Khalid, ZubairKennedy, RodneySadeghi, ParastooDurrani, Salman2015-12-10March 25-39781467300469http://hdl.handle.net/1885/64907In this paper, we consider the problem of signal extrapolation for discrete (i.e., sampled) signals on the sphere. We propose conjugate gradient based algorithm for estimating a signal on the sphere from limited or incomplete measurements in a spatial domain. We prove that the proposed algorithm is guaranteed to converge and show that it has faster convergence compared to the Papoulis algorithm. The results also show that the incomplete measurements distributed in different non-connected spatial regions yield better extrapolation results, compared to the connected region case.application/pdfen-AUKeywords: 2-sphere; Band-limited signal; Conjugate gradient; Conjugate gradient algorithms; Connected region; Faster convergence; Incomplete measurements; Signal extrapolation; Spatial domains; Spatial regions; Spherical harmonics; Algorithms; Conjugate gradient me bandlimited signals; signal extrapolation; spherical harmonics; unit sphere10.1109/ICASSP.2012.62887512016-02-24