By Topic

Two Network Theorems for Analytical Determination of Optimum-Response Physically Realizable Network Characteristics

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)
S. S. L. Chang ; Dept. of Elec. Engrg., New York University, New York 53, N.Y.

By a technique combining variational methods, contour integration, and the concept of analytic extension, two network theorems are derived which form the basis of a procedure for determining the physically realizable network characteristic which is the best compromise between conflicting requirements in the sense of least mean-square error or some other criterion of approximation selected by the designer and written into the variational problem. Both the specifications and the criterion for compromise may include functions which are given as curves versus frequency rather than explicit functions of frequency. The Wiener-Kolmogoroff theory of smoothing and prediction and the vestigial sideband filter with linear phase shift are included as illustrative application problems. For the former an alternative derivation in the frequency domain as well as a simpler procedure for numerical computations are given. For the latter a criterion for selecting the constant slope of the phase characteristic is derived in addition to providing the procedure for computing the optimum response filter.

Published in:

Proceedings of the IRE  (Volume:43 ,  Issue: 9 )