Iterative Extrapolation Algorithm for Data Reconstruction over Sphere

Date

2008

Authors

Zhang, Wen
Kennedy, Rodney
Abhayapala, Thushara

Journal Title

Journal ISSN

Volume Title

Publisher

Institute of Electrical and Electronics Engineers (IEEE Inc)

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 modelimited. 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.

Description

Keywords

Keywords: International conferences; Modelimited; Spherical harmonics; Acoustics; Algorithms; Boolean functions; Extrapolation; Harmonic analysis; Integral equations; Speech; Spheres; Signal processing Extrapolation; Modelimited; Spherical harmonics

Citation

Source

Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2008)

Type

Conference paper

Book Title

Entity type

Access Statement

License Rights

Restricted until

2037-12-31