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]
Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.