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In this paper, an effective systematic design method is proposed to construct several efficient VLSI architectures of 1-D and 2-D lifting-based discrete wavelet transform. This design method first performs a specific lifting factorization for any finite discrete wavelet transform filter to obtain an optimal algorithm representation for hardware implementation. The optimized algorithm then turns into 1-D systolic architectures through dependence graph formation and systolic arrays mapping. Based on the 1-D architectures, a general 2-D discrete wavelet transform framework is used to construct the corresponding 2-D architectures. According to the comparison results, the constructed VLSI architectures are more efficient than previous arts in term of arithmetic units and memory storage.