Complexity analysis of wavelet orthonormal basis
Jiancheng Liu, Cai Zhanyu · 2002
The signal on a wavelet orthonormal basis of L/sup 2/(R/sup n/), a family wavelet orthonormal basis of function in L/sup 2/(R/sup n/) (/spl radic/2/sup j/, /spl psi/(2/sup j/x-n))/sub (j,n)/spl isin/2j/, is built by dilating and translating a unique function /spl psi//sub x/. However in the finite interval with a boundary, the wavelet decomposition is not as accurate as we anticipate, f/sub -1/(t) and g/sub -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.