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Research on Parameter Estimation Methods for Alpha Stable Noise in a Laser Gyroscope's Random Error.

Xueyun Wang1, Kui Li2, Pengyu Gao3

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Alpha stable noise, characterized by four parameters, impacts laser gyroscope errors. The empirical characteristic function (ECF) method accurately estimates these parameters, confirming alpha stable noise

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Area of Science:

  • Physics
  • Signal Processing
  • Data Analysis

Background:

  • Laser gyroscopes are susceptible to random errors.
  • Alpha stable noise, a non-Gaussian process, has been identified in these errors.
  • Accurate parameter estimation is crucial for understanding alpha stable noise.

Purpose of the Study:

  • To evaluate and compare three methods for estimating alpha stable noise parameters.
  • To identify the most accurate estimation method for laser gyroscope applications.
  • To verify the presence of alpha stable noise in laser gyroscope random errors.

Main Methods:

  • Comparison of quantile, empirical characteristic function (ECF), and logarithmic moment methods.
  • Monte Carlo simulations to assess estimation accuracy and conditions.
  • Application of the ECF method to experimental laser gyroscope data.

Main Results:

  • The ECF method demonstrated the highest estimation precision among the compared techniques.
  • Analysis revealed specific conditions leading to poor estimation accuracy for each method.
  • Experimental data showed a better fit with alpha stable distribution than Gaussian distribution.

Conclusions:

  • The ECF method is the most precise for estimating alpha stable noise parameters in laser gyroscopes.
  • Alpha stable noise is confirmed to exist in the random error of laser gyroscopes.
  • Understanding and characterizing this noise is vital for improving gyroscope performance.