Generalized STFT
A generalized STFT may be defined by [287]
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This filter bank and its reconstruction are diagrammed in Fig.11.35.
The analysis filter
is typically complex bandpass (as in the
STFT case). The integers
give the downsampling factor for the
output of the
th channel filter: For critical sampling without
aliasing, we set
. The impulse response of
synthesis filter
can be regarded as the
th basis
signal in the reconstruction. If the
are orthonormal, then
we have
. More generally,
form
a biorthogonal basis.
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Dyadic Filter Bank Design