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

PDF

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

Collection (Linked data)

Retrospective Theses and Dissertations

Accessibility Status

Searchable text

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Engineering Commons

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