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Band-limited extrapolation on the sphere for signal reconstruction in the presence of noise

Alem, Yibeltal; Khalid, Zubair; Kennedy, Rodney

Description

We investigate the problem of extrapolation of band-limited signals on the 2-sphere in the presence of noise. Specifically, given incomplete or spatially limited measurements subject to noise, find the unique extrapolation to the complete 2-sphere. We present an analytic solution to the extrapolation problem based on the expansion of a signal in Slepian basis corresponding to an orthogonal set of eigenfunctions of an associated energy concentration problem. An alternative equivalent iterative...[Show more]

CollectionsANU Research Publications
Date published: 2014
Type: Conference paper
URI: http://hdl.handle.net/1885/75278
Source: ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
DOI: 10.1109/ICASSP.2014.6854381

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