1-D DISCRETE COSINE TRANSFORM DCT

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1-D DISCRETE COSINE TRANSFORMDCT
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1-D INVERSE DISCRETE COSINE TRANSFORMIDCT
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1-D Basis Functions N8
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1-D Basis Functions N16
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Example 1D signal
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2-D DISCRETE COSINE TRANSFORMDCT
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ADVANTAGES

• Notice that the DCT is a real transform.
• The DCT has excellent energy compaction
  properties.
• There are fast algorithms to compute the DCT
  similar to the FFT.

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2-D Basis Functions N4
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2-D Basis Functions N8
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Separable
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Example 2D signal
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8x8 Block DCT
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Example Energy Compaction
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Relation between DCT and DFT

• Define

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