Polyphase quadrature filter
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A polyphase quadrature filter, or PQF, is a filter bank which splits an input signal into a given number N (mostly a power of 2) of equidistant sub-bands. These sub-bands are subsampled by a factor of N, so they are critically sampled.
This critical sampling introduces aliasing. Similar to the MDCT time domain alias cancellation the aliasing of polyphase quadrature filters is canceled by neighbouring sub-bands, i.e. signals are typically stored in two sub-bands.
Note that signal in odd subbands is stored frequency inverted.
PQF filters are used in MPEG-1 Audio Layer I and II, Musepack (which was based on MPEG-1 layer II), in MPEG-1 Layer III with an additional MDCT, in MPEG-4 AAC-SSR for the 4 band PQF bank, in MPEG-4 V3 SBR for the analysis of the upper spectral replicated band, and in DTS.
There are different formulas possible. Most of them are based on the MDCT but are slightly modified.
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- Rothweiler, J. (April 1983). "Polyphase quadrature filters–A new subband coding technique". ICASSP '83. IEEE International Conference on Acoustics, Speech, and Signal Processing. 8: 1280–1283. doi:10.1109/ICASSP.1983.1172005.