Boots – shoes – and leggings
Patent
1997-04-02
1999-02-02
Lim, Krisna
Boots, shoes, and leggings
36472501, 364735, 3647482, G06F 1700
Patent
active
058674160
ABSTRACT:
Methods and apparatus for performing frequency domain analysis using compressed matrix storage to reduce the computation and storage requirements associated with processing a system of harmonic balance equations. A nonlinear circuit, system or other device to be analyzed includes n unknown node spectra, each characterized by N spectral coefficients in the system of harmonic balance equations. A compressed version of a Jacobian matrix J representing the system of harmonic balance equations is generated by forming m sequences of length N using one or more block-diagonal matrices associated with the Jacobian matrix J, converting each of the m sequences to the frequency domain using a discrete Fourier transform, such that a set of Fourier coefficients are generated for each of the m sequences, and storing only those Fourier coefficients which exceed a threshold as the compressed version of the Jacobian matrix J. Information generated from an inverse transform of the compressed version is utilized to solve a preconditioned linear system J.sup.-1 JZ=J.sup.-1 W which is based on an approximation J of the Jacobian matrix J.
REFERENCES:
1. K.S. Kundert, J.K. White and A. Sangiovanni-Vincentelli, "Steady-State Methods for Simulating Analog and Microwave Circuits," Kluwer, Boston, MA, pp. 91-93, 124-132, 1990.
2. V. Rizzoli, C. Cecchetti, A. Lipparini and F. Mastri, "General-Purpose Harmonic Balance Analysis of Nonlinear Microwave Circuits Under Multitone Excitation,"IEEE Trans. Microwave Theory and Tech., vol. MTT-36, No. 12, pp. 1650-1660, Dec. 1988.
3. V. Rizzoli, F. Mastri, F. Sgallari and C. Frontini, "The Exploitation of Sparse Matrix Techniques in Conjuction with the Piece-Wise Harmonic Balance Method for Nonlinear Microwave Circuit Analysis," IEEE MTT-S Int. Microwave Symp. Digest, Dallas, TX, pp. 1295-1298, May 1990.
4. D. Long, R. Melville, K. Ashby and B. Horton, "Full-chip Harmonic Balance," Proceedings of the IEEE Custom Integrated Circuits Conference, May 1997.
5. P. Feldmann, R. Melville and D. Long, "Efficient Frequency Domain Analysis of Large Non-Linear Analog Circuits,"Proceedings of the IEEE Custom Integrated Circuits Conference, May 1996.
6. R. Melville, P. Feldmann and J. Roychowdhury, "Effiecient Multi-Tone Distortion Analysis of Analog Integrated Circuits," Proceedings of the IEEE Custom Integrated Circuit Conference, May 1995.
7. M. Rosch and K. Antreich, "Schnelle Stationare Simulation Nichtlinearer Schaltungen im Freuenzebereich," AEU, vol. 46, No. 3, pp.168-176, 1992.
8. M. Rosch, "Schnelle Simulation des Stationaren Verhaltens Nichtlinearer Schaltungen," Dissertation, Technical University of Munich, 1992.
9. B. Troyanovsky, Z. Yu, L. So and R.W. Dutton, "Relaxation-Based Harmonic Balance Technique for Semiconductor Device Simulation," Proceeding of the IEEE/ACM International Conference on Computer-Aided Design, pp. 700-703, Nov. 1995.
10. H.G. Brachtendorf, G. Welsch, R. Laur and A. Buse-Gerstner, "Numerical Steady State Analysis of Electronic Circuits Driven by Multi-Tone Signals," Electrical Engineering 79, pp. 103-112, Springer-Verlag, 1996.
11. H.G. Brachtendorf, G. Welsch, and R. Laur, "A Simulation Tool for the Analysis and Verification of the Steady State of Circuit Designs," International Journal of Circuit Theory and Applications, vol, 23, pp. 311-323, 1995.
12. K.S. Kundert and A. Sangiovanni-Vincentelli, "Simulation of Nonlinear Circuits in the Frequency Domain," IEEE Transactions on Computer-Aided Design, vol. CAD-5, No. 4, pp. 521-535, Oct. 1986.
13. V. Rizzoli, A. Lipparini, A. Costanzo, F. Mastri, C. Cecchetti, A. Neri and D. Masotti, "State of the Art Harmonic Balance Simulation of Forced Nonlinear Microwave Circuits by the Piecewise Technique," IEEE Trans. Microwave Theory and Tech., vol. 40, No. 1, pp. 12-28, Jan. 1992.
14. V. Rizzoli, A. Costanzo, P.R. Ghigi, F. Mastri, D. Masotti and C. Cecchetti, "Recent Advances in Harmonic-Balance techniques for Nonlinear Microwave Circuit Simulation," AEU, vol. 46, No. 4, pp.286-297, 1992.
Feldmann Peter
Long David Esley
Melville Robert C.
Lim Krisna
Lucent Technologies - Inc.
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