OPTIMIZATION OF SIGNALS

Abstract

A general theory is presented for the design of optimum signal waveforms. Explicit constraints on the signal's energy, amplitude and bandwidth are possible. The development is based on optimum control theory and employs the state variable concept with differential equations as basic models. Pontryagin's Maximum Principle provides a two-point boundary value problem whose solution gives the optimum signal. A communication problem of deciding which of M signals was transmitted and a radar problem of deciding the range rate of a target are used as examples.

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Document Details

Document Type
Technical Report
Publication Date
Jan 16, 1964
Accession Number
AD0430345

Entities

People

  • F. C. Schweppe

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Calculus
  • Calculus Of Variations
  • Computers
  • Control Theory
  • Differential Equations
  • Equations
  • Frequency
  • Gaussian Processes
  • Markov Processes
  • Modulation
  • Partial Differential Equations
  • Probability
  • Radar
  • Random Variables
  • Stochastic Processes
  • White Noise

Readers

  • Calculus or Mathematical Analysis
  • Operations Research
  • Radar Systems Engineering.