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Harmonic analysis method based on multi-stage frequency correction.

Chuan Huang1, Shulin Tian1, Kuojun Yang1

  • 1School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, People's Republic of China.

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Summary
This summary is machine-generated.

This study introduces a new frequency correction framework to accurately measure harmonic and interharmonic components in digital oscilloscopes, significantly improving accuracy and robustness in spectral analysis.

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Area of Science:

  • Electrical Engineering
  • Signal Processing
  • Measurement Science

Background:

  • Noncoherent sampling in digital storage oscilloscopes causes spectral leakage and picket-fence effects.
  • These effects lead to biased harmonic parameter estimates and obscure weak signal components.

Purpose of the Study:

  • To develop a robust multi-stage frequency-correction framework for accurate harmonic and interharmonic analysis.
  • To enhance the reliability of oscilloscope-resident measurements under noncoherent sampling conditions.

Main Methods:

  • A multi-stage framework involving spectral domain screening, fitness-guided frequency refinement, least-squares estimation, and iterative reconstruct-subtract procedures.
  • Heterogeneous CPU-GPU implementation for parallel processing of interval extraction and fitness evaluations.

Main Results:

  • Achieved mHz-level maximum absolute frequency error, a >37x improvement over windowed FFT baseline.
  • Attained accuracy comparable to MUSIC without sensitive parameter selection.
  • Reduced weak-component amplitude error from tens of percent to 0.2% in challenging scenarios.

Conclusions:

  • The proposed framework offers superior frequency accuracy and robustness for harmonic/interharmonic analysis compared to existing methods.
  • Enables reliable oscilloscope-resident measurements with a tunable accuracy-cost trade-off.