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Bilin: A Bilinear Transformation Computer Program And Its Applications, John Dana Greer
Bilin: A Bilinear Transformation Computer Program And Its Applications, John Dana Greer
Retrospective Theses and Dissertations
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 …