Optimization design of new Burt-Adelson biorthogonal wavelets
Nie Pan-hong · Jisuanji yingyong yanjiu · 2008
This paper derived the parameter expressions of Burt-Adelson(B-A) biorthogonal wavelet filter bank(FB) family based on the perfect reconstruction condition of FB.By assigning arbitrary real number to this free parameter,any B-A wavelet with different features could be constructed with ease.As an instance,constructed a new rational-coefficient B-A wavelet with optimum coding gain.Simulations show that the new B-A wavelet enjoys the image compression performance slightly inferior to that of the CDF-9/7 wavelet by Cohen,Daubechies,and Feauveau;however surpasses the 7/5 wavelet recommended in JPEG 2000 standard.Moreover its corresponding lifting based discrete wavelet transform(DWT) gains an improvement of computational efficiency up to 20% over the CDF-9/7,superior to 7/5 wavelet also.