Downsampled STFT Filter Bank

So far we have considered only
(the ``sliding'' DFT) in our
filter-bank interpretation of the STFT. For
we obtain a
*downsampled* version of
:

Let us define the downsampled time index as so that

(10.25) |

Note that this can be considered an implementation of a phase vocoder filter bank [#!PortnoffPhaseVoc!#]. (See §G.5 for an introduction to the vocoder.)

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Center for Computer Research in Music and Acoustics (CCRMA), Stanford University