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The wavelet transform is a very promising tool for image compression. In JPEG2000, two filter banks are used, one an integer lossless 5-3 filter, and one a lossy 9-7. A combined architecture for the 5-3 and 9-7 transforms with minimum area is presented. The lifting scheme is used to realize a fast wavelet transform. Two lines are processed at a time. This line-based architecture allows minimum memory requirement and fast calculation. The pipeline and the optimization of the operations provide speed, while the combination of the two transforms in one structure contributes to saving the area. On a VIRTEXE1000-8 FPGA implementation, decoding of 2 pixels per clock cycle can be performed at 110 MHz. Only 19% of the total area of the VIRTEXE1000 is needed. Compared to existing architectures, memory resource and area can be reduced thanks to the proposed solution.