Discrete Cosine Transform (DCT)
Discrete Cosine Transform (DCT)
Discrete Cosine Transform (DCT)
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<strong>DCT</strong>-III:<br />
f<br />
j<br />
=<br />
1<br />
2<br />
x<br />
0<br />
+<br />
∑ − n 1<br />
k = 1<br />
x<br />
k<br />
π<br />
cos[ ( j<br />
n<br />
Some authors further multiply the x 0 term<br />
by 1/<br />
2 , this makes the <strong>DCT</strong>-III matrix<br />
orthogonal (up to a scale factor), but breaks<br />
the direct correspondence with a real even<br />
DFT of half-shifted output.<br />
+<br />
1<br />
) k]<br />
2<br />
8
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