Scheduled System Maintenance:
On Wednesday, July 29th, IEEE Xplore will undergo scheduled maintenance from 7:00-9:00 AM ET (11:00-13:00 UTC). During this time there may be intermittent impact on performance. We apologize for any inconvenience.
By Topic

A Solution to the Approximation Problem for RC Low-Pass Filters

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Su, K.L. ; Georgia Institute of Technology, Atlanta, Ga. ; Dasher, B.J.

This paper presents a method for investigating the transfer functions of RC low-pass networks. The procedure involves the use of the concept of potential analogy and the technique of conformal transformation. The poles and zeros are arranged in a certain symmetrical fashion in the transformed plane and on this plane the frequency characteristic may be written in closed form. The frequency characteristics obtained by this method have equal-ripple variation inside the pass band. By mathematical manipulations, the several quantities that are essential in describing the quality of each frequency characteristic; i. e., the pass-band tolerance, the stopband-passband ratio and the stop-band attenuation, may be expressed in terms of several geometrical quantities in the transformed plane and the parameters of the transformation function. Thus, the design of this group of network functions may be accomplished by adjusting the geometric dimensions in the transformed plane and the transformation functions. The transformation used here is a function that involves elliptic functions. Some design charts which are helpful in the selections of these values are given.

Published in:

Proceedings of the IRE  (Volume:44 ,  Issue: 7 )