Multifrequency Pade approximation via Jordan continued-fraction expansion
- 1 April 1989
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 34 (4) , 444-446
- https://doi.org/10.1109/9.28019
Abstract
The multifrequency Pade approximation of transfer functions is performed via the Jordan-type continued-fraction expansion. An efficient algorithm that requires no complex algebra is derived for expanding a transfer function into a Jordan continued fraction about arbitrary points s=+or-j omega /sub j/ on the imaginary axis of the s-plane. Also derived is a forward inversion algorithm for inverting a multifrequency Jordan continued-fraction expansion into a rational form. The algorithms presented are amenable for obtaining a family of frequency-response matched models of different orders for a high-order transfer function via a single set of computations.Keywords
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