Title :
A novel design of lifting scheme from general wavelet
Author :
Li, Honggang ; Wang, Qiao ; Wu, Lenan
Author_Institution :
Dept. of Radio Eng., Southeast Univ., Nanjing, China
fDate :
8/1/2001 12:00:00 AM
Abstract :
A novel algorithm that is used to lift the vanishing moments of the wavelet from general wavelet, and not only from the Lazy wavelet, is proposed. It is based on the relationship between the vanishing moments of the wavelet and multiple of zeros of z=1 and only needs to solve simple linear equations to obtain the lifting coefficients. Moreover, the shortest lifting scheme and its uniqueness are introduced, from which an iterative algorithm for designing the lifting scheme is presented
Keywords :
FIR filters; filtering theory; iterative methods; wavelet transforms; FIR filter; Lazy wavelet; general wavelet; iterative algorithm; lifting coefficients; lifting scheme design; linear equations solution; vanishing moments; Algorithm design and analysis; Equations; Finite impulse response filter; Fourier transforms; Iterative algorithms; Mechanical factors; Polynomials; Surface waves; Wavelet transforms;
Journal_Title :
Signal Processing, IEEE Transactions on
