Signal Estimation from Incomplete Data on the 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

An iterative algorithm is proposed to estimate a signal on the sphere from limited or incomplete measurements. 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 or low-pass in character. The iteration algorithm is to reduce the mean square error between the spherical harmonic coefficients of the estimated and that of the original signal. Convergence and its numerical properties are determined using spherical harmonic analysis. A practical example of antenna radiation pattern reconstruction is given with detailed analysis.

Description

Keywords

Keywords: Antenna radiation patterns; Finite degree; Fourier decomposition; Incomplete data; Incomplete measurements; Iteration algorithms; Iterative algorithm; Low-pass; Modelimited; Numerical properties; Original signal; Signal estimation; Spherical harmonic anal Incomplete data; Modelimited; Signal estimation; Sphere; Spherical harmonics

Citation

Source

Proceedings of the Australian Communications Theory Workshop (AusCTW 2008)

Type

Conference paper

Book Title

Entity type

Access Statement

License Rights

DOI

10.1109/AUSCTW.2008.4460819

Restricted until

2037-12-31