BILIN, Computer file, Digital filters, Mathematics
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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Simons, Fred O., Jr.
Master of Science (M.S.)
College of Engineering
iii, 24 pages
Length of Campus-only Access
Masters Thesis (Open Access)
BILIN (Computer file), Digital filters (Mathematics)
Greer, John Dana, "BILIN: a Bilinear Transformation Computer Program and its Applications" (1980). Retrospective Theses and Dissertations. 486.