The bounding approach to VLSI circuit simulation
The bounding approach to VLSI circuit simulation
Bounding the solution of interval linear equations
SIAM Journal on Numerical Analysis
Rapid frequency-domain analog fault simulation under parameter tolerances
DAC '97 Proceedings of the 34th annual Design Automation Conference
Computer Methods for Circuit Analysis and Design
Computer Methods for Circuit Analysis and Design
Statistical Modeling for Computer-Aided Design of MOS VLSI Circuits
Statistical Modeling for Computer-Aided Design of MOS VLSI Circuits
VLSI Design for Manufacturing: Yield Enhancement
VLSI Design for Manufacturing: Yield Enhancement
LIMSoft: Automated Tool for Design and Test Integration of Analog Circuits
Proceedings of the IEEE International Test Conference on Test and Design Validity
Rapid frequency-domain analog fault simulation under parameter tolerances
DAC '97 Proceedings of the 34th annual Design Automation Conference
Journal of Electronic Testing: Theory and Applications
Parametric reduced order modeling for interconnect analysis
Proceedings of the 2004 Asia and South Pacific Design Automation Conference
Performance bound analysis of analog circuits considering process variations
Proceedings of the 48th Design Automation Conference
ACM Transactions on Design Automation of Electronic Systems (TODAES)
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An interval-mathematic approach is presented for frequency-domain simulation and sensitivity analysis of linear analog circuits under parameter variations. With uncertain parameters represented as intervals, bounding frequency-domain responses is formulated as the problem of solving systems of linear interval equations. The formulation is based on a variant of modified nodal analysis, and is particularly amenable to interval analysis. Some characterization of the solution sets of systems of linear interval equations are derived. With these characterizations, an elegant and efficient algorithm is proposed to solve systems of linear interval equations. While the widely used Monte Carlo approach requires many circuit simulations to achieve even moderate accuracy, the computational cost of the proposed approach is about twice that of one circuit simulation. The computed response bounds contain provably, or are usually very close to, the actual response bounds. Further, sensitivity under parameter variations can be computed from the response bounds at minor computational cost. The algorithms are implemented in SPICE3F5, using sparse-matrix techniques and tested on several practical analog circuits.