Optimum Signals and the Uncertainty Principle,

Abstract

The problem of finding an optimal signal g(t) which satisfies certain constraints in both the time and frequency domains is examined. Relying on the theory of entire functions, a general representation of g(t) in terms of prolate spheroidal wave functions is obtained which reduces the problem to the solution of a nonlinear integral equation. Particular examples illustrating the solution procedure are discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 15, 1970
Accession Number
AD0714280

Entities

People

  • Victor Barcilon

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Equations
  • Frequency
  • Frequency Domain
  • Integral Equations
  • Integrals
  • Mathematics
  • Uncertainty
  • Uncertainty Principle
  • Wave Functions

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Systems Analysis and Design