Construction of 7/5 biorthogonal wavelet and its application to image coding
Gao Cheng-xiu · Journal of Lanzhou University of Technology · 2006
The parametric expressions of 7/5 biorthogonal wavelet filter bank(FB) family were derived based on the perfect reconstruction condition of such wavelet.By assigning various arbitrary real numbers to the parameter in its expression,any 7/5 FB with different features can be constructed with ease;all of them have the linear phase.As an illustration,a rational-coefficient 7/5 FB with optimal coding gain was constructed.Extensive simulations showed that it has compact performance similar to that of the popular 9/7 FB by Cohen,Daubechies,and Feauveau for image coding,and the corresponding lifting of discrete wavelet transform(DWT) gains an improvement upon computational efficiency up to 20% over the latter.