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An optimal-dimensionality sampling scheme on the sphere with fast spherical harmonic transforms

Khalid, Zubair; Kennedy, Rodney; McEwen, Jason

Description

We develop a sampling scheme on the sphere that permits accurate computation of the spherical harmonic transform and its inverse for signals band-limited at L using only L2 samples. We obtain the optimal number of samples given by the degrees of freedom of the signal in harmonic space. The number of samples required in our scheme is a factor of two or four fewer than existing techniques, which require either 2L2 or 4L2 samples. We note, however, that we do not recover a sampling theorem on the...[Show more]

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
URI: http://hdl.handle.net/1885/75119
Source: IEEE Transactions on Signal Processing
DOI: 10.1109/TSP.2014.2337278

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