| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4605379 | Applied and Computational Harmonic Analysis | 2010 | 8 Pages |
Abstract
Extending band-limited constructions of orthonormal refinable functions, a special class of periodic functions is used to generate a family of band-limited refinable functions. Characterizations of Riesz bases and frames formed by integer shifts of these refinable functions are obtained. Such families of refinable functions are employed to construct band-limited biorthogonal wavelet bases and biframes with desirable time-frequency localization.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
