Abstract: Lifting scheme requires less computation than conventional Mallat's algorithm. A new method called flipping architecture has been proposed recently, which speeds up further the computation for lifting scheme. A recursive architecture is thus designed on the basis of flipping architecture to implement the 2-level 1-D DWT of 9/7 wavelet, which will insert the 2nd-level DWT into the gaps during 1st-level DWT. Furthermore, the coefficient quantization of flipping architecture is also discussed aiming at eliminating multiplication in the whole design process. The experimental results show that the proposed architecture has many merits, such as faster speed, lower power consumption and hardware saving.