Keywords

Filters, Mathematics

Abstract

The problem of designing sharp cutoff filters with monotonic step responses is addressed. The impulse responses of the filters are expanded in terms of finite duration trigonometric polynomials. The coefficients of the trigonometric polynomials are obtained, for arbitrary frequency penalty functions, by solving a generalized eigenvalue problem. Once the trigonometric polynomial is specified the network can be synthesized with known techniques. Two theorems which assist in the numerical solution are proven.

Notes

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Graduation Date

Spring 1980

Advisor

Simons, Fred O.

Degree

Master of Science (M.S.)

College

College of Engineering

Format

PDF

Pages

iv, 19 pages

Language

English

Rights

Public Domain

Length of Campus-only Access

None

Access Status

Masters Thesis (Open Access)

Identifier

DP0013313

Subjects

Filters (Mathematics)

Collection (Linked data)

Retrospective Theses and Dissertations

Included in

Engineering Commons

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