Fast calculation of signal delay in RC-circuits based on Laguerre functions
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I. A. Karaseva
Abstract
Linear systems of ordinary differential and algebraic equations modelling passive integral circuits consisting of resistors and capacitors (RC-circuits) are considered. A method for the fast calculation of signal delay is such circuits is proposed. For this purpose, the input signal is approximated by several first Laguerre functions and the output of the system is obtained in the form of a sum of several Laguerre functions and one of the eigenvalues of the matrix pencil corresponding to the system (spectral correction of the solution). For the case of approximation of the input and output signals by two Laguerre functions, criteria are proposed for a priori determination whether sufficiently good approximation is guaranteed for the particular system. Results of numerical experiments with industrial design tests are presented and discussed.
© de Gruyter 2011
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- Statistical simulation of an exponentially correlated many-dimensional random field
- Application of statistical methods for the study of kinetic model of traffic flow with separated accelerations
- Fast calculation of signal delay in RC-circuits based on Laguerre functions
- QTT approximation of elliptic solution operators in higher dimensions
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Articles in the same Issue
- The study and numerical solution of the inverse problem of heat flows in the ocean dynamics model based on ARGO buoys data
- Statistical simulation of an exponentially correlated many-dimensional random field
- Application of statistical methods for the study of kinetic model of traffic flow with separated accelerations
- Fast calculation of signal delay in RC-circuits based on Laguerre functions
- QTT approximation of elliptic solution operators in higher dimensions
- Probabilistic-algebraic algorithms of Monte Carlo methods
