A General Approach for Sensitivity Analysis of Distributed Interconnects in the Time Domain

With the continually increasing operating frequencies, simulation and optimization for signal integrity in high-speed designs is becoming increasingly important. In this paper, a novel and generic method for sensitivity analysis of distributed interconnects is developed. Advantages of the proposed method are that it is independent of the macromodel used to represent the interconnects, and it does not require the computation of the sensitivity of the macromodel components with respect to the interconnect parameter of interest. Various numerical examples are presented to demonstrate the validity, generality, and efficiency of the new method.

[1]  Will Tribbey,et al.  Numerical Recipes: The Art of Scientific Computing (3rd Edition) is written by William H. Press, Saul A. Teukolsky, William T. Vetterling, and Brian P. Flannery, and published by Cambridge University Press, © 2007, hardback, ISBN 978-0-521-88068-8, 1235 pp. , 1987, SOEN.

[2]  Ronald A. Rohrer,et al.  Electronic Circuit and System Simulation Methods , 1994 .

[3]  M. Nakhla,et al.  A frequency domain approach to performance optimization of high-speed VLSI interconnects , 1992 .

[4]  Michel Nakhla,et al.  Sensitivity Analysis of Lossy Coupled Transmission Lines with Nonlinear Terminations , 1992, 1992 22nd European Microwave Conference.

[5]  Sivan Toledo,et al.  The Future Fast Fourier Transform? , 1997, PPSC.

[6]  Martin Vetterli,et al.  Fast Fourier transforms: a tutorial review and a state of the art , 1990 .

[7]  R. Pomerleau,et al.  Optimization and sensitivity analysis of multiconductor transmission line networks , 1994 .

[8]  J. Bandler,et al.  Sensitivity analysis of network parameters with electromagnetic frequency-domain simulators , 2006, IEEE Transactions on Microwave Theory and Techniques.

[9]  Ramachandra Achar,et al.  A general class of passive macromodels for lossy multiconductor transmission lines , 2001 .

[10]  M. Nakhla,et al.  A General Approach fbr Time-Domain Sensitivity Analysis of High-Speed Interconnects , 2006, 2006 IEEE Electrical Performane of Electronic Packaging.

[11]  Peipei Zhao,et al.  Adjoint First Order Sensitivities of Transient Responses and Their Applications in the Solution of Inverse Problems , 2009, IEEE Transactions on Antennas and Propagation.

[12]  R. Achar,et al.  Waveform Relaxation Techniques for Simulation of Coupled Interconnects With Frequency-Dependent Parameters , 2005, IEEE Transactions on Advanced Packaging.

[13]  A. Dounavis,et al.  Delay-extraction-based sensitivity analysis of multiconductor transmission lines with nonlinear terminations , 2005, IEEE Transactions on Microwave Theory and Techniques.

[14]  G. Antonini,et al.  A Spectral Approach to Frequency-Domain Sensitivity Analysis of Multiconductor Transmission Lines , 2009, IEEE Microwave and Wireless Components Letters.

[15]  J. E. Glynn,et al.  Numerical Recipes: The Art of Scientific Computing , 1989 .

[16]  Ramachandra Achar,et al.  Simulation of high-speed interconnects , 2001, Proc. IEEE.

[17]  R. Achar,et al.  DEPACT: delay extraction-based passive compact transmission-line macromodeling algorithm , 2005, IEEE Transactions on Advanced Packaging.

[18]  S. Grivet-Talocia,et al.  Transient analysis of lossy transmission lines: an efficient approach based on the method of Characteristics , 2004, IEEE Transactions on Advanced Packaging.

[19]  Michel Nakhla,et al.  Simplified Delay Extraction-Based Passive Transmission Line Macromodeling Algorithm , 2010, IEEE Transactions on Advanced Packaging.

[20]  Alan R. Jones,et al.  Fast Fourier Transform , 1970, SIGP.

[21]  J. L. Prince,et al.  Sensitivity analysis of multiconductor transmission lines and optimization for high-speed interconnect circuit design , 2000 .

[22]  G. Antonini,et al.  Time-Domain Green's Function-Based Sensitivity Analysis of Multiconductor Transmission Lines With Nonlinear Terminations , 2009, IEEE Microwave and Wireless Components Letters.

[23]  T. Sarkar,et al.  Analysis of Multiconductor Transmission Lines , 1988, 31st ARFTG Conference Digest.

[24]  Fung-Yuel Chang The generalized method of characteristics for waveform relaxation analysis of lossy coupled transmission lines , 1989 .

[25]  Anestis Dounavis,et al.  Sensitivity Analysis of Lossy Multiconductor Transmission Lines Based on the Passive Method of Characteristics Macromodel , 2010, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[26]  Jun-Fa Mao,et al.  Fast simulation and sensitivity analysis of lossy transmission lines by the method of characteristics , 1997 .

[27]  John W. Bandler,et al.  A unified theory for frequency-domain simulation and sensitivity analysis of linear and nonlinear circuits , 1988 .

[28]  Ramachandra Achar,et al.  Addressing transient errors in passive macromodels of distributed transmission-line networks , 2002 .

[29]  Fei Yuan,et al.  Noise and sensitivity analysis of periodically switched linear circuits in frequency domain , 2000 .

[30]  John W. Bandler,et al.  Harmonic balance simulation and optimization of nonlinear circuits , 1992, [Proceedings] 1992 IEEE International Symposium on Circuits and Systems.