Spatio-spectral formulation and design of spatially varying filters for signal estimation on the 2-sphere

Zubair Khalid; Rodney A. Kennedy; Parastoo Sadeghi; Salman Durrani

doi:10.1117/12.2023932

26 September 2013 Spatio-spectral formulation and design of spatially varying filters for signal estimation on the 2-sphere

Zubair Khalid, Rodney A. Kennedy, Parastoo Sadeghi, Salman Durrani

Author Affiliations +

Proceedings Volume 8858, Wavelets and Sparsity XV; 88580L (2013) https://doi.org/10.1117/12.2023932
Event: SPIE Optical Engineering + Applications, 2013, San Diego, California, United States

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.

Citation Download Citation

Zubair Khalid, Rodney A. Kennedy, Parastoo Sadeghi, and Salman Durrani "Spatio-spectral formulation and design of spatially varying filters for signal estimation on the 2-sphere", Proc. SPIE 8858, Wavelets and Sparsity XV, 88580L (26 September 2013); https://doi.org/10.1117/12.2023932

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