Anzeige
Erschienen in:
2024 | OriginalPaper | Buchkapitel
3. Polynomial Frames
verfasst von : Zhihua Zhang, Palle E. T. Jorgensen
Erschienen in: Frame Theory in Data Science
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
Abstract
Polynomial frames are an emerging topic in the frame theory. Although traditional orthogonal polynomials can well approximate any data living in a region or the whole space, they lack the ability of localized spatial-frequency analysis and enough redundancy for robustness. Polynomial frames are generated by the combination of orthogonal polynomials and different windows. The data decomposition by polynomial frames can not only reveal localized spatial-frequency structure and evolution of data, but also conserve powerful computation ability and robustness. In this chapter, we mainly focus on Legendre-Trigonometric frames, Hermite frames, Laguerre frames and Chebyshev frames.