### 5.23.13 Hamming window function : hamming_window

hamming_window takes as arguments a real vector v of length n and optionally an interval n1 .. n2 (with default values n1=0 and n2=n−1 ), and returns the elementwise product of the vector [vn1,…,vn2] and the vector w of length N=n2−n1+1 defined by

wk=α−β cos | ⎛ ⎜ ⎜ ⎝ |
2 k π
N−1
| ⎞ ⎟ ⎟ ⎠

for k=0,1,…,N−1 , where α=0.54 and β=1−α=0.46 . For example, input :

L:=hamming_window(randvector(1000,0..1)):;

followed by scatterplot(L).