Discrete-time signal processing
Discrete-time signal processing
Wavelets: theory and applications
Wavelets: theory and applications
Stabilizing the Richardson eigenvector algorithm by controlling chaos
Computers in Physics
Computer-Aided Analysis of Electronic Circuits: Algorithms and Computational Techniques
Computer-Aided Analysis of Electronic Circuits: Algorithms and Computational Techniques
International Journal of Circuit Theory and Applications
Existence condition of state equations of linear active networks over F(z)
International Journal of Circuit Theory and Applications
Efficient dominant eigensystem computation using nodal equations
International Journal of Circuit Theory and Applications
OTA-based transmission line model with variable parameters for analog power flow computation
International Journal of Circuit Theory and Applications
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This paper reviews and compares the computational cost of several methods to analytically obtain the natural response of linear time-invariant (LTI) circuits. In particular, the analysis is focused on three methods: eigensystem-based procedure, Vandermonde matrix method and Lagrange interpolation formula. The computational cost of repeated solutions, in which only the initial conditions change, is also studied. Finally, the computational cost of the eigensystem-based approach, the winner of the analytical class of methods, is compared with that of the numerical integration approach for different number of integration steps and scenarios. Copyright © 2010 John Wiley & Sons, Ltd.