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Quadratic Variational Framework for Signal Design on the 2-Sphere

Wei, Liying; Kennedy, Rodney; Lamahewa, Tharaka


This paper introduces a quadratic variational framework for solving a broad class of signal design problems on the 2-sphere. The functional, to be extremized, combines energy concentration measures using a weighting function in the spatial domain, multiplicative weights in the spectral domain, and a total energy constraint. This leads to two formulations of the signal design problem on the 2-sphere, one a Fredholm integral equation in the spatial domain and the other an infinite matrix equation...[Show more]

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
Source: IEEE Transactions on Signal Processing
DOI: 10.1109/TSP.2011.2162506


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