Improving the efficiency of Laplace-transform inversion for network analysis

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Improving the efficiency of Laplace-transform inversion for network analysis

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© The Institution of Electrical Engineers
Published

An efficient method is indicated for inverting Laplace transforms using the fast Fourier transform. Sources of error are identified as well as the manner in which the parameters involved control them. It is shown how weighting of the Fourier coefficients can be used to improve numerical efficiency.

Inspec keywords: fast Fourier transforms; Laplace transforms; time-domain analysis

Subjects: General circuit analysis and synthesis methods

References

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      • Silverberg, M.: `Numerical solution of distributed networks containing nonlinear elements', May 1967, Doctoral dissertation, Columbia University, Department of Electrical Engineering.
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      • H. Dubner , J. Abate . Numerical inversion of Laplace transforms by relating them to the finite Fourier cosine transform. J. Assoc. Comput. Mach. , 115 - 123
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