THE SYNTHESIS OF MINIMUM SENSITIVITY NETWORKS
Abstract
The synthesis of networks with minimum sensitivity to element tolerances is studied from a computer viewpoint. The theory of equivalent networks is used to generate a sequence of networks whose transfer functions are identical to that of a given network but whose elements differ from one network to the next by an incremental amount. In the limit, differential equations result whose solution at any value of the independent variable give the elements of an equivalent network. Similarly, differential equations for the sensitivity of the transfer function to changes in each of the elements are derived. The differential equations in both cases are linear homogeneous with the elements of the transformation matrix as the forcing functions. With the aid of the exponential solution to the matrix differential equation, digital computer solution even for complex networks is very straightforward and rapid.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 21, 1963
- Accession Number
- AD0296990
Entities
People
- A. D. Waren
- James D. Schoeffler