Biorthogonal wavelets in image compression

The biorthogonal wavelet families are used widely in image compression, but the properties were not discussed in detail. In this paper, four types of biorthogonal wavelets and their duals are discussed whose vanish moment are different. Their filters supports, centers and linear phase are given. As example, the wavelets, including spline 5/3 and CDF9/7, are given. The waveform, magnitude and phase spectrum are plotted respectively. These wavelets are used in image compression and JPEG2000 standard.