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Related Experiment Videos

Digital waveform generation by fractional addressing.

W M Hartmann1

  • 1Physics and Astronomy Department, Michigan State University, East Lansing 48824-1116.

The Journal of the Acoustical Society of America
|December 1, 1987
PubMed
Summary
This summary is machine-generated.

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This study introduces fractional addressing for digital oscillators, enabling high frequency resolution. A new theory explains and minimizes distortion, with symmetries useful for creating inharmonic signals.

Area of Science:

  • Digital Signal Processing
  • Waveform Generation
  • Harmonic Analysis

Background:

  • Digital oscillators use recycled sampled data from a fixed memory buffer.
  • Fixed output sample rates and buffer contents limit frequency resolution.
  • Fractional addressing offers high frequency resolution but introduces distortion.

Purpose of the Study:

  • To develop a theory for fractional addressing in digital oscillators.
  • To analyze and minimize distortion introduced by fractional addressing.
  • To explore the application of distortion symmetries for inharmonic signal generation.

Main Methods:

  • Development of a theory for fractional addressing, analogous to crystal diffraction.
  • Calculation of the distortion component spectrum.

Related Experiment Videos

  • Identification and analysis of symmetries within the distortion spectrum.

    • Main Results:

    • A theoretical framework for understanding fractional addressing distortion.
    • Methods for calculating the distortion spectrum and minimizing distortion.
    • Discovery of numerous symmetries in the distortion spectrum, including the gamma p symmetry theorem.

    Conclusions:

    • Fractional addressing distortion can be theoretically modeled and minimized.
    • Distortion symmetries offer pathways for generating inharmonic signals.
    • The gamma p symmetry theorem provides formulas for distortion levels and power.