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The Hann function is named after the Austrian meteorologist Julius von Hann. It is a window function used to perform Hann smoothing. The function, with length L {\displaystyle L} and amplitude 1 / L , {\displaystyle 1/L,} is given by:

For digital signal processing, the function is sampled symmetrically :

which is a sequence of N + 1 {\displaystyle N+1} samples, and N {\displaystyle N} can be even or odd. It is also known as the raised cosine window, Hann filter, von Hann window, etc.

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