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What are advantages of spherical wavelets against spherical harmonics? 


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Spherical wavelets offer several advantages over spherical harmonics. Firstly, wavelets provide better analysis in terms of localization in position and/or direction, allowing for a more precise analysis of antenna radiation patterns . Additionally, the use of wavelets enables a more efficient representation of head-related transfer functions (HRTFs) in the spatial domain, as wavelets are able to efficiently represent local features with a small number of analysis functions . Furthermore, spherical wavelets possess double localization in both spatial and frequency domains, making them well-suited for representing functions with small spatial scale features . These advantages make spherical wavelets a valuable tool for various applications, including antenna radiation pattern analysis and spatial audio processing .

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Open accessPosted Content
21 Aug 2015-arXiv: Methodology
4 Citations
The advantages of spherical wavelets (spherical needlets) over spherical harmonics are their double localization in both spatial and frequency domains, allowing them to easily and sparsely represent functions with small spatial scale features.
Open accessPosted Content
06 Mar 2020-arXiv: Sound
1 Citations
The paper does not explicitly mention the advantages of spherical wavelets against spherical harmonics.
The advantages of spherical wavelets over spherical harmonics are not explicitly mentioned in the paper.
The advantages of spherical wavelets over spherical harmonics are not mentioned in the paper.

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