Simplification of thez-transfer function via Padé approximation of the squared-magnitude function
- 1 January 1986
- journal article
- research article
- Published by Taylor & Francis in International Journal of Systems Science
- Vol. 17 (1) , 193-199
- https://doi.org/10.1080/00207728608926796
Abstract
A method based on approximating the squared-magnitude function in the bilinear-transformed domain is presented for the simplification of z-transfer functions. In order to guarantee that the initial output response of the simplified model is the same as that of the original system, the bilinear transformation is performed on the numerator and the denominator polynomials or the z-transfer function itself. The main advantage of the method is that it may give a satisfactory approximation while preserving the stability and minimum-phase characteristics.Keywords
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