The article derives necessary and sufficient conditions for a multirate linear phase FIR filter bank, acting on a symmetrically extended finite-length input signal, to produce either symmetric or antisymmetric downsampled subbands. Such techniques have gained popularity for image coding applications, and we provide the solution to a key technical problem in terms of the input and filter symmetries and the downsampling ratio.
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Christopher M. Brislawn (1995) studied this question.
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