Design for Variability in DSM Technologies
ISQED '00 Proceedings of the 1st International Symposium on Quality of Electronic Design
High breakdown estimators for principal components: the projection-pursuit approach revisited
Journal of Multivariate Analysis
A robust cell-level crosstalk delay change analysis
Proceedings of the 2004 IEEE/ACM International conference on Computer-aided design
A multi-port current source model for multiple-input switching effects in CMOS library cells
Proceedings of the 43rd annual Design Automation Conference
Statistical logic cell delay analysis using a current-based model
Proceedings of the 43rd annual Design Automation Conference
Accurate waveform modeling using singular value decomposition with applications to timing analysis
Proceedings of the 44th annual Design Automation Conference
Compact modeling of variational waveforms
Proceedings of the 2007 IEEE/ACM international conference on Computer-aided design
Addressing library creation challenges from recent Liberty extensions
Proceedings of the 45th annual Design Automation Conference
Efficient compression and handling of current source model library waveforms
Proceedings of the Conference on Design, Automation and Test in Europe
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In deep sub-micron technology, accurate modeling of output waveforms of library cells under different input slew and load capacitance values is crucial for precise timing and noise analysis of VLSI circuits. Construction of a compact and efficient model of such waveforms becomes even more challenging when manufacturing process and environmental variations are considered. This paper introduces a rigorous and robust foundation to mathematically model output waveforms under sources of variability and to compress the library data. The proposed approach is suitable for today's current source model (CSM) based ASIC libraries. It employs an orthonormal transformation to represent the output waveforms as a linear combination of some appropriately-derived basis waveforms. More significantly Robust Principle Component Analysis (RPCA) is used to stratify the library waveforms into a small number of groups for which different sets of principle components are calculated. This stratification results in a very high compression ratio for the variational CSM library while meeting a maximum error tolerance. Interpolation and further compression is obtained by representing the coefficients as signomial functions of various parameters, e.g., input slew, load capacitance, supply voltage, and temperature. We propose a procedure to calculate the coefficients and power of the signomial functions. Experimental results demonstrate the effectiveness of the proposed variational CSM modeling framework and the stratification-based compression approach.