Specific Windows

• Recall that the rectangular window transform is $\hbox{\sc Nyquist}(2\pi/M)$ , implying the rectangular window itself is $\hbox{\sc Cola}(M)$ , which is obvious.

• The window transform for the Hamming family is $\hbox{\sc Nyquist}(4\pi/M)$ , implying that Hamming windows are $\hbox{\sc Cola}(M/2)$ , which we also knew.

• The rectangular window transform is also $\hbox{\sc Nyquist}(K2\pi/M)$ for any integer $1\leq K\leq M/2$ , implying that all hop sizes given by $R=M/K$ for $K=1,2,\ldots,M/2$ are COLA.

• Because its sidelobes are the same width as the sinc sidelobes, the Hamming window transform is also $\hbox{\sc Nyquist}(K2\pi/M)$ ,for any integer $2\leq K\leq M/2$ , implying hop sizes $R=M/K$ are good, for $K=2,\ldots,M/2$ . Thus, the available hop sizes for the Hamming window family include all of those for the rectangular window except one ($R=M$ ).