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Techniques and Applications of Symbolic Analysis for Analog Integrated Circuits

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Trade-Offs in Analog Circuit Design

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References

  1. G. Gielen, P. Wambacq and W. Sansen, “Symbolic analysis methods and applications for analog circuits: a tutorial overview”, Proceedings of the IEEE, vol. 82, no. 2, pp. 287–304, February 1994.

    Article  Google Scholar 

  2. F. Fernández, A. Rodràguez-Vázquez, J. Huertas and G. Gielen, “Symbolic analysis techniques — applications to analog design automation”, IEEE Press, 1998.

    Google Scholar 

  3. Willy Sansen, Georges Gielen, Herman Walscharts, “A symbolic simulator for analog circuits”, Proceedings International Solid-State Circuits Conference (ISSCC), pp. 204–205, 1989.

    Google Scholar 

  4. G. Gielen, H. Walscharts and W. Sansen, “ISAAC: a symbolic simulator for analog integrated circuits”, IEEE Journal of Solid-State Circuits, vol. 24, no. 6, pp. 1587–1597, December 1989.

    Article  Google Scholar 

  5. F. Fernández, A. Rodràguez-Vázquez and J. Huertas, “A tool for symbolic analysis of analog integrated circuits including pole/zero extraction”, Proceedings European Conference on Circuit Theory and Design (ECCTD), pp. 752–761, 1991.

    Google Scholar 

  6. F. Fernández, A. Rodràguez-Vázquez and J. Huertas, “Interactive AC modeling and characterization of analog circuits via symbolic analysis”, Kluwer Journal on Analog Integrated Circuits and Signal Processing, vol. 1, pp. 183–208, November 1991.

    Google Scholar 

  7. S. Seda, M. Degrauwe and W. Fichtner, “A symbolic analysis tool for analog circuit design automation”, Proceedings International Conference on Computer-Aided Design (ICCAD), pp. 488–491, 1988.

    Google Scholar 

  8. S. Seda, M. Degrauwe and W. Fichtner, “Lazy-expansion symbolic expression approximation in SYNAP”, Proceedings International Conference on Computer-Aided Design (ICCAD), pp. 310–317, 1992.

    Google Scholar 

  9. S. Manetti, “New approaches to automatic symbolic analysis of electric circuits”, IEE Proceedings Part G, pp. 22–28, February 1991.

    Google Scholar 

  10. G. Wierzba et al., “SSPICE — A symbolic SPICE program for linear active circuits”, Proceedings Midwest Symposium on Circuits and Systems, 1989.

    Google Scholar 

  11. A. Konczykowska and M. Bon, “Automated design software for switched-capacitor IC’s with symbolic simulator SCYMBAL”, Proceedings Design Automation Conference (DAC), pp. 363–368, 1988.

    Google Scholar 

  12. M. Hassoun and P. Lin, “A new network approach to symbolic simulation of large-scale networks”, Proceedings International Symposium on Circuits and Systems (ISCAS), pp. 806–809, 1989.

    Google Scholar 

  13. R. Sommer, E. Hennig, G. Drôge and E.-H. Horneber, “Equation-based symbolic approximation by matrix reduction with quantitative error prediction”, Alta Frequenza — Rivista di Elettronica, vol. 5, no. 6, pp. 29–37, November–December 1993.

    Google Scholar 

  14. H. Floberg and S. Mattison, “Computer aided symbolic circuit analysis CASCA”, Alta Frequenza — Rivista di Elettronica, vol. 5, no. 6, pp. 24–28, November–December 1993.

    Google Scholar 

  15. J. Hsu and C. Sechen, “DC small signal symbolic analysis of large analog integrated circuits”, IEEE Transactions on Circuits and Systems, Part I, vol. 41, no. 12, pp. 817–828, December 1994.

    Google Scholar 

  16. Q. Yu and C. Sechen, “A unified approach to the approximate symbolic analysis of large analog integrated circuits”, IEEE Transactions on Circuits and Systems, Part I, vol. 43, no. 8, pp. 656–669, August 1996.

    Google Scholar 

  17. B. Li and D. Gu, “SSCNAP: a program for symbolic analysis of switched capacitor circuits“, IEEE Transactions on Computer-Aided Design, vol. 11, no. 3, pp. 334–340, March 1992.

    Google Scholar 

  18. M. Martins, A. Garção and J. Franca, “A computer-assisted tool for the analysis of multirate SC networks by symbolic signal flow graphs”, Alta Frequenza — Rivista di Elettronica, vol. 5, no. 6, pp. 6–10, November–December 1993.

    Google Scholar 

  19. P. Lin, Symbolic Network Analysis. Elsevier, 1991.

    Google Scholar 

  20. G. Gielen and W. Sansen, Symbolic Analysis for Automated Design of Analog Integrated Circuits. Kluwer Academic Publishers, 1991.

    Google Scholar 

  21. L. Huelsman, “Personal computer symbolic analysis programs for undergraduate engineering courses”, Proceedings International Symposium on Circuits and Systems (ISCAS), pp. 798–801, 1989.

    Google Scholar 

  22. G. Gielen, H. Walscharts and W. Sansen, “Analog circuit design optimization based on symbolic simulation and simulated annealing”, IEEE Journal of Solid-State Circuits, vol. 25, no. 3, pp. 707–713, June 1990.

    Article  Google Scholar 

  23. H. Koh, C. Séquin and P. Gray, “OPASYN: a compiler for CMOS operational amplifiers”, IEEE Transactions on Computer-Aided Design, vol. 9, no. 2, pp. 113–125, February 1990.

    Article  Google Scholar 

  24. K. Swings and W. Sansen, “DONALD: a work bench for interactive design space exploration and sizing of analog circuits”, Proceedings European Design Automation Conference (EDAC), pp. 475–478, 1991.

    Google Scholar 

  25. M. Degrauwe et al., “IDAC: an interactive design tool for analog CMOS circuits”, IEEE Journal of Solid-State Circuits, vol. 22, no. 6, pp. 1106–1116, December 1987.

    Article  Google Scholar 

  26. R. Harjani, R. Rutenbar and L. Carley, “OASYS: a framework for analog circuit synthesis”, IEEE Transactions on Computer-Aided Design, vol. 8, no. 12, pp. 1247–1266, December 1989.

    Article  Google Scholar 

  27. J. Vital, N. Horta, N. Silva and J. Franca, “CATALYST: a highly flexible CAD tool for architecture-level design and analysis of data converters”, Proceedings European Design Automation Conference (EDAC), pp. 472–477, 1993.

    Google Scholar 

  28. F. Medeiro, B. Pérez-Verdú, A. Rodràguez-Vázquez and J. Huertas, “A vertically integrated tool for automated design of ΣΔ modulators”, IEEE Journal of Solid-State Circuits, vol. 30, no. 7, pp. 762–772, July 1995.

    Article  Google Scholar 

  29. G. Gielen et al., “An analog module generator for mixed analog/digital ASIC design”, John Wiley International Journal of Circuit Theory and Applications, vol. 23, pp. 269–283, July–August 1995.

    Google Scholar 

  30. M. Degrauwe et al., “The ADAM analog design automation system”, Proceedings ISCAS, pp. 820–822, 1990.

    Google Scholar 

  31. A. Konczykowska and M. Bon, “Analog design optimization using symbolic approach”, Proceedings International Symposium on Circuits and Systems (ISCAS), pp. 786–789, 1991.

    Google Scholar 

  32. A. Konczykowska, P. Rozes, M. Bon and W. Zuberek, “Parameter extraction of semiconductor devices electrical models using symbolic approach”, Alta Frequenza — Rivista di Elettronica, vol. 5, no. 6, pp. 3–5, November–December 1993.

    Google Scholar 

  33. A. Konczykowska and M. Bon, “Symbolic simulation for efficient repetitive analysis and artificial intelligence techniques in C.A.D.”, Proceedings International Symposium on Circuits and Systems (ISCAS), pp. 802–805, 1989.

    Google Scholar 

  34. S. Manetti and M. Piccirilli, “Symbolic simulators for the fault diagnosis of nonlinear analog circuits”, Kluwer Journal on Analog Integrated Circuits and Signal Processing, vol. 3, no. 1, pp. 59–72, January 1993.

    Google Scholar 

  35. R. Carmassi, M. Catelani, G. Iuculano, A. Liberatore, S. Manetti and M. Marini, “Analog network testability measurement: a symbolic formulation approach”, IEEE Transactions on Instrumentation and Measurement, vol. 40, pp. 930–935, December 1991.

    Article  Google Scholar 

  36. C. Borchers, L. Hedrich and E. Barke, “Equation-based behavioral model generation for nonlinear analog circuits”, Proceedings Design Automation Conference (DAC), pp. 236–239, 1996.

    Google Scholar 

  37. L. Hedrich and E. Barke, “A formal approach to verification of linear analog circuit with parameter tolerances”, Proceedings Design and Test in European Conference (DATE), pp. 649–654, 1998.

    Google Scholar 

  38. P. Lin, “A survey of applications of symbolic network functions”, IEEE Transactions on Circuit Theory, vol. 20, no. 6, pp. 732–737, November 1973.

    Google Scholar 

  39. F. Fernández, A. Rodriguez-Vázquez, J. Martin and J. Huertas, “Formula approximation for flat and hierarchical symbolic analysis”, Kluwer Journal on Analog Integrated Circuits and Signal Processing, vol. 3, no. 1, pp. 43–58, January 1993.

