Title :
Complexity analysis of wavelet orthonormal basis
Author :
Jiancheng, Liu ; Zhanyu, Cai
Author_Institution :
Dept. of Electron. Eng., Nanjing Univ. of Sci. & Technol., China
Abstract :
The signal on a wavelet orthonormal basis of L2(Rn ), a family wavelet orthonormal basis of function in L2(Rn) (√2j, ψ(2jx-n))(j,n)∈2j, is built by dilating and translating a unique function ψx. However in the finite interval with a boundary, the wavelet decomposition is not as accurate as we anticipate, f-1(t) and g-1(t) are not orthonormal, so reconstruction is also distortion. Thus to produce a new improved orthonormal basis, it would help to process the wavelet signal
Keywords :
pattern recognition; signal processing; signal reconstruction; wavelet transforms; complexity analysis; finite interval; pattern recognition; signal reconstruction; wavelet decomposition; wavelet orthonormal basis; wavelet signal processing; Filters; Multiresolution analysis; Power generation economics; Reconstruction algorithms; Signal processing; Spline; Surface waves; Wavelet analysis; Wavelet coefficients; Wavelet domain;
Conference_Titel :
Signal Processing Proceedings, 1998. ICSP '98. 1998 Fourth International Conference on
Conference_Location :
Beijing
Print_ISBN :
0-7803-4325-5
DOI :
10.1109/ICOSP.1998.770205
