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Polyphase Quadrature Filter




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 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 .

PQF has an advantage over the very similar stacked Quadrature Mirror Filter (QMF). Delay is much lower, computational effort is much lower.

A PQF filter bank is constructed using a base filter, which is a Low-pass
at fs/4N. This lowpass is modulated by a N Cosine functions and converted to
N Band-pass es with a Bandwidth of fs/2N.

  • N ... 24---N taps.

  • Note that it is also possible to build PQF filters using recursive IIR filters.


PQF Filter Parameter


Computation


There are different formulas possible, most of them are based on the MDCT ,
but are slightly modified.