21.5.15  Welch window

The welch_window command applies the Welch window function to a sequence or its segment.

• welch_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).
• welch_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−

  ⎛ ⎜ ⎜ ⎜ ⎜ ⎜ ⎝

  k− N−1 2 N−1 2

  ⎞ ⎟ ⎟ ⎟ ⎟ ⎟ ⎠

  2

  ,    k=0,1,…,N−1.

Example