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.
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Simons, Fred O., Jr.
Master of Science (M.S.)
College of Engineering
iv, 19 pages
Length of Campus-only Access
Masters Thesis (Open Access)
Halpern, Peter H., "Optimum Monotonic Step Response Filters" (1980). Retrospective Theses and Dissertations. 489.