ANALOG COMPUTER TECHNIQUES FOR PROBLEMS IN COMPLEX VARIABLES,

Abstract

By programming pairs of amplifiers to represent the real and imaginary parts of complex variables on an analog computer, techniques are developed which (1) permit the mechanization of the method of steepest descents, for finding roots of complex functions, in Cartesian coordinates; (2) simplify the generation of square-root and division circuits; (3) allow the generation of complex functions utilizing the Cauchy integral theorem; and (4) enable a programmer to scan the z-plane efficiently when electronic mode control and track-andhold circuitry are available. The report is documented with examples which show that these techniques frequently provide more efficient programs, in terms of equipment, than current methods. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 30, 1964
Accession Number
AD0609733

Entities

People

  • Arthur Hausner

Organizations

  • Harry Diamond Laboratories

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Amplifiers
  • Analog Computers
  • Cartesian Coordinates
  • Complex Variables
  • Computer Programming
  • Computers
  • Demographic Cohorts
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Mechanization
  • Square Roots
  • Theorems

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Approximation Theory.
  • Integrated Circuit Design and Technology.

Technology Areas

  • Microelectronics