By Topic

Application of Fourier Transforms to Variable-Frequency Circuit Analysis

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
$33 $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

1 Author(s)
A. G. Clavier ; Federal Telecommunication Laboratories, Inc., Nutley, N.J.

Fourier transforms are very valuable for the analysis of the behavior of passive circuits when the driving force is frequency modulated. The output current or voltage is expressed in the form of a convolution integral, which can lead either to the expansion given by Carson and Fry or, preferably, to the van der Pol expansion in terms of the values of the transfer admittance or impedance for the instantaneous frequency, and its derivatives. The proof given here lends itself to a discussion of the conditions for convergency. In certain cases, the convolution integral can be directly expressed in terms of known functions: this is the case, for instance, for broadband FM line discrimnators, an analysis of which is given.

Published in:

Proceedings of the IRE  (Volume:37 ,  Issue: 11 )