21.5.1  Bartlett-Hann window

The bartlett_hann_window command applies the Bartlett-Hahn window to a sequence or its segment.

• bartlett_hann_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).
• bartlett_hann_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=a0−a1

  ⎪ ⎪ ⎪ ⎪

  k N−1

  −

  1 2

  ⎪ ⎪ ⎪ ⎪

  −a2 cos

  ⎛ ⎜ ⎜ ⎝

  2 k π N−1

  ⎞ ⎟ ⎟ ⎠

  for k=0,1,…,N−1 , where a₀=0.62 , a₁=0.48 and a₂=0.38 .

Example