Friday, September 25, 2015

Discrete Cosine Transform(DCT) And Its Properties

Its an another way of converting signal into frequency component in the context of digital image processing.
C=$\left \{ C(k,n) \right \}$ where
$ C(k,n) $=
   
The properties of Discrete Cosine Transform are:
1.It is real and orthogonal.
ie: C=C*     C^-1=C^T
2 The DCT is not the real part of unitary DFT.
3.The DCT is a fast transform with computational complexicity in order of O(logN) (real).
4.It has excellent energy compact . So this is used in Data compression technique.

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