Title :
Wavelet theoretic properties of the family of 6/10 biorthogonal filters
Author :
Tay, David B H ; Marusic, Slaven ; Deng, Giiang ; Palaniswami, Marimuthii
Author_Institution :
Dept. of Electron. Eng., LaTrobe Univ., Vic., Australia
Abstract :
The family of biorthogonal filters considered here are of lengths 6 and 10 and represent a superset of the 6/10 pair introduced by Villasenor et al. (1995). The filters have a fixed number of vanishing moments that are structurally imposed and possess two degrees of freedom for varying (tuning) the filter characteristics. A study of the wavelet theoretic properties of the these filters is presented here. Properties such as convergence of the two-scale equation, Sobolev regularity measure, Riesz bounds and the projection cosine of the approximation subspaces are evaluated.
Keywords :
channel bank filters; convergence of numerical methods; tuning; wavelet transforms; 6/10 biorthogonal filters; Riesz bounds; Sobolev regularity measure; approximation subspaces; convergence; filter tuning; projection cosine; two-scale equation; vanishing moments; wavelet theoretic properties; Digital filters; Discrete wavelet transforms; Filtering theory; Interpolation; Low pass filters; Scattering; Security; Transform coding; Watermarking; Wavelet analysis;
Conference_Titel :
Communications and Information Technology, 2004. ISCIT 2004. IEEE International Symposium on
Print_ISBN :
0-7803-8593-4
DOI :
10.1109/ISCIT.2004.1413880
