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Discrete Cosine Transform (DCT)

Discrete Cosine Transform (DCT)

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4 πu<br />

cos<br />

The multiplication by Cu 16 seems not so<br />

efficient. However, bear in mind that the last<br />

operation before the I<strong>DCT</strong> is the<br />

“Quantization”. That means every value is to<br />

be multiplied with a certain constant<br />

(1/Quantization factor) depending on its<br />

position in <strong>DCT</strong> matrix. So we can merge the<br />

4 πu<br />

multiplications by cos<br />

C and the multiplication<br />

u 16<br />

by Quantizer dependent constant together.<br />

As a result, the Quantization and <strong>DCT</strong>-DFT<br />

transform is performed in one step.<br />

20

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