    Google Scholar 

  40. P. Wambacq, G. Gielen, W. Sansen and F. Fernandez, “Approximation during expression generation in symbolic analysis of analog ICs”, Alta Frequenza — Rivista di Elettronica, vol. 5, no. 6, pp. 48–55, November–December 1993.

    Google Scholar 

  41. P. Wambacq, F. Fernández, G. Gielen, W. Sansen and A. Rodriguez-Vázquez, “Efficient symbolic computation of approximated small-signal characteristics”, IEEE Journal of Solid-State Circuits, vol. 30, no. 3, pp. 327–330, March 1995.

    Article  Google Scholar 

  42. M. Amadori, R. Guerrieri and E. Malavasi, “Symbolic analysis of simplified transfer functions”, Kluwer Journal on Analog Integrated Circuits and Signal Processing, vol. 3, no. 1, pp. 9–29, January 1993.

    Google Scholar 

  43. J. Lee and R. Rohrer, “AWEsymbolic: compiled analysis of linear(ized) circuits using Asymptotic Waveform Evaluation”, Proceedings Design Automation Conference (DAC), pp. 213–218, 1992.

    Google Scholar 

  44. J. Smit, “A cancellation-free algorithm, with factoring capabilities, for the efficient solution of large sparse sets of equations”, Proceedings SYMSAC, pp. 146–154, 1981.

    Google Scholar 

  45. J. Starzyk and A. Konczykowska, “Flowgraph analysis of large electronic networks”, IEEE Transactions on Circuits and Systems, vol. 33, no. 3, pp. 302–315, March 1986.

    Article  Google Scholar 

  46. M. Hassoun and K. McCarville, “Symbolic analysis of large-scale networks using a hierarchical signal flowgraph approach”, Kluwer Journal on Analog Integrated Circuits and Signal Processing, vol. 3, no. 1, pp. 31–42, January 1993.

    Google Scholar 

  47. P. Lin, “Sensitivity analysis of large linear networks using symbolic programs”, Proceedings International Symposium on Circuits and Systems (ISCAS), pp. 1145–1148, 1992.

    Google Scholar 

  48. R. Shi and X. Tan, “Symbolic analysis of large analog circuits with determinant decision diagrams”, Proceedings International Conference on Computer-Aided Design (ICCAD), pp. 366–373, 1997.

    Google Scholar 

  49. F. Dorel and M. Declercq, “A prototype tool for the design oriented symbolic analysis of analog circuits”, Proceedings Custom Integrated Circuits Conference (CICC), pp. 12.5.1–12.5.4, 1992.

    Google Scholar 

  50. F. Fernández, A. Rodríguez-Vázquez, J. Martin and J. Huertas, “Approximating nested format symbolic expressions”, Alta Frequenza — Rivista di Elettronica, vol. 5, no. 6, pp. 29–37, November–December 1993.

    Google Scholar 

  51. G. Nebel, U. Kleine and H.-J. Pfleiderer, “Symbolic pole/zero calculation using SANTAFE”, IEEE Journal of Solid-State Circuits, vol. 30, no. 7, pp. 752–761, July 1995.

    Article  Google Scholar 

  52. P. Wambacq, J. Vanthienen, G. Gielen and W. Sansen, “A design tool for weakly nonlinear analog integrated circuits with multiple inputs (mixers, multipliers)”, Proceedings Custom Integrated Circuits Conference (CICC), pp. 5.1.1–5.1.4, 1991.

    Google Scholar 

  53. P. Wambacq, G. Gielen and W. Sansen, “Symbolic simulation of harmonic distortion in analog integrated circuits with weak nonlinearities”, Proceedings International Symposium on Circuits and Systems (ISCAS), pp. 536–539, 1990.

    Google Scholar 

  54. Z. Arnautovic and P. Lin, “Symbolic analysis of mixed continuous and sampled-data systems”, Proceedings International Symposium on Circuits and Systems (ISCAS), pp. 798–801, 1991.

    Google Scholar 

  55. M. Hassoun, B. Alspaugh and S. Burns, “A state-variable approach to symbolic circuit simulation in the time domain”, Proceedings International Symposium on Circuits and Systems (ISCAS), pp. 1589–1592, 1992.

    Google Scholar 

  56. C. Baumgartner, “AMADEUS — Analog modeling and design using a symbolic environment”, Proceedings 4th international workshop on Symbolic Methods and Applications in Circuit Design (SMACD), Leuven, 1996.

    Google Scholar 

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Gielen, G. (2002). Techniques and Applications of Symbolic Analysis for Analog Integrated Circuits. In: Toumazou, C., Moschytz, G., Gilbert, B., Kathiresan, G. (eds) Trade-Offs in Analog Circuit Design. Springer, Boston, MA. https://doi.org/10.1007/0-306-47673-8_32

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  • DOI: https://doi.org/10.1007/0-306-47673-8_32

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