bohman_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= | ⎛ ⎝ | 1−xk | ⎞ ⎠ | cos | ⎛ ⎝ | π xk | ⎞ ⎠ | + |
| sin | ⎛ ⎝ | π xk | ⎞ ⎠ | , |
where xk=|2 k/N−1−1| , for k=0,1,…,N−1 . For example, input :
followed by scatterplot(L).