The-coefficient and pole-zero locations of a transfer function F(s) having m zeros and n poles may be determined by imposing a total of (m+n-l) conditions on the magnitude and phase of F(s) at the origin. If q of these conditions are used to adjust the first q even derivatives of the magnitude of F(s), then (m+n-l-q) conditions may be used to adjust the first (m+n-l-q) even derivatives of the phase slope.
By varying these indices m, n, and q, a family of functions may be obtained in which the Butterworth and Bessel-polynomial functions are special cases.
A new approach described in this thesis yields some transfer functions which have not been treated in the literature.
The step-function response is studied for the realizable solutions, and the relative merits of emphasizing flat magnitude and flat delay are compared. / Applied Science, Faculty of / Electrical and Computer Engineering, Department of / Graduate
| Identifer | oai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/40085 |
| Date | January 1963 |
| Creators | Riml, Otfried Carl |
| Publisher | University of British Columbia |
| Source Sets | University of British Columbia |
| Language | English |
| Detected Language | English |
| Type | Text, Thesis/Dissertation |
| Rights | For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use. |
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