DocumentCode :
1198263
Title :
Frequency Transformations in Filter Design
Author :
Papoulis, A.
Volume :
3
Issue :
2
fYear :
1956
fDate :
6/1/1956 12:00:00 AM
Firstpage :
140
Lastpage :
144
Abstract :
The problem of determining the possible functions 
, that will transform the amplitude characteristic 
of a given network to the amplitude characteristic ![A[\\varphi (y)]](/images/tex/11548.gif)
of another network, is considered. It is shown that the general form of these transformations is given by 
, where 
is a positive rational function of 
. The network function whose amplitude characteristic is is determined from the original network and the function . The concept of frequency transformations is used in filter design and network analysis; the Butterworth and Tchebycheff filters result as special forms of such transformations.
, that will transform the amplitude characteristic of a given network to the amplitude characteristic of another network, is considered. It is shown that the general form of these transformations is given by , where is a positive rational function of . The network function whose amplitude characteristic is is determined from the original network and the function . The concept of frequency transformations is used in filter design and network analysis; the Butterworth and Tchebycheff filters result as special forms of such transformations.Keywords :
Feedback amplifiers; Filters; Frequency; H infinity control; Network synthesis; Short circuit currents; Transfer functions;
fLanguage :
English
Journal_Title :
Circuit Theory, IRE Transactions on
Publisher :
ieee
ISSN :
0096-2007
Type :
jour
DOI :
10.1109/TCT.1956.1086291
Filename :
1086291
Link To Document :
