Flexible-bandwidth Needlets
Claudio Durastanti, Domenico Marinucci, Anna Paola Todino

TL;DR
This paper introduces a flexible construction of spherical needlets that allows for variable support in the harmonic domain, enhancing adaptability for analyzing isotropic random fields with improved localization and uncorrelation properties.
Contribution
It presents a generalized needlet framework with variable harmonic support, extending the standard constructions and analyzing its properties for isotropic random fields.
Findings
Enhanced localization in high-frequency regimes
Broader assumptions for uncorrelation properties
Flexible harmonic support improves analysis capabilities
Abstract
We investigate here a generalized construction of spherical wavelets/needlets which admits extra-flexibility in the harmonic domain, i.e., it allows the corresponding support in multipole (frequency) space to vary in more general forms than in the standard constructions. We study the analytic properties of this system and we investigate its behaviour when applied to isotropic random fields: more precisely, we establish asymptotic localization and uncorrelation properties (in the high-frequency sense) under broader assumptions than typically considered in the literature.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsSynthetic Aperture Radar (SAR) Applications and Techniques · Soil Geostatistics and Mapping · Underwater Acoustics Research
