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Signal Concentration on Unit Sphere: A Local K-th Moment Zenithal Energy Concentration Measure

Wei, Liying; Kennedy, Rodney; Lamahewa, Tharaka


We define a k-th moment zenithal energy concentration measure for a polar cap region on the unit sphere. The optimal functions are obtained with the maximal local k-th moment zenithal measure (LMZM). Compared to the spherical Slepian function in the cap region and the optimal function with the minimal global k-th moment zenithal measure (GMZM), we show that: 1) as k increases, the tail of the function with LMZM decays more quickly; 2) the main lobe of the optimal function with LMZM moves as the...[Show more]

CollectionsANU Research Publications
Date published: 2010
Type: Conference paper
Source: Proceedings of the Australian Communications Theory Workshop (AusCTW 2010)
DOI: 10.1109/AUSCTW.2010.5426775


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