5.27.18  Gaussian window function : gaussian_window

gaussian_window takes as arguments a real vector v of length n and optionally a positive real number α≤ 0.5 (by default α=0.1 ) and/or 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

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

followed by scatterplot(L).