Computation of time domain response by numerical inversion of the Laplace transform |
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| Authors: | Kishore Singhal Jiri Vlach |
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| Institution: | Department of Electrical Engineering University of Waterloo, Waterloo, Ontario, Canada |
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| Abstract: | A new method for the calculation of time responses of lumped time invariant networks is presented. It is based on the numerical inversion of the Laplace transform and involves the computation of the frequency domain function at pre-assigned complex points and forming a weighted sum. The method exactly inverts a certain number of terms of the Taylor expansion of the time response and is thus equivalent to the methods used for the integration of differential equations. This equivalence is established on two examples. The order of integration can be changed between 1 and 46 without any difficulty. Additional properties resulting from the application of the numerical Laplace transform inversion are also discussed and some novel applications indicated. |
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