21.5.4  Bohman window

The bohman_window command applies the Bohman window function to a sequence or its segment.

• bohman_window takes one mandatory argument and two optional arguments:
  • v, a real vector with length n.
  • Optionally, m, N, a sequence of two integers (by default, m=0 and N=n).
• bohman_window returns the elementwise product of [v_m,v_m+1,…,v_m+N−1] and the vector w of length N defined by

  wk=

  ⎛ ⎝

  1−xk

  ⎞ ⎠

  cos

  ⎛ ⎝

  π xk

  ⎞ ⎠

  +

  1 π

  sin

  ⎛ ⎝

  π xk

  ⎞ ⎠

  ,

  where x_k=|2 k/N−1−1| for k=0,1,…,N−1.

Example