Given a transfer function for a differential equation model, an approach for obtaining a solution is by way of bilinear transformation. The bilinear transform approach is a numerical integration scheme which gives a discrete approximation to the differential equation solution. BILIN applies a series of polynomial transformations to the transfer function H(s). As a result, H(s) is mapped into the complex z plane obtaining the discrete transfer function H(z). From H(z), the difference equation is obtained whose solution y(nT) approximates the actual differential solution y(t). Hence, BILIN provides a means for obtaining discrete transfer functions for the design of digital filters and/or solving linear time-invariant differential equations.
Identifer | oai:union.ndltd.org:ucf.edu/oai:stars.library.ucf.edu:rtd-1485 |
Date | 01 July 1980 |
Creators | Greer, John Dana |
Publisher | University of Central Florida |
Source Sets | University of Central Florida |
Language | English |
Detected Language | English |
Type | text |
Format | application/pdf |
Source | Retrospective Theses and Dissertations |
Rights | Public Domain |
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