#### 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