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Astrophysics > Instrumentation and Methods for Astrophysics

arXiv:1308.6659 (astro-ph)
[Submitted on 30 Aug 2013]

Title:Spatio-spectral Formulation and Design of Spatially-Varying Filters for Signal Estimation on the 2-Sphere

Authors:Zubair Khalid, Rodney A. Kennedy, Parastoo Sadeghi, Salman Durrani
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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.
Comments: 14 pages, 5 figures, Proceedings of Wavelets and Sparsity XV, SPIE Optics and Photonics 2013
Subjects: Instrumentation and Methods for Astrophysics (astro-ph.IM); Information Theory (cs.IT)
Cite as: arXiv:1308.6659 [astro-ph.IM]
  (or arXiv:1308.6659v1 [astro-ph.IM] for this version)
  https://doi.org/10.48550/arXiv.1308.6659
Related DOI: https://doi.org/10.1117/12.2023932

Submission history

From: Zubair Khalid [view email]
[v1] Fri, 30 Aug 2013 06:20:47 UTC (1,978 KB)
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