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
Pages
19 p.
Language
English
Rights
Public Domain
Length of Campus-only Access
None
Access Status
Masters Thesis (Open Access)
Identifier
DP0013313
Subjects
Filters (Mathematics)
STARS Citation
Halpern, Peter H., "Optimum Monotonic Step Response Filters" (1980). Retrospective Theses and Dissertations. 489.
https://stars.library.ucf.edu/rtd/489
Contributor (Linked data)
Simons, Fred O. [VIAF]
University of Central Florida. College of Engineering [VIAF]
Collection (Linked data)
Accessibility Status
Searchable text