Title :
Representation and compression of operators in bases of second-generation wavelets using the lifting scheme
Author :
Ma, Jian-Wei ; Yang, Hui-Zhu
Author_Institution :
Dept. of Eng. Mech., Tsinghua Univ., Beijing, China
Abstract :
Focuses on the representation of differential operator in second-generation wavelet (SGW) domain. One kind of polynomial biorthogonal interpolating wavelet (PBIW) using the lifting scheme is constructed. The non-standard form representation of operators in bases of general lifting biorthogonal interpolating wavelets (BIW) and surface wavelets is obtained. Furthermore, an optimal design criterion of adaptive filters for operator compression is proposed.
Keywords :
adaptive filters; data compression; filtering theory; interpolation; signal representation; wavelet transforms; adaptive filters; general lifting biorthogonal interpolating wavelets; lifting scheme; nonstandard form representation; operator compression; operator representation; optimal design criterion; polynomial biorthogonal interpolating wavelet; second-generation wavelets; surface wavelets; Adaptive filters; Frequency domain analysis; Multiresolution analysis; Sampling methods; Sparse matrices; Surface treatment; Surface waves; Wavelet analysis; Wavelet domain; Wavelet transforms;
Conference_Titel :
Signal Processing, 2002 6th International Conference on
Print_ISBN :
0-7803-7488-6
DOI :
10.1109/ICOSP.2002.1181033
