A formal approach to nonlinear analog circuit verification
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VTS '95 Proceedings of the 13th IEEE VLSI Test Symposium
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Proceedings of the 2009 International Conference on Computer-Aided Design
Advanced methods for equivalence checking of analog circuits with strong nonlinearities
Formal Methods in System Design
Formal verification of phase-locked loops using reachability analysis and continuization
Proceedings of the International Conference on Computer-Aided Design
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ACM Transactions on Design Automation of Electronic Systems (TODAES) - Special section on adaptive power management for energy and temperature-aware computing systems
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Proceedings of the International Conference on Computer-Aided Design
Formal verification of phase-locked loops using reachability analysis and continuization
Communications of the ACM
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This paper presents a systematic, hierarchical, optimization based semi-formal equivalence checking methodology for large analog/mixed signal systems such as PLLs, ADCs and I/O's. We verify the equivalence between a behavioral model and its electrical implementation over a limited, but highly likely, input space defined as the Constrained Behavioral Input Space. Further, we clearly distinguish between the behavioral and electrical domains and define mappings between the two domains to allow for calculation of deviation between the behavioral and electrical implementation. The verification problem is then formulated as an optimization problem which is solved by interfacing a SQP based optimizer with commercial circuit simulation tools. The proposed methodology is then applied for equivalence checking of a PLL as a test case.