Title :
Biorthogonal Butterworth wavelets
Author :
Zheludev, Valery A. ; Averbuch, Amir Z. ; Pevnyi, Alexander B.
Author_Institution :
Sch. of Comput. Sci., Tel Aviv Univ., Israel
Abstract :
We present a new family of biorthogonal wavelet transforms and a related library of biorthogonal symmetric wavelets. For the construction we use the interpolatory discrete splines which enable us to design perfect reconstruction filter banks related to the Butterworth filters. The construction is performed in a “lifting” manner. The proposed scheme is based on interpolation and, as such, it involves only samples of signals and it does not require any use of quadrature formulas. These filters have linear phase property. The filters yield perfect frequency resolution
Keywords :
Butterworth filters; filtering theory; interpolation; linear phase filters; recursive filters; signal reconstruction; signal resolution; signal sampling; splines (mathematics); wavelet transforms; Butterworth filters; biorthogonal Butterworth wavelets; interpolation; interpolatory discrete splines; lifting construction; linear phase filters; perfect frequency resolution; perfect reconstruction filter banks; signal samples; symmetric wavelets; wavelet transforms; Computer science; Digital filters; Filter bank; Frequency response; Interpolation; Libraries; Nonlinear filters; Signal processing; Signal resolution; Wavelet transforms;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 2001. Proceedings. (ICASSP '01). 2001 IEEE International Conference on
Conference_Location :
Salt Lake City, UT
Print_ISBN :
0-7803-7041-4
DOI :
10.1109/ICASSP.2001.940632
