On a Class of High-Dimensional FMRA Wavelet Frames
Qiao Fang LIAN Department of Mathematics,Beijing Jiaotong University,Beijing 100044,P.R.China Yun Zhang LI College of Applied Sciences,Beijing University of Technology,Beijing 100124,P.R.China
Motivated by its application in signal denoising,image compression,etc., wavelet frames have interested many mathematicians.In this paper,we discuss the construction of wavelet frames via a frame multiresolution analysis(FMRA) associated with a dilation matrix of determinant±2.An explicit expression of FMRA frame wavelet is obtained.Some examples are also provided to illustrate the general theory.
Qiao Fang LIAN Department of Mathematics,Beijing Jiaotong University,Beijing 100044,P.R.China Yun Zhang LI College of Applied Sciences,Beijing University of Technology,Beijing 100124,P.R.China.
On a Class of High-Dimensional FMRA Wavelet Frames. Acta Mathematica Sinica, Chinese Series, 2009(05): 23-30 https://doi.org/10.12386/A2009sxxb0106
