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Concentration Uncertainty Principles for Signals on the Unit Sphere

Khalid, Zubair; Durrani, Salman; Sadeghi, Parastoo; Kennedy, Rodney

Description

The uncertainty principle is an important and powerful tool, with many applications in signal processing. This paper presents two concentration uncertainty principles for signals on the sphere which relate the localization of the concentration of a signal in spatial and spectral domains, as an analogue of the general Donoho and Stark uncertainty principles in time-frequency analysis. Using the spherical and spectral truncation operators, we derive the L1-norm and L2-norm uncertainty principles...[Show more]

CollectionsANU Research Publications
Date published: 2012
Type: Conference paper
URI: http://hdl.handle.net/1885/64903
DOI: 10.1109/ICASSP.2012.6288724

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