Specific Windows
- Recall that the rectangular window transform is
, implying the rectangular window itself is
, which is obvious.
- The window transform for the Hamming family is
, implying that Hamming windows are
, which we also knew.
- The rectangular window transform is also
for any integer
, implying that all hop sizes given by
for
are COLA.
- Because its side lobes are the same width as the sinc side lobes,
the Hamming window transform is also
,for any integer
, implying hop sizes
are good, for
. Thus, the available hop sizes for the Hamming window family include all of those for the rectangular window except one (
).
Next Section:
The Nyquist Property on the Unit Circle
Previous Section:
Inverse DFT and the DFT Filter Bank Sum