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Signal Estimation from Incomplete Data on the Wen Zhang, Rodney A. Kennedy and Thushara D. Abhayapala
 

Summary: Signal Estimation from Incomplete Data on the
Sphere
Wen Zhang, Rodney A. Kennedy and Thushara D. Abhayapala
Department of Information Engineering
Research School of Information Sciences and Engineering
The Australian National University
Email: wen@cecs.anu.edu.au, rodney.kennedy@anu.edu.au, thushara.abhayapala@anu.edu.au
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.
Index Terms--Signal Estimation, Incomplete data, Sphere,
Spherical Harmonics, Modelimited

  

Source: Abhayapala, Thushara D. - Department of Information Engineering, Australian National University

 

Collections: Computer Technologies and Information Sciences