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where
D 2 4=6 ;2 3=6 ;2 2=6 ;2 1=6 ;2 0 ;2 1=6 T
G D ŒG 0 ;G 1 ;G 2 ;G 3 ;G 4 ;G 5 T
The fixed point approximation of ( 6.7 )inHEVCisgivenby
g QP %6 D round 2 6 G QP %6
This results in
g D Œg 0 ;g 1 ;g 2 ;g 3 ;g 4 ;g 5 T
D Œ40; 45; 51; 57; 64; 72 T
HEVC supports frequency-dependent quantization by using quantization matri-
ces for all transform block sizes. Let W [ x ][ y ] denote the quantization matrix weight
for the transform coefficients at location ( x , y ) in a transform block. A value of
W [ x ][ y ] D 1 indicates that there is no weighting. The fixed point representation of
W [ x ][ y ] is given by:
w Œx Œy D round .16 W Œx Œy/
where w [ x ][ y ] is represented using 8-bit values.
For a quantizer output, level [ x ][ y ], the de-quantizer is specified in the HEVC
standard as
coeff Q Œx Œy D level Œx Œy w Œx Œy g QP %6 <<
C offse t IQ
QP
6
>> shift1
(6.8)
250
200
150
100
50
Fig. 6.6 Relationship
between quantization step
size ( Qstep ) and quantization
parameter ( QP )
0
0
5
10
15
20
25
30
35
40
45
50
QP
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