A filter design procedure is described for obtaining sets of N doubly complementary IIR filters for any N and any bandpass frequencies. The N doubly complementary IIR filters are built following a tree-like structure based on pairs of doubly complementary IIR filters and additional all-pass filters. The sum of all band signals is an all-pass filtered version of the original audio signal. The complementary IIR filters can be used instead of an analysis filterbank (full rate). The corresponding synthesis filterbank is simply the sum of all band signals. The proposed filters enable high quality delay critical audio processing.
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