Abstract: An optimized biorthogonal wavelets design method is presented to meet the various demands for image compression for wavelet bases. First, a design rule for single-parameter biorthogonal wavelets is described, which helps to balance the regularity and filter length of wavelet filters, and thus improves their frequency characteristics. Then a single-parameter evaluation function is established by regulating the coding gain and unbalanced metric of space-frequency resolution. By maximizing the constructed function, the optimized biorthogonal wavelets for image compression can be obtained. Experiments show that the algorithm is easy to realize, only with the self-correlation of the interested image needed. A higher PSNR is obtained compared with other wavelets of the same category.

Key words: coding gain, balanced uncertaintied metric, biorthogonal wavelets