By Topic

Operational Calculus without Transforms

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

1 Author(s)
Gadsden, Christopher P. ; Department of Electrical Engineering, Tulane University, New Orleans, La.

An operational calculus is outlined that enables the determination of the response of any lumped circuit to a general waveform. It is based on elementary notions of operator algebra (sum, product, and inversion of operators) and is rigorously deducible. All processes are carried out in the time domain, no transform or complex-variable theory being needed. The operators turn out to correspond to superposition integrals of impulse responses. Steady-state theory is derived easily as a special case. In particular, the response to any periodic waveform can be calculated by integrations over a single period and is a distinct improvement over the use of Fourier series or Laplace transforms for this problem. The analog of the calculus in the frequency domain is shown to correspond to the use of the bilateral Laplace transformation.

Published in:

Education, IRE Transactions on  (Volume:E-5 ,  Issue: 3 & 4 )