The blanced OPTFR multiwavelets and its application in image compression

There has been a growing research in the areas of construction and application of multiwavelets over the past few years. It is crucial for multiwavelets to choose a good prefilter, which can provide good approximation to the initial signals. In this paper, from the view of optimum time-frequency resolution, Jiang constructed orthogonal and symmetric multiwavelets psi(2), which has approximation order 2 and is supported in [0,2]. In order to satisfy the highpass and lowpass property, we apply balancing technique to matrix conjugate quadrature filters, then utilize the balanced matrix conjugate quadrature filters for image compression, and the experimental results of the image compression by the approach prove that it's performance is higher than GHM and CL multiwavelets, closer to or higher than 9/7 scalar filter without any prefilter.