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Lifting scheme is not only a fast algorithm of existing wavelet transforms, but also a tool to produce new wavelet transforms. According to the characteristic of the lifting scheme and the 9-7 wavelet, we present a new constructing of simple rational coefficient filters for lifting 9-7 wavelets in this paper. The new lifting wavelets reduce its float and integer operations, and applied the new lifting 9-7 wavelet filters to image compression, we have achieved better results.