DCT

\noindent DCT(i, j) =
\[\frac{1}{\sqrt{2N}}C(i)C(j)\sum^{N-1}_{x=0}\sum^{N-1}_{y=0} px(x, y)COS[\frac{(2x+1)i\pi }{2\N}] COS[\frac{(2y+1)i\pi}{2N}]\]
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