Bartlett-Hann window function : bartlett_hann

5.27.13 Bartlett-Hann window function : bartlett_hann_window

bartlett_hann_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 [v_n₁,…,v_n₂] and the vector w of length N=n₂−n₁+1 defined by

w_k=a₀+a₁

⎪
⎪
⎪
⎪

N−1

−

⎪
⎪
⎪
⎪

−a₂ cos

⎛
⎜
⎜
⎝

2 k π

N−1

⎞
⎟
⎟
⎠

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

L:=bartlett_hann_window(randvector(1000,0..1)):;

followed by scatterplot(L).