Apparatus and method for analyzing circuits

Boots – shoes – and leggings

Patent

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

364488, 364578, G06G 719

Patent

active

055373291

ABSTRACT:
A circuit analyzer and method are disclosed for generating and outputting a Pade via Lanczos (PVL) approximation of a frequency response of a circuit from input circuit parameters. A processing unit having a processor, memory, and stored programs processes the input circuit parameters, determines a block tridiagonal matrix by an iterative look-ahead Lanczos procedure, and calculates a Pade approximant from the block tridiagonal matrix, including poles, zeros, and residues. The look-ahead Lanczos procedure employs non-singular matrices to ensure numerical stability of the iterative calculation of the components of the block tridiagonal matrix. The output is an approximation of a plurality of frequencies at which any poles and zeros of the impulse response of the circuit occur. A graphical representation of the approximated frequency response is also produced, and qualitative measurements of the accuracy of the approximated poles are provided.

REFERENCES:
patent: 3591784 (1971-07-01), Cutter et al.
patent: 3601592 (1971-08-01), Cutter et al.
patent: 3918395 (1974-11-01), Fernside
patent: 4101383 (1978-07-01), Wyatt et al.
patent: 4264566 (1981-04-01), Giles et al.
patent: 4280388 (1981-07-01), White
patent: 4593378 (1986-06-01), McWhirter et al.
patent: 4665523 (1987-05-01), Citron et al.
patent: 4755761 (1988-07-01), Ray, Jr.
patent: 4774667 (1988-09-01), Kuraoka et al.
patent: 4792787 (1988-12-01), Speiser et al.
patent: 4848851 (1989-07-01), Kuraoka et al.
patent: 4853861 (1989-08-01), Ford et al.
patent: 4951264 (1990-08-01), Yamamoto
patent: 4991093 (1991-02-01), Roberge et al.
patent: 5018086 (1991-05-01), Agarwal
patent: 5047969 (1991-09-01), Sloane
patent: 5094127 (1992-03-01), Ishida et al.
patent: 5164727 (1992-11-01), Zakhor et al.
patent: 5276629 (1994-01-01), Reynolds
patent: 5278770 (1994-01-01), Gore et al.
patent: 5282148 (1994-01-01), Poirot et al.
patent: 5282213 (1994-01-01), Leigh et al.
patent: 5349541 (1994-09-01), Alexandro, Jr. et al.
patent: 5377687 (1995-01-01), Evans et al.
"The Generalized Eigenproblem: Pole-Zero Computation", by Stephen Haley, Proceedings of the IEEE, vol. 76, No. 2, Feb. 1988, pp. 103-120.
"Dominant Pole(s)/Zero(s) Analysis for Analog Circuit Design", by Lawrence Pillage et al., IEEE 1989 Custom Integrated Circuits Conference, 1989 IEEE, pp. 21.3.1-21.3.4.
"Fast Simulation of Reflection and Crosstalk Effects using a Pade Approximation", by E. Griese et al., Electromagnetic Compatibility, 5-7, Sep., Conference Publication No. 396, IEE, p. 209-216.
European Patent Office Search Report for Application No. EP 95 30 4267, dated 15 Sep. 1995.
P. Feldman et al., "Efficient Linear Circuit Analysis by Pade Approximation via the Lanczos Process", Transactions on Computer-Aided Design of Integrated Circuits And Systems, vol. 14, No. 5, May 1995, pp. 639-649.
G. A. Baker, Jr. and P. Graves-Morris, pade Approximants, Part I: Basic Theory, Addison-Wesley, Reading, MA, pp. 1-43, 1981.
E. Chiprout and M. S. Nakhla, Asymptotic Waveform Evaluation and Moment Matching For Interconnect Analysis, Kluwer Academic Publishers, Norwell, MA, 1994.
J. Vlach and K. Singhal, Computer Methods For Circuit Analysis And Design, Van Nostrand Reinhold, New York, N. Y., pp. 1001-1041, 1983.
Matlab User's Guide, The MathWorks, Inc., Natick, MA, pp. (i) to (iv) and pp. 1-1 to 1-3, 1992.
