MaxEnt power spectrum estimation using the Fourier transform for irregularly sampled data applied to a record of stellar luminosity

@article{Johnson2012MaxEntPS,
  title={MaxEnt power spectrum estimation using the Fourier transform for irregularly sampled data applied to a record of stellar luminosity},
  author={R. W. Johnson},
  journal={Astrophysics and Space Science},
  year={2012},
  volume={338},
  pages={35-48}
}
  • R. W. Johnson
  • Published 2012
  • Physics
  • Astrophysics and Space Science
  • The principle of maximum entropy is applied to the spectral analysis of a data signal with general variance matrix and containing gaps in the record. The role of the entropic regularizer is to prevent one from overestimating structure in the spectrum when faced with imperfect data. Several arguments are presented suggesting that the arbitrary prefactor should not be introduced to the entropy term. The introduction of that factor is not required when a continuous Poisson distribution is used for… CONTINUE READING
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    References

    SHOWING 1-10 OF 25 REFERENCES
    Maximum entropy analysis of oversampled data problems
    • 169
    Least-squares frequency analysis of unequally spaced data
    • 3,386
    • PDF
    A gridding algorithm for efficient density compensation of arbitrarily sampled Fourier-domain data
    • 8
    • PDF
    Classic Maximum Entropy
    • 235
    • Highly Influential
    A fast algorithm for Chebyshev, Fourier, and sinc interpolation onto an irregular grid
    • 60
    • PDF
    Iterative algorithms in irregular sampling: a first comparison of methods
    • 37
    • PDF
    The incomplete Γ function as a continuous poisson distribution
    • 13
    Entropy and Sunspots: Their Bearing on Time-Series
    • 7
    • Highly Influential
    Comparison of Approximate Methods for Handling Hyperparameters
    • D. MacKay
    • Computer Science, Mathematics
    • Neural Computation
    • 1999
    • 276
    • PDF