|
ABSTRACT
We present a novel technique to automatically calculate an initialsizing of analog circuits that conforms to good design practice.The method is purely (DC) simulation-based and does not needsymbolic design equations or user design knowledge. It identifiesthe space of feasible design parameters based on implicit specifications, which arise from the circuit topology. A sizing centeredwithin this space is obtained by iteratively solving a maximum volume ellipsoid problem on approximations to the feasible parameter space. The result is well-suited as initial sizing because it safely satisfies all implicit specifications. Experimental results demonstrate the efficiency and reliability of our method.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
| |
1
|
[1] H. Abdel-Malek and A. Hassan. The ellipsoidal technique for design centering and region approximation. IEEE Trans. CAS, 1991.
|
| |
2
|
[2] H. L. Abdel-Malek, A.-K. S. O. Hassan, and M. H. Heaba. A boundary gradient search techniques and its application in design centering. IEEE Trans. CAS, 1999.
|
| |
3
|
[3] K. Antreich, J. Eckmueller, H. Graeb, M. Pronath, F. Schenkel, R. Schwencker, and S. Zizala. WiCkeD: Analog circuit synthesis incorporating mismatch. In IEEE CICC, 2000.
|
| |
4
|
[4] R. Bland, D. Goldfarb, and M. Todd. The ellipsoid method: a survey. Operations Research, 1981.
|
| |
5
|
[5] G. Debyser, F. Leyn, G. Gielen, W. Sansen, and M. Styblinski. Efficient statistical analog IC design using symbolic methods. In IEEE ISCAS, 1998.
|
| |
6
|
[6] M. del Mar Hershenson, S. P. Boyd, and T. H. Lee. Optimal design of a CMOS Op-Amp via geometric programming. IEEE Trans. CAS, 2001.
|
| |
7
|
[7] S. Director and G. Hachtel. The simplicial approximation approach to design centering. IEEE Trans. CAS, 1977.
|
| |
8
|
|
| |
9
|
[9] L. Khachiyan. A polynomial algorithm in linear programming. Soviet Mathematics Doklady, 1979.
|
| |
10
|
|
| |
11
|
[11] G. Kjellström and L. Taxen. Stochastic optimization in system design. IEEE Trans. CAS, 1981.
|
| |
12
|
[12] J. Nocedal and S. J. Wright. Numerical Optimization. Springer, 1999.
|
| |
13
|
[13] W. Nye, D. Riley, A. Sangiovanni-Vincentelli, and A. Tits. DELIGHT.SPICE: An optimization-based system for the design of integrated circuits. IEEE Trans. CAS, 1988.
|
| |
14
|
[14] R. Phelps, M. Krasnicki, R. A. Rutenbar, L. R. Carley, and J. R. Hellums. Anaconda: Simulation-based synthesis of analog circuits via stochastic pattern search. IEEE Trans. CAS, 2000.
|
| |
15
|
|
| |
16
|
[16] A. Seifi, J. Vlach, and K. Ponnambalam. Statistical design of integrated circuits using maximum likelihood estimation of the covariance matrix. In IEEE ISCAS, 1998.
|
| |
17
|
[17] G. Van der Plas, G. Debyser, F. Leyn, K. Lampaert, J. Vandenbussche, G. Gielen, W. Sansen, P. Veselinovic, and D. Leenaerts. AMGIE-A synthesis environment for CMOS analog integrated circuits. IEEE Trans. CAS, 2001.
|
| |
18
|
[18] J. Wojciechowski and J. Vlach. Ellipsoidal method for design centering and yield estimation. IEEE Trans. CAS, 1993.
|
| |
19
|
[19] Y. Zhang and L. Gao. On numerical solution of the maximum volume ellipsoid problem. Technical Report TR01-15, Center for Computational and Applied Math, Rice University, Houston, 2001.
|
| |
20
|
[20] G. M. Ziegler. Lectures on Polytopes. Springer Verlag, New York, 1995.
|
CITED BY 7
|
|
|
|
|
Daniel Mueller , Guido Stehr , Helmut Graeb , Ulf Schlichtmann, Deterministic approaches to analog performance space exploration (PSE), Proceedings of the 42nd annual conference on Design automation, June 13-17, 2005, San Diego, California, USA
|
|
|
|
|
|
|
|
|
|
|
|
Bo Liu , Yan Wang , Zhiping Yu , Leibo Liu , Miao Li , Zheng Wang , Jing Lu , Francisco V. Fernández, Analog circuit optimization system based on hybrid evolutionary algorithms, Integration, the VLSI Journal, v.42 n.2, p.137-148, February, 2009
|
|
|
|
|