CATEGORIZATIONS AND REALIZATIONS OF POSITIVE REAL AND BIQUADRATIC IMMITTANCE FUNCTIONS

Abstract

It is shown that a positive real immittance function F(s) is of one of eight categories. The category can be recognized by the sign polarities of three test values that are functions of the coefficients of F(s). If F(s) is of a certain category, then 1/F(s) can only be of some other categories. According to the categories of F(s) and 1/F(s) the immittance function can be realized (1) either by an RC or an RL network with positive elements, (2) by an RLC network with exclusively positive elements and an equivalent model circuit, or (3) only by model circuits. A model circuit is an RLC ladder structure with one negative branch element. The RC, RL, RLC, and model circuits have several equivalences.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1966
Accession Number
AD0634764

Entities

People

  • Kurt H. Haase

Organizations

  • Air Force Cambridge Research Laboratories

Tags

Communities of Interest

  • Advanced Electronics
  • C4I

DTIC Thesaurus Topics

  • Air Force
  • Capacitance
  • Circuits
  • Coefficients
  • Equations
  • Equivalent Circuits
  • First Order Circuits
  • Frequency
  • Impedance
  • Inductance
  • Networks
  • Polarity
  • Quadratic Equations
  • Security
  • Test Methods
  • Two Dimensional
  • United States

Fields of Study

  • Mathematics

Readers

  • Microwave Engineering.
  • Plasma Physics.
  • Theoretical Analysis.