A new adaptive wavelet transform using lifting scheme

This paper presents a new adaptive wavelet transform using lifting scheme. The algorithm proposed uses interpolating method to construct a predict/update type lifting scheme based on the optimal criteria. The two-step lifting scheme is adaptively match the property of local signal at each scale. The novel framework introduced chooses the most suitable predictor and updater respectively, which differs from other adaptive methods making only one step adaptive. Numerical experiments show that the proposed transform is efficient and demonstrate the potential utility of the new adaptive wavelet transform.