Statistical Analysis of a Class of IF Correlator: FM Ranging Systems

Abstract

A statistical analysis technique for obtaining range responses of IF- correlator FM ranging systems is described under the assumptions of slowly varying, high-index frequency modulation and small propagation delays. It is shown that the range response for a system is determined by the functional relationship between modulation and reference and the envelope of the transmitted power spectrum, which (under the high-index FM assumption) is proportional to the first-order probability density of the modulation. Since statistical techniques are used, time/frequency domain analysis of the IF signal is not required and FM/FM systems or systems which use random modulations are conveniently analyzed. The range response is derived in terms of a sum of weighted quasi-autocorrelation functions which have been translated along the delay axis. The displacements and weightings depend on the harmonic series which describes the IF reference as a function of the frequency modulation.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1974
Accession Number
ADA002011

Entities

People

  • Barry G. Mattox
  • Marion C. Bartlett

Organizations

  • University of Florida

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Autocorrelation
  • Correlation Techniques
  • Correlators
  • Data Science
  • Demodulation
  • Frequency
  • Frequency Modulation
  • Information Science
  • Modulation
  • Modulators
  • Power Spectra
  • Probability
  • Range Finding
  • Spectra
  • Statistical Analysis
  • Statistics
  • Waveform Generators

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Radio communications and signal processing.
  • Regression Analysis.