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5.23.14  Hann-Poisson window function : hann_poisson_window

hann_poisson_window takes as arguments a real vector v of length n and optionally a real number α (by default α=1 ) and/or an interval n1 .. n2 (with default values n1=0 and n2=n−1 ), and returns the elementwise product of the vector [vn1,…,vn2] and the vector w of length N=n2n1+1 defined by

wk=
1
2
 


1−cos
k π
N−1



 exp


α |N−1−2 k|
N−1



for k=0,1,…,N−1 . For example, input :

L:=hann_poisson_window(randvector(1000,0..1),2):;

followed by scatterplot(L).


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