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We present a parallel architecture able of computing a wide range of wavelet packets. The architecture is based on the implementation of the wavelet transform by means of its factoring into lifting steps. In order to implement the lifting scheme on the architecture, we previously carry out a regularization of the lifting steps, so that they all have similar structure and complexity. This allows us to efficiently compute a wide range of lifting steps over the same hard-ware. The architecture consists of a group of multipliers-accumulators that operate in parallel on the data stored in a memory. With simple programming, we can choose the type of filter, the numbers of stages of the transform and the form of the wavelet packet tree. In summary, the architecture is designed to efficiently take advantage of the structure of the lifting steps.