A STUDY OF LIMITATIONS ON THE CHARACTERISTICS OF NETWORK FUNCTIONS,

Abstract

An investigation is made of the general form of the limitations imposed on driving point and transfer immittances when some part of the input circuit of a network is fixed. The limitations are found to be bounds on the real and imagi nary parts of the functions at points in the right half plane. At certain specific frequen cies determined by the fixed part of the net work, the values of the immittance function and some of its derivatives are fixed. These limi tations on the values of immittance functions at points in the right half plane are then ex pressed in terms of integrals of the function along the imaginary axis by means of Cauchy's integral formula. The limitations on integrals are utilized to find limitations on the charac teristics of ideal immittance functions. Several examples are given to illustrate the use of these limitations. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 15, 1963
Accession Number
AD0418706

Entities

People

  • J.d. Patterson

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Integrals

Readers

  • Calculus or Mathematical Analysis
  • Microwave Engineering.
  • Snow Cover Descriptors for Reptiles and Their Illustrations.