Title :
Iterative extrapolation algorithm for data reconstruction over sphere
Author :
Zhang, Wen ; Kennedy, Rodney A. ; Abhayapala, Thushara D.
Author_Institution :
Dept. of Inf. Eng., Australian Nat. Univ., Canberra, ACT
fDate :
March 31 2008-April 4 2008
Abstract :
Given limited or incomplete measurement data on a sphere, a new iterative algorithm is proposed on how to extrapolate signal over the whole sphere. The algorithm is based on a priori assumption that the Fourier decomposition of the signal on the sphere has finite degree of spherical harmonic coefficients, that is, the signal is mode limited. The algorithm is a simple iteration involving only the spherical harmonic decomposition. It is proven that the algorithm converges to the original signal over observation region and the convergence rate is lower bounded by the largest eigenvalue of an associated Fredholm integral equation.
Keywords :
extrapolation; integral equations; iterative methods; signal reconstruction; Fourier decomposition; Fredholm integral equation; data reconstruction; iterative extrapolation algorithm; spherical harmonic coefficients; Antenna measurements; Convergence; Data engineering; Eigenvalues and eigenfunctions; Extrapolation; Fourier transforms; Image reconstruction; Integral equations; Iterative algorithms; Signal processing algorithms; Extrapolation; Modelimited; Spherical Harmonics;
Conference_Titel :
Acoustics, Speech and Signal Processing, 2008. ICASSP 2008. IEEE International Conference on
Conference_Location :
Las Vegas, NV
Print_ISBN :
978-1-4244-1483-3
Electronic_ISBN :
1520-6149
DOI :
10.1109/ICASSP.2008.4518464