M. M. Alaybeyi, J. Y. Lee, and R. A. Rohrer, "Numerical Integration Alogrithms and Asymptotic Waveform Evaluation (AWE),", Technical Digest of the 1992 IEEE/ACM International Conf. On Computer-Aided Design, pp. 76-79, Nov., 1992.
E. Chiprout and M. Nakhla, "Generalized Moment-Matching Methods for Transient Analysis of Interconnect Networks", Proc. Of The 29th ACM/IEEE Design Automation Conf., pp. 201-206, Jun. 1992.
R. W. Freund, "The Look-Ahead Lanczos Process for Large Nonsymmetric Matrices and Related Algorithms", Linear Algebra For Large Scale And Real-Time Applications, Kluwer Academic Publishers, Dordecht, The Netherlands, pp. 137-163, 1993.
R. W. Freund, M. H. Gutknecht, and N. M. Nachtigal, "An Implementation of the Look-Ahead Lanczos Algorithm for Non-Hermitiant Matrices", SIAM J. Sci. Comput., vol. 14, No. 1, pp. 137-158, 1993.
W. B. Gragg, "Matrix Interpretations and Applications of the Continued Fraction Algorithm", Rocky Mountain J. Math., vol. 4, No. 2, pp. 213-225, 1974.
H. Heeb, A. E. Ruehli, J. E. Bracken, and R. A. Rohrer, "Three Dimensional circuit Oriented Electromagnetic Modeling for VLSI Interconnects", Proc. of the 1992 IEEE International Conf. on Computer Design: VLSI In Computers & Processors, pp. 218-221, Oct. 1992.
X. Huang, Pade Approximation of Linear(ized) Circuit Responses, Ph. D. Dissertation, Department of Electrical and Computer Engineering, Carnegie Mellon University, Pittsburgh, PA< Nov., 1990.
W. Kahan, B. N. Partlett, and E. Jiang, "Residual bounds on Approximate Eigensystems of Nonnormal Matrices", Siam J. Numer. Anal., vol. 19, No. 3, pp. 470-484, 1982.
C. Lanczos, "An Iteration Method for the Solution of the Eigenvalue Problem of Linear Differential and Integral Operators" J. Res. Nat. Bur. Standards, vol. 45, No. 4, pp. 255-282, 1950.
L. T. Pillage and R. A. Rohrer, "Asymptotic Waveform Evaluation for Timing Analysis", IEEE Trans. Computer-Aided Design, vol. CAD-9, No. 4, pp. 352-366, Apr., 1990.
V. Raghavan, J. E. Bracken, and R. A. Rohrer, "AWESpice: A General Tool for the Accurate and Efficient Simulation of Interconnect Problems", Proc. of the 29th ACM/IEEE Design Automation Conf., App. 87-92, Jun., 1992.
V. Raghavan, R. A. Rohrer, L. T. Pillage, J. Y. Lee, J. E. Bracken, and M. M. Alaybeyi, "AWE-Inspired", Proc. Of The IEEE 1993 Custom Integrated Circuits Conf., pp. 18.1.1 to 18.1.8, May, 1993.
A. E. Ruehli, "Equivalent Circuit Models for Three-Dimensional Multiconductor Systems", IEEE Trans. Microwave Theory And Tech., vol. MTT-22, No. 3, pp. 216-221, Mar. 1974.
T. J. Schmerbeck, R. A. Richetta, and L. D. Smith, "A 27MHz Mixed Analog/Digital Magnetic Recording Channel DSP Using Partial Response Signalling with Maximum Likelihood Detection", Technical Digest of the 1991 IEEE International Solid-State Circuit Conf., 136-137, Feb., 1991.
B. R. Stanisic, R. A. Rutenbar, and L. R. Carley, "Mixed-Signal Noise-Decoupling via Simultaneous Power Distribution Design and Cell Customization in Rail", Proc. of the 1994 IEEE Custom Integrated Circuits Conf., 1994.

LandOfFree

Say what you really think

Search LandOfFree.com for the USA inventors and patents. Rate them and share your experience with other people.

Rating

Apparatus and method for analyzing circuits does not yet have a rating. At this time, there are no reviews or comments for this patent.

If you have personal experience with Apparatus and method for analyzing circuits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Apparatus and method for analyzing circuits will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFUS-PAI-O-1789660

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.