Orthonormal wavelet basis based on the tight frame
Zhao Rui · Jounal of Xidian University · 2000
The relation between frames and orthonormal bases is discussed and a new method for constructing the wavelet basis based on the wavelet frame is also presented. An orthonormal wavelet basis is constructed as an example and the proof of its orthonormality is given. Such a wavelet basis is characterized by its dilation factor a 0= 3. It has relatively good time frequency localization as well as is orthonormal. Compared with the famous Meyer wavelet, it has a smaller support in time and decays faster in frequency. Additionally, this wavelet has some symmetry in both time and frequency.