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Maximal multiplicative spatial-spectral concentration on the sphere: Optimal basis

Khalid, Zubair; Kennedy, Rodney


In this work, we design complete orthonormal basis functions, which are referred to as optimal basis functions, that span the vector sum of subspaces formed by band-limited spatially concentrated and space-limited spectrally concentrated functions. The optimal basis are shown to be a linear combination of band-limited functions with maximized energy concentration in some spatial region of interest and space-limited functions which maximize the energy concentration in some spectral region. The...[Show more]

CollectionsANU Research Publications
Date published: 2015
Type: Conference paper
Source: ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
DOI: 10.1109/ICASSP.2015.7178754


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