Discrete Cosine Transform (DCT)

We can re-write (5) as
4
C
u
πu
cos S
16
When
j
8
=
( u)
=
−1
15
2kπu
16
∑ f ( k)
cos = Re{ ∑
k= 0
k=
0
2kπu
− j
16
Decaese the 16-point DFT is defined by
F
16
( u)
=
15
∑
k = 0
f
( k)
e
2kπu
− j
16
15
f ( k)
e
}
18