The Hanning window has a shape similar to that of half a cycle of a cosine wave. Its defining equation is
w(n) = 0.5 0.5cos(2n/N)
for n = 0, 1, 2, N 1.
A Hanning window with N = 32 is shown in the following illustration.
The Hanning window is useful for analyzing transients longer than the time duration of the window, and also for general purpose applications.