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Related Experiment Videos

A generalized approach to random noise synthesis: theory and computer simulation.

K D Hsueh1, R P Hamernik

  • 1Auditory Research Laboratories, State University of New York, Plattsburgh 12901.

The Journal of the Acoustical Society of America
|March 1, 1990
PubMed
Summary

A new method synthesizes diverse random noises and impulsive signals by manipulating phase spectra. This technique allows tailoring signals from Gaussian to purely impulsive, matching specific amplitude spectra for various applications.

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Area of Science:

  • Signal Processing
  • Acoustics and Vibrations
  • Statistical Signal Analysis

Background:

  • Random noise and impulsive signals are crucial in many fields, including acoustics and vibration analysis.
  • Existing synthesis methods often lack flexibility in controlling statistical properties while maintaining a specific amplitude spectrum.

Purpose of the Study:

  • To develop a generalized approach for synthesizing Gaussian, non-Gaussian, and impulsive waveforms with a preselected amplitude spectrum.
  • To demonstrate the ability to control statistical characteristics of synthesized signals by manipulating phase spectra.

Main Methods:

  • Constructing time-domain waveforms from frequency-domain amplitude and phase spectra.
  • Maintaining a reference amplitude spectrum while manipulating the phase spectrum within selected frequency bands.

Related Experiment Videos

  • Applying the inverse discrete Fourier transform (IDFT) to generate waveforms.

    • Main Results:

    • Successful synthesis of signal families with identical energy spectra but varying statistical properties (Gaussian, non-Gaussian, impulsive).
    • Demonstrated functional relationships between phase spectrum manipulations and noise descriptors like skewness, kurtosis, and crest factor.
    • Numerical simulations confirmed the viability of the approach for tailoring signals.

    Conclusions:

    • The developed method provides a flexible and viable approach for synthesizing a wide range of random and impulsive signals.
    • Synthesized waveforms can accurately simulate real-world acoustic and vibration signals, such as industrial noise and missile vibrations.
    • This technique offers significant potential for applications requiring precisely characterized signal generation.