Spatial-Slepian Transform on the Sphere
نویسندگان
چکیده
We present spatial-Slepian transform~(SST) for the representation of signals on sphere to support localized signal analysis. use well-optimally concentrated Slepian functions, obtained by solving spatial-spectral concentration problem finding bandlimited and spatially optimally functions sphere, formulate proposed transform obtain joint domain signal. Due optimal energy in spatial domain, allows us probe content Furthermore, we an inverse recover from coefficients, show that rotated form a tight frame sphere. develop algorithm fast computation carry out computational complexity formulation SST zonal which are polar cap~(axisymmetric) region, provide illustration using Earth topography map. To demonstrate utility transform, variation analysis; employing detecting hidden variations
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ژورنال
عنوان ژورنال: IEEE Transactions on Signal Processing
سال: 2021
ISSN: ['1053-587X', '1941-0476']
DOI: https://doi.org/10.1109/tsp.2021.3093260