Rational delay functions based on continued-fraction expansion of e x
- 1 October 1970
- journal article
- Published by Institution of Engineering and Technology (IET) in Electronics Letters
- Vol. 6 (20) , 656-658
- https://doi.org/10.1049/el:19700454
Abstract
Rational approximations to the ideal delay function e−ts (where τ is the delay time, and s is the complex frequency) based on the continued fraction expansion (c.f.e.) of ex are studied in both the frequency and the time domains. Comparisons with other approximations show that the new approximations have the least ratios of rise time to delay time for the same order of the function and within certain tolerances of overshoot and undershoot in the step response.Keywords
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