Hamming

This window is determined by choosing $\alpha$ to cancel the first side lobe and $\beta$ to normalize peak amplitude to 1 in the time domain:

$$\begin{eqnarray*} \alpha &=& \frac{25}{46} \approx 0.54 \\ [10pt] \beta &=& (1-\alpha)/2 \end{eqnarray*}$$

Note: The Hamming window is very close to the generalized Hamming window which minimizes sidelobe level within the family:

$$\alpha = 0.53836$$   (minimum peak side-lobe magnitude)

Thus, the Hamming window is the ``Chebyshev Generalized Hamming Window'' rounded to two significant digits.

Chebyshev-type designs generally exhibit equiripple error behavior, since the worst-case error (sidelobe level in this case) is minimized (see Dolph-Chebyshev window below)