature size of 65 nm and below, local (or intra-die or within-die) variations in transistor Vt contribute stochastic variation in logic delay that is a large percentage of the nominal delay. Moreover, when circuits are operated at low voltage (Vdd ¿ 0.5 V), the standard deviation of gate delay becomes comparable to nominal delay, and the Probability Density Function (PDF) of the gate delay is highly non-Gaussian. This paper presents a computationally efficient algorithm for computing the PDF of logic Timing Path (TP) delay, which results from local variations. This approach is called Non-linear Operating Point Analysis for Local Variations (NLOPALV). The approach is implemented using commercial STA tools and integrated into the standard CAD flow using custom scripts. Timing paths from a 28 nm commercial DSP are analyzed using the proposed technique and the performance is observed to be within 5% accuracy compared to SPICE based Monte-Carlo analysis.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
http://hdl.handle.net/1721.1/74144
DOI of Published Version
http://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=&arnumber=5456911&contentType=Conference+Publications&searchField%3DSearch_All%26queryText%3DNon-linear+Operating+Point+Statistical+Analysis+for+Local+Variations+in+Logic+Timing+at+Low+Voltage
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