An efficient determinant approach to symbolic function generation for analog circuits

A novel matrix approach to automatically generate a transfer function in a symbolic form for analog integrated circuits is presented. The analog integrated circuit under analysis is first changed to a closed system and then its linear equations are formulated by a modified nodal analysis method in a matrix form. A mixed top-down and bottom-up method for determinant calculation is carried out to efficiently obtain the functions of the analog integrated circuit in a symbolic form. Several heuristic rules are applied in the calculation process that further reduces the computation time. The analysis results show the this method is superior to other approaches.<<ETX>>

[1]  Georges Gielen,et al.  ISAAC: a symbolic simulator for analog integrated circuits , 1989, IEEE J. Solid State Circuits.

[2]  J. Vlach,et al.  Symbolic analysis of analog and digital circuits , 1977 .

[3]  Peddapullaiah Sannuti,et al.  Symbolic network analysis-An algebraic formulation , 1980 .

[4]  J. Fidler,et al.  Correction to 'Symbolic Analysis for Computer Aided Circuit Design - The Interpolative Approach' , 1974 .

[5]  M. Tsai,et al.  Generation of symbolic network functions using computer software techniques , 1977 .

[6]  Rob A. Rutenbar,et al.  OASYS: a framework for analog circuit synthesis , 1989, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[7]  Shu-Park Chan,et al.  Topological formulation of symbolic network functions and sensitivity analysis of active networks , 1974 .

[8]  G. E. Alderson,et al.  Computer generation of symbolic network functions-A new theory and implementation , 1973 .

[9]  Stefano Manetti,et al.  SAPEC-a personal computer program for the symbolic analysis of electric circuits , 1988, 1988., IEEE International Symposium on Circuits and Systems.

[10]  R. Mielke,et al.  A new signal flowgraph formulation of symbolic network functions , 1978 .

[11]  J. Fidler,et al.  Symbolic analysis for computer-aided circuit design-The interpolative approach , 1973 .

[12]  Willy Sansen,et al.  Analog Circuit Design Optimization based on Symbolic Simulation and Simulated Annealing , 1989, ESSCIRC '89: Proceedings of the 15th European Solid-State Circuits Conference.