On the Simulation of Harmonically Related Signals

Abstract

Narrowband harmonically related signals, embedded in broadband noise and other unrelated signals, occur in specific applications. To study these signals and to evaluate techniques for their discernment, it is convenient to model or simulate harmonically related signals in the laboratory. A means of accomplishing this task on a conventional digital computer is developed in discrete algorithm format. The resulting simulator uses parameters that allow one to select the mean frequency and harmonic ratio of the signals and to control both the extent and autocorrelation (or power spectral density) of the random signal-frequency fluctuations. Broadband noise and other nonharmonically related signals may also be accommodated in the simulator concept. Examples, using the algorithm, demonstrate its performance and its conformance with theoretical predictions. Conclusions: A relatively simple algorithm is formulated to simulate harmonically related narrowband signals with random frequency fluctuations in discrete format on a digital computer. Signal parameters are incorporated into the algorithm to select the signal mean frequencies and to control both the spectral bounds and the autocorrelation (or power spectral density) of the signal fluctuations. Examples, using the algorithm, demonstrate the performance of the signal simulator and its conformance with theoretical predictions. Keywords: Signal processing, Signal simulation, Harmonic correlation.

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Document Details

Document Type
Technical Report
Publication Date
Jun 27, 1988
Accession Number
ADA197821

Entities

People

  • Albert A. Gerlach
  • Edward L. Kunz
  • Kenneth D. Flowers
  • Wendell L. Anderson

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Amplitude
  • Autocorrelation
  • Bandwidth
  • Broadband
  • Computers
  • Data Science
  • Digital Computers
  • Distribution Functions
  • Filters
  • Frequency
  • Gaussian Distributions
  • Information Science
  • Narrowband
  • Probability
  • Simulations
  • Simulators

Fields of Study

  • Engineering

Readers

  • Approximation Theory.
  • Instructional Design and Training Evaluation.
  • Radar Systems Engineering.