Keywords
BILIN, Computer file, Digital filters, Mathematics, Tustin (bilinear) transformation, S-to-z mapping of transfer functions, Discrete-time difference equations, Digital filter design and implementation, Numerical solution of linear time-invariant differential equations
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.
Notes
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Graduation Date
Summer 1980
Advisor
Simons, Fred O.
Degree
Master of Science (M.S.)
College
College of Engineering
Format
Pages
24 pages
Language
English
Rights
Public Domain
Length of Campus-only Access
None
Access Status
Masters Thesis (Open Access)
Identifier
DP0013418
Subjects
BILIN (Computer file); Digital filters (Mathematics); Bilinear transformation method; Transfer functions--Computer programs; Differential equations, Linear--Numerical solutions--Computer programs; Digital filters (Mathematics)--Computer programs; Linear control systems--Computer programs
STARS Citation
Greer, John Dana, "BILIN: a Bilinear Transformation Computer Program and its Applications" (1980). Retrospective Theses and Dissertations. 486.
https://stars.library.ucf.edu/rtd/486
Contributor (Linked data)
Simons, Fred O. [VIAF]
University of Central Florida. College of Engineering [VIAF]
Collection (Linked data)
Accessibility Status
Searchable text
Included in
Accessibility Statement
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