Speech Signal Analysis and Modelling - Digital Speech: Coding for Low Bit Rate Communication Systems - page 57

Hamming, Hanning, Blackman, Kaiser, etc.), some of which are defined as
follows:

Rectangular :

1

; 0 ≤ n ≤ N − 1

=

w(n) (4.2)

0 ; otherwise

Bartlett :

−

2 n
N

N 1

; 0 ≤ n ≤

− 1 2

2 n
N

N − 1

w(n) = (4.3)

2 − ; ≤ n ≤ N − 1

− 1 2

0 ; otherwise

Hamming :

0 . 46 cos 2 π

n

0 . 54 − ; 0 ≤ n ≤ N − 1

w(n) = (4.4)

N − 1

0 ; otherwise

Hanning :

0 . 5cos 2 π

n

− ; ≤ ≤ −

0 . 5 0 n N 1

w(n) = (4.5)

N − 1

0 ; otherwise

Blackman :

0 . 5cos 2 π 0 . 08 cos 2 π

n 2 n

N

0 . 42 − + ; 0 ≤ n ≤ N − 1

w(n) =

N − 1 − 1

0 ; otherwise

(4.6)

Kaiser :

β

1 2

1

2 n
N

I 0 −

1 −

−

w(n) = (4.7)

; 0 ≤ n ≤ N − 1

I 0 (β)

0 ; otherwise