Time-Frequency Seminar, 11-13-2001

Zuowei Shen

Wavelet frames: theory and constructions

Abstract: This talk is about  wavelet frames  constructed via multiresolution
analysis. We shall explore  the `power of redundancy' to establish general
principles and specific algorithms for constructing framelets and tight framelets.
In particular, we shall give several systematic constructions of spline and
pseudo-spline tight frames and symmetric bi-frames with short supports and
high approximation orders. Several explicit examples are discussed. This talk is
based on a joint work with Ingrid Daubechies, Bin Han and  Amos Ron.