Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
An infeasible interior-point algorithm for solving primal and dual geometric programs
Mathematical Programming: Series A and B - Special issue: interior point methods in theory and practice
Proceedings of the 1998 IEEE/ACM international conference on Computer-aided design
Proceedings of the 39th annual Design Automation Conference
Proceedings of the conference on Design, automation and test in Europe
Optimal design of a CMOS op-amp via geometric programming
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
CMOS op-amp sizing using a geometric programming formulation
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
ORACLE: optimization with recourse of analog circuits including layout extraction
Proceedings of the 41st annual Design Automation Conference
Robust analog/RF circuit design with projection-based posynomial modeling
Proceedings of the 2004 IEEE/ACM International conference on Computer-aided design
Simulation-based reusable posynomial models for MOS transistor parameters
Proceedings of the conference on Design, automation and test in Europe
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Convex piecewise-linear modeling method for circuit optimization via geometric programming
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
PAGE: parallel agile genetic exploration towards utmost performance for analog circuit design
Proceedings of the Conference on Design, Automation and Test in Europe
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This paper presents a new method to automatically generate posynomial symbolic expressions for the performance characteristics of analog integrated circuits. The coefficient set as well as the exponent set of the posynomial expression are determined based on SPICE simulation data with device-level accuracy. We will prove that this problem corresponds to solving a non-convex optimization problem without local minima. The presented method is capable of generating posynomial performance expressions for both linear and nonlinear circuits and circuit characteristics. This approach allows to automatically generate an accurate sizing model that composes a geometric program that fully describes the analog circuit sizing problem. The automatic generation avoids the time-consuming nature of hand-crafted analytic model generation. Experimental results illustrate the capabilities and effectiveness of the presented modeling technique.