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Proceedings Paper

Spatio-spectral formulation and design of spatially varying filters for signal estimation on the 2-sphere
Author(s): Zubair Khalid; Rodney A. Kennedy; Parastoo Sadeghi; Salman Durrani
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Paper Abstract

In this paper, we present an optimal filter for the enhancement or estimation of signals on the 2-sphere corrupted by noise, when both the signal and noise are realizations of anisotropic processes on the 2-sphere. The estimation of such a signal in the spatial or spectral domain separately can be shown to be inadequate. Therefore, we develop an optimal filter in the joint spatio-spectral domain by using a framework recently presented in the literature | the spatially localized spherical harmonic transform - enabling such processing. Filtering of a signal in the spatio-spectral domain facilitates taking into account anisotropic properties of both the signal and noise processes. The proposed spatio-spectral filtering is optimal under the mean-square error criterion. The capability of the proposed filtering framework is demonstrated with by an example to estimate a signal corrupted by an anisotropic noise process.

Paper Details

Date Published: 26 September 2013
PDF: 13 pages
Proc. SPIE 8858, Wavelets and Sparsity XV, 88580L (26 September 2013); doi: 10.1117/12.2023932
Show Author Affiliations
Zubair Khalid, The Australian National Univ. (Australia)
Rodney A. Kennedy, The Australian National Univ. (Australia)
Parastoo Sadeghi, The Australian National Univ. (Australia)
Salman Durrani, The Australian National Univ. (Australia)

Published in SPIE Proceedings Vol. 8858:
Wavelets and Sparsity XV
Dimitri Van De Ville; Vivek K. Goyal; Manos Papadakis, Editor(s)

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