21.5.8  Hann-Poisson window

The hann_poisson_window command applies the Hann-Poisson window to a sequence or its segment.

• hann_poisson_window takes one mandatory argument and up to three optional arguments:
  • v, a real vector with length n.
  • Optionally, one of:
    • α, a real number (by default, α=1).
    • m,N ⟨,α⟩, a sequence of two integers and optionally a real number α (by default, m=0 and N=n).
• hann_poisson_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 2

  ⎛ ⎜ ⎜ ⎝

  1−cos

  2 k π N−1

  ⎞ ⎟ ⎟ ⎠

  exp

  ⎛ ⎜ ⎜ ⎝

  −

  α |N−1−2 k| N−1

  ⎞ ⎟ ⎟ ⎠

  ,    k=0,1,…,N−1.

Example