An analysis of the (n-1,n) pad ̌approximant to the ideal delay operator in terms of Bessell functions.

Author

Carl Richard Erdmann

Abstract

"A realizable, lowpass, non-minimum phase approximation to the ideal distortion less delay operator e^-st₀ is analyzed in terms of the Bessel functions. The characteristics of the first ten members of the approximation are explicitly considered in this paper. The approximation is demonstrated to be realizable for all orders. Amplitude and phase characteristics are described in relation to the ideal delay operator in compact form and in terms of existing ii tabulated functions. Both amplitude and delay bandwidths are characterized by simple and accurate approximations. The maximally flat properties of both amplitude and delay responses are demonstrated. The transient response to a unit step is also discussed"-- Abstract, p. ii

Advisor(s)

Bertnolli, Edward C.

Committee Member(s)

Crosby, Herbert A., 1926-1992
Haddock, Glen

Department(s)

Electrical and Computer Engineering

Degree Name

M.S. in Electrical Engineering

Publisher

University of Missouri--Rolla

Publication Date

1974

Pagination

vii, 78 pages

Note about bibliography

Includes bibliographical references (page 77)

Rights

© 1974 Carl Richard Erdmann, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Thesis Number

T 3093

Print OCLC #

6019664

Recommended Citation

Erdmann, Carl Richard, "An analysis of the (n-1,n) pad ̌approximant to the ideal delay operator in terms of Bessell functions." (1974). Masters Theses. 3386.
https://scholarsmine.mst.edu/masters_theses/3386