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In this paper, we present architectures and scheduling algorithms for encoders and decoders that are based on the two-dimensional discrete wavelet transform. We consider the design of encoders and decoders individually, as well as in an integrated encoder-decoder system. We propose architectures ranging from a single-instruction multiple-data processor arrays to folded architectures that are suitable for single-chip implementations. The scheduling algorithms for the folded architectures range from those that try to minimize the latency to those that try to minimize the storage and keep the data flow regular. We include a comparison of the performance of these algorithms to aid the designer in choosing one that is best suited for a specific application.