Signal estimation from incomplete data on the sphere

  • Wen Zhang
  • , Rodney A. Kennedy
  • , Thushara D. Abhayapala

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

5 Scopus citations

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.

Original languageEnglish
Title of host publicationProceedings of the 2008 Australian Communications Theory Workshop, AusCTW08
Pages39-44
Number of pages6
DOIs
StatePublished - 2008
Externally publishedYes
Event2008 Australian Communications Theory Workshop, AusCTW08 - Christchurch, New Zealand
Duration: 30 Jan 20081 Feb 2008

Publication series

NameProceedings of the 2008 Australian Communications Theory Workshop, AusCTW08

Conference

Conference2008 Australian Communications Theory Workshop, AusCTW08
Country/TerritoryNew Zealand
CityChristchurch
Period30/01/081/02/08

Keywords

  • Incomplete data
  • Modelimited
  • Signal estimation
  • Sphere
  • Spherical harmonics

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