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1-D DISCRETE COSINE TRANSFORM DCT

1-D DISCRETE COSINE TRANSFORM DCT. 1-D INVERSE DISCRETE COSINE TRANSFORM IDCT. 1-D Basis Functions N= 8. 1-D Basis Functions N= 16. Example: 1D signal. 2-D DISCRETE COSINE TRANSFORM DCT. ADVANTAGES. Notice that the DCT is a real transform.

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1-D DISCRETE COSINE TRANSFORM DCT

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  1. 1-D DISCRETE COSINE TRANSFORMDCT

  2. 1-D INVERSE DISCRETE COSINE TRANSFORMIDCT

  3. 1-D Basis Functions N=8

  4. 1-D Basis Functions N=16

  5. Example: 1D signal

  6. 2-D DISCRETE COSINE TRANSFORMDCT

  7. 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.

  8. 2-D Basis Functions N=4

  9. 2-D Basis Functions N=8

  10. Separable

  11. Example: 2D signal

  12. 8x8 Block DCT

  13. Example: Energy Compaction

  14. Relation between DCT and DFT • Define

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