Approximate spectral analysis by least-squares fit

  title={Approximate spectral analysis by least-squares fit},
  author={Petr Vaníček},
  journal={Astrophysics and Space Science},
  • P. Vaníček
  • Published 1 August 1969
  • Mathematics
  • Astrophysics and Space Science
An approximate method of spectral analysis called ‘successive spectral analysis’ based upon the mean-quadratic approximation of an empirical function by generalised trigonometric polynomial with both unknown frequencies and coefficients is developed. A few quotations describing some properties of the method as well as one of the possible methods for numerical solution are given. 
Further development and properties of the spectral analysis by least-squares
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Variance of the nonlinear least squares estimate of the frequency separation of two complex exponents
  • M. Kagalenko
  • Mathematics
    2014 3rd Mediterranean Conference on Embedded Computing (MECO)
  • 2014
This work presents the asymptotic expressions for bias and variance of nonlinear least squares estimate of the frequency separation of two complex exponents with additive stationary Gaussian noise that are valid for all values of frequency.
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