Theory and Applications of Correlation Techniques

Abstract

This report is a survey of the important principles of correlation theory, as applicable to the statistical analysis of communication systems. The underlying theory of correlation functions and their relations to the power-density-spectrum is presented. Linear systems, excited by random inputs, are analyzed and describing relations are developed from the correlation functions. Corresponding frequency domain relations in terms of the power-density spectrum are also developed. The mean-square-error as a design criterion is presented both from a general and a specificviewpoint. The specific approach is a problem which entails the excitation of a linear system by a message corrupted by noise. It is shown how the general development for the mean-square-error reduces to the specific problem presented.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1961
Accession Number
AD0270272

Entities

People

  • Paul H Haas

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Autocorrelation
  • Closed Loop Systems
  • Communication Systems
  • Control Systems
  • Convolution
  • Convolution Integrals
  • Correlation Techniques
  • Cross Correlation
  • Electrical Engineering
  • Energy Density
  • Engineering
  • Equations
  • Frequency Domain
  • Integral Equations
  • Linear Systems
  • Periodic Functions
  • Power Spectra
  • Probability
  • Statistical Analysis
  • United States

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Computational Modeling and Simulation