"This thesis is concerned with the design of the Tchebychev elliptic function filter. The Darlington synthesis procedure is discussed and salient points from Darlington's paper needed for the design of this filter are presented.
It is shown that the design of the Tchebychev elliptic function filter requires a knowledge of the elliptic functions, particularly the elliptic sine. Since the use of these functions is not common, a brief review of their properties is presented.
Using the elliptic functions, a development of the equations describing the behavior of the Tchebychev elliptic function filter is given for the case of a normalized low pass filter. It is shown that all the formulae are in terms of elliptic functions.
This is not desirable because elliptic function tables are double entry tables requiring two interpolations to use them. It is better to represent these equations in some form not utilizing elliptic functions, and approximations for the elliptic sine are introduced in the form of infinite series. These series converge rapidly, requiring only a few terms, and the necessity for the elliptic function tables is circumvented.
To further reduce the design labor, a graphical solution method is presented; the graphs given will be sufficient for the design of a normalized loww-pass Tchebychev elliptic function filter for up to four stages. Should a particularly stringent design be required, there is sufficient information presented for the construction of other graphs"--Abstract, page 5.
Harden, Richard C.
Pagano, Sylvester J., 1924-2006
Betten, J. Robert
Chenoweth, Robert D.
Electrical and Computer Engineering
M.S. in Electrical Engineering
Missouri School of Mines and Metallurgy
77 pages, sections of graphs
© 1963 Gene S. Luckfield, All rights reserved.
Thesis - Open Access
Print OCLC #
Link to Catalog Record
Luckfield, Gene S., "A graphical solution method for the Tchebychev elliptic function filter" (1963). Masters Theses. 4444.