By Topic

Computation of the Transition Matrix of a Linear Sequential Circuit

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)
Scherba, M.B. ; Department of Electrical Engineering, Wayne State University ; Roesser, Robert P.

The general response of a linear sequential circuit involves a transition matrix in the form of a matrix A raised to a variable power. The power becomes arbitrarily high causing the direct computation of the transition matrix to become very cumbersome. This correspondence demonstrates that A, having finite-field elements, may be transformed into a matrix of real numbers. Known methods may then be applied to this real matrix to simplify computing a power of it. The result is then transformed back to the finite field which is the desired result However, numerical difficulties as mentioned in the conclusion prevent this method from being the final solution to the problem.

Published in:

Computers, IEEE Transactions on  (Volume:C-22 ,  Issue: 4 )