Abstract
The effects of the spatial filtering algorithm on the results of an inversion of high-degree solar oscillation data are examined. In attempting to isolate sectoral modes, the Fourier transforms in longitude are accompanied by three different spatial filterings in the orthogonal direction. The filters are: simple averaging in the plane of the sky, averaging along lines of constant heliographic longitude with uniform weighting, and another with weighting based on appropriate Legendre functions. The choice of spatial filter changes the distribution of power in the two-dimensional spectrum of the oscillations, particularly in the f and p 1 ridges. These variations in the power distribution affect the determination of the rotational splittings, thereby influencing the results of inversions which emphasize information contained in the low-order ridges.
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Haber, D.A., Hill, F., Toomre, J. (1991). Effects of spatial filtering on high-ℓ power spectra and rotational splitting inversions. In: Gough, D., Toomre, J. (eds) Challenges to Theories of the Structure of Moderate-Mass Stars. Lecture Notes in Physics, vol 388. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54420-8_75
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DOI: https://doi.org/10.1007/3-540-54420-8_75
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