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Related Experiment Videos

The noise conversion method for oscillatory systems.

Yuriy S Shmaliy1

  • 1Guanajuato University, Salamanca, Gto 36730, Mexico. shmaliy@salamanca.ugto.mx

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
|September 4, 2004
PubMed
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This study presents a novel method to calculate power spectral density (PSD) functions for oscillatory systems using intrinsic noise sources and transformation coefficients, simplifying analysis without differential equations.

Area of Science:

  • Electrical Engineering
  • Physics
  • Signal Processing

Background:

  • Oscillatory systems like resonators and filters are fundamental in signal processing.
  • Understanding their noise characteristics, specifically power spectral density (PSD), is crucial for performance analysis.
  • Traditional methods often rely on complex differential equations.

Purpose of the Study:

  • To introduce a new method for calculating amplitude and phase PSD functions.
  • To enable analysis of specific PSD ranges without differential equations.
  • To provide a systematic approach for both scalar and vector noise sources.

Main Methods:

  • Calculating PSD functions from intrinsic noise source PSDs and transformation coefficients.
  • Systematic description for scalar and vector noises.

Related Experiment Videos

  • Derivation of noise transformation coefficients for a piezoelectric series branch, neglecting static capacity.

    • Main Results:

    • A method is established for determining amplitude and phase PSD functions.
    • Rules for shaping PSD functions are clarified.
    • The method is demonstrated using a piezoelectric series branch model.

    Conclusions:

    • The developed method offers a simplified approach to analyzing PSD functions of oscillatory systems.
    • It avoids the need for differential equations, making analysis more accessible.
    • This technique is valuable for studying specific finite ranges of PSD functions.