The Application of the Filter Diagonalization spectral estimator to Helioseismology. 

Lead Investigator:  Andrew R. Jones  (1)
Team Members:       Werner Dappen    (1)
                    Chia-Hsien Lin   (1)
                    Junwei Zhao      (1)
                    Howard S. Taylor (2)
                    Dzevad Belkic    (2)
 

Introduction:

Filter Diagonalization (FD) is a non linear spectral estimator method developed at USC. This method has proved to provide higher spectral resolution (in a limited spectral range) than traditional Fourier  transform (FT) techniques.
 

Technical summary:

We propose to use LOI data as a step in proving the FD and FD-FT hybrid  methods for use in helioseismology. The LOI data is an ideal `next step' after our initial tests on artificial data showed promise. The LOI data provides a very high quality, low noise, uninterrupted data set which requires very little pre processing before spectral estimation.

This work is intended as a pilot study to provide evidence of the usefulness of the technique before applying for grants to make a more detailed study of the use of FD methods in helioseismology.
 

References:

V.A. Mandelstham and H.S. Taylor: "Harmonic Inversion of Time Signals and its Applications",
J.Chem.Phys. 107  6756 (1997).

 
1) Department of Physics and Astronomy
      University of Southern California
      Los Angeles

      CA 90089-0408
(2) Department of Chemistry
      University of Southern California
      Los Angeles

      CA 90089-0482