BILIN: a Bilinear Transformation Computer Program and its Applications
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| Title: | BILIN: a Bilinear Transformation Computer Program and its Applications |
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| Authors: | Greer, John Dana |
| Committee Members: | Simons, Fred O.; Fred O. Simons (Q59968700)Simons, Fred O. [VIAF]University of Central Florida. College of Engineering [VIAF]University of Central Florida. College of Engineering [LC] |
| Summary: | 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. |
| URL: | https://stars.library.ucf.edu/rtd/486 |
| Database: | OpenDissertations |
| Abstract: | 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. |
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