In this dissertation, positive-real conformal transformations
are used to develop synthesis procedures for the
realization of driving-point immittance functions by exponentially-
tapered distributed RC networks. These synthesis
procedures include the realization by uniform distributed RC
networks as a special case.
New equivalent circuits are developed for the exponentially-
tapered distributed RC network. These differ from
the equivalent circuits for the uniform distributed RC network
through the presence of positive and negative lumped elements
and ideal transformers.
It is found that the lumped elements must be eliminated
from the equivalent circuits developed for exponentially tapered
distributed RC networks before it is possible to apply
a positive-real conformal transformation to change the synthesis
problem into a lumped LC synthesis problem. Hence, through
Richards Theorem, a cascade synthesis procedure for the realization
of driving-point immittance functions is developed.
Various cascade network realizations are presented. Additional
distributed RC sections are used in these realizations to compensate
for the lumped elements in the equivalent circuits.
Before the synthesis procedure can be applied, it is
necessary to approximate any specified driving-point immittance
function by a function that is realizable by one of the network
configurations presented. A digital computer with plotting
facilities is deemed necessary for this purpose. / Applied Science, Faculty of / Electrical and Computer Engineering, Department of / Graduate
| Identifer | oai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/41200 |
| Date | January 1966 |
| Creators | Chinn, Henry Ronald |
| Publisher | University of British Columbia |
| Source Sets | University of British Columbia |
| Language | English |
| Detected Language | English |
| Type | Text, Thesis/Dissertation |
| Rights | For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use. |
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