# Hamming window function: hamming_window

### 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 n0..n1 (by default 0..(n−1)).
- hamming_window(v ⟨,n1..n2⟩) returns the elementwise product of [vn1,…,vn2] and the vector w of length N=n2−n1+1 defined by

  wk=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: