R. W. Freund and P. Feldmann. Small-signal circuit analysis and sensitivity computations with the PVL algorithm. IEEE Trans. Circuits and Systems---II: Analog and Digital Signal Processing, 43:577--585, 1996.  Home/Search   Document Details and Download   Summary   Related Articles   Check

....is smooth, i.e. C # , and has an equilibrium. Without loss of generality we take this equilibrium at 0, i.e. f (0) 0. Examples of the origins of nonlinear dynamical systems of the form (1. 1) include the simulation of time varying nonlinear circuit elements by independent excitation source [4, 3], and MEMS, such as micro pressure sensor [8] The modeling of the dynamical behavior of a voltage controlled parallelplate electrostatic actuator also derives a set of state equations of the form (1.1) 15, p.138] Such an electrostatic actuator invokes multi domain parameters, such as mass, ....

....the linearized system (2.3) and obtain a linear reduced order model. The output y is an approximation of the output y of the original system (1. 1) If we are interested in a small region of the state space near the equilibrium point, or so called small signal analysis, then as demonstrated in [4], this approach provides an e#cient tool for analyzing the nonlinear system (1.1) Alternatively, one may also use the linearized model (2.3) to extract a Krylov projection subspace spanned by V n . Then, by substituting x V n z into the original nonlinear system (1.1) a nonlinear ....

R. W. Freund and P. Feldman. Small-signal circuit analysis and sensitivity computations with the PVL algorithm. IEEE Trans. Circuits and Systems -- II, 43:577--585, 1996.

....measure ( for the poles of can be defined to determine . Calculation of is based on defining bounds for eigenvalues of the reduced model. Finally, is used for determining the optimum order of reduction ( so that to satisfy the desired accuracy. Details can be found in [27][1] 3.2.1 Finding Patterns for Maximal Delay In Equation 3, all the timing information of the output signal is available and the impact of inputs X are considered within and coefficients. As a result, by defining delay as the time taken to reach certain voltage (e.g. 50 of ....

Peter Feldmann, and Ronal W. Freund, "Small-signal Circuit Analysis and Sensitivity Computations with the PVL Algorithm," IEEE Trans. on Circuits and systems II: Analog and Digital Signal Processing, vol. 43, no. 8, pp. 577-585, Aug. 1996.

.... process in circuit simulation with the PVL algorithm (iPade Via Lanczosj) 8, 9] and about the same time this was done by Gallivan, Grimme and Van Dooren in [17] Further development with the PVL algorithm by Feldmann and Freund includes small signal circuit analysis and sensitivity computations [13], the symmetric PVL algorithm SyPVL [12] a block Lanczos algorithm [10] and a symmetric block Lanczos algorithm [14] Grimme, Sorensen and Van Dooren describe how to generate a stable reducedorder model via an implicitly restarted Lanczos method [21] Bai, Feldmann and Freund described how to ....

R. W. Freund and P. Feldmann. Small-signal circuit analysis and sensitivity computations with the PVL algorithm. IEEE Transactions on Circuits and and SystemsII: Analog and Digital Signal Processing, 43:577585, 1996.

....only increases our understanding of what circumstances make the reduction particularly sensitive, and so may help for example in the design and monitoring of algorithms which produce and use the reduction, but it is also an important part of the solution of some problems. The very readable paper [6] by Freund and Feldmann clearly describes the elegant and useful new application of the Lanczos algorithm [8] see also [5] and also shows how the sensitivity of the reduction (1.1) leads to the required sensitivities of the computed results. There it is shown how the sensitivity with respect to ....

R. Freund and P. Feldmann. Small-signal circuit analysis and sensitivity computations with the PVL algorithm. IEEE Trans. Circuits and Systems--II: Analog Dig. Sig. Processing, 43:577--585, Aug. 1996.

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R. W. Freund and P. Feldmann. Small-signal circuit analysis and sensitivity computations with the PVL algorithm. IEEE Trans. Circuits and Systems---II: Analog and Digital Signal Processing, 43:577--585, 1996.

....and capacitors, respectively; see [FrF2] Remark 3.4 In circuit simulation, it is often crucial to compute sensitivities of the transfer function or its poles or zeros, with respect to certain circuit parameters. An extension of PVL that allows such sensitivity computations is described in [FrF1]. 4. A Lanczos type algorithm for multiple starting vectors We now return to the general m input p output case, with arbitrary m; p 1. A Lanczos type process connected to matrix Pad e approximants of transfer functions H given by (2:3) needs to be able to han Lanczos based circuit simulation ....

R. W. Freund and P. Feldmann, Small-signal circuit analysis and sensitivity computations with the PVL algorithm, IEEE Trans. Circuits and Systems---II: Analog and Digital Signal Processing 43 (1996), 577--585.

....size of C l dominates that of C r , the approximate system has a much smaller state space dimension than (13) and can thus be integrated by SPICE type circuit simulators. A second example of linear dynamical systems (1) arising from the original system (13) is small signal analysis; see, e.g. [50]. We assume that all time varying circuit elements are independent sources, and we denote by m the number of such sources. In this case, the system (13) simplifies to a system of the form f (x) d dt q(x) Bu(t) 20) Here, u(t) is an m dimensional vector the entries of which are the ....

....H in the frequency range of interest, 0 5 Theta 10 9 . In Figure 3, we show the approximation jH 60 (j )j (computed with PVL) together with the exact function jH(j )j, both for 0 5 Theta 10 9 . We conclude this subsection by mentioning some further work related to PVL. In [50], it is shown how PVL can be extended to include the computation of circuit sensitivities. Bai and Ye [10] developed a technique for estimating the approximation error in PVL. Recall from Sections 3.3 and 5.3 that, for RLC circuits, the inherent symmetry of the transfer functions can be exploited ....

R. W. Freund and P. Feldmann. Small-signal circuit analysis and sensitivity computations with the PVL algorithm. IEEE Trans. Circuits and Systems---II: Analog and Digital Signal Processing, 43:577--585, 1996.

No context found.

P. Feldmann, and R. Freund, "Small-signal Circuit Analysis and Sensitivity Computations with the PVL Algorithm," IEEE Trans. on Circuits and systems, vol. 43, no. 8, pp. 577-585, Aug. 1996.

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