The Study of Subspace Pseudoframes of Translates with Several Refinable Functions

The concept of a generalized multiresolution structure (GMS) of L 2 (R) is presented. The definition of multiple pseudoframes for subspaces of L 2 (R) is proposed. The designment of a GMS of Paley-Wiener subspaces of L 2 (R) is investigated. The sufficient condition for the existence of multiple pse...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Hauptverfasser:	Wang Hui, Zhai Meijuan
Format:	Tagungsbericht
Sprache:	eng
Schlagworte:	Educational technology Electronic learning finite support Fourier series Fourier transforms generalized multiresolution structure Hilbert space matrix theory Multiresolution analysis pseudodoframes refinable functions Signal processing Signal resolution Space technology Wavelet transforms
Online-Zugang:	Volltext bestellen
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	The concept of a generalized multiresolution structure (GMS) of L 2 (R) is presented. The definition of multiple pseudoframes for subspaces of L 2 (R) is proposed. The designment of a GMS of Paley-Wiener subspaces of L 2 (R) is investigated. The sufficient condition for the existence of multiple pseudoframes for subspaces of L 2 (R) is established based on such a generalized multiresolution structure.
DOI:	10.1109/IC4E.2010.88