Digital Signal Processing Reference
In-Depth Information
formation and thus to clearly visible blocking. Gibbs' phenomenon (Fig.
7.35.), known from DCT, is based on the sinusoidal component of this
transformation process.
DCT performs energy
concentration; information
can now be stored in some
values; many others become
zeroes
Fig. 7.34.
Energy concentration of the DCT
Gibbs' phenomenon
using Fourier
synthesis for
a rectangular
signal
Reason: sinusoidal component
of the Fourier Transform;
DCT does not show this effect
Fig. 7.35.
Gibbs' phenomenon
Since the cosine matrix of the DCT has now been converted into 1/√2
by the conversion of the first row which consisted of all ones, and has thus
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