Optimization design of new Burt-Adelson biorthogonal wavelets
新 Burt-Adelson双正交小波的优化设计 *

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 waveletwith optimumcoding 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.