15.2.19 Hamming window function:
hamming_window
The
hamming_window
command finds a Hamming window of a sequence.
hamming_window
takes one mandatory argument and one optional argument:
v
, a real vector with length
n
.
Optionally, an interval
n
0
..
n
1
(by default 0..(
n
−1)).
hamming_window(
v
⟨,
n
1
..
n
2
⟩
)
returns the elementwise product of [
v
n
1
,…,
v
n
2
] and the vector
w
of length
N
=
n
2
−
n
1
+1 defined by
w
k
=α−β cos
⎛
⎜
⎜
⎝
2
k
π
N
−1
⎞
⎟
⎟
⎠
for
k
=0,1,…,
N
−1, where α=0.54 and β=1−α=0.46.
Example.
Input:
L0:=randvector(1000,0..1):;
scatterplot(L0);
Output:
Input:
L:=hamming_window(L0):;
scatterplot(L);
Output:
