Title :
Necessary condition for the multiwavelet frames in two dimension
Author :
Wu, Guo-Chang ; Zhang, Rill
Author_Institution :
Dept. of Math. & Inf. Sci., Henan Univ. of Finance & Econ., Zhengzhou, China
Abstract :
In this note, a necessary condition of multiwavelet frame in L2(R2) is given. Our result generalizes the result of existing univariate and single generator to the cases of 2-dimension with an arbitrary expansive matrix dilation and several generators.
Keywords :
matrix algebra; signal processing; wavelet transforms; arbitrary expansive matrix dilation; multiwavelet frame; necessary condition; univariate generator; Artificial neural networks; Multiwavelet frame; expansive matrix dilation; necessary condition;
Conference_Titel :
Wavelet Analysis and Pattern Recognition (ICWAPR), 2010 International Conference on
Conference_Location :
Qingdao
Print_ISBN :
978-1-4244-6530-9
DOI :
10.1109/ICWAPR.2010.5576382