Colorimetric characteristics of ultra-high definition digital television (UHDTV) systems
Colorimetric characteristics of ultra-high definition digital television systems are presented in Table 3.7. In Recommendation ITU-R BT.2020 [3.10] a newly proposed signal format for UHDTV systems is specified. For UHDTV systems 10 bit and 12 bit coded representation is used and decimal values of the quantized signals are:
‒ for gamma-corrected signals:
(3.30)
(3.31)
(3.32)
‒ for luminance and colour difference signals:
Constant luminance (CL):
(3.33)
(3.34)
(3.35)
Non-Constant luminance (NCL):
(3.36)
(3.37)
(3.38)
TABLE 3.4 Digital encoding equations (Recommendation ITU-R BT.1361)
Parameter
Equations
Conventional color gamut system
Extended color gamut system(1)
Quantization of RGB, luminance and color-difference signals (2) (3)
Derivation of luminance and color-difference signals via quantized RGB signals(4)
(1) A detailed explanation is given in Annex 1 of Recommendation ITU-R BT.1361 [3.6].
(2) n denotes the number of the bit-length of the quantized signal.
(3) The operator INT returns the value of 0 for fractional parts in the range of 0 to 0.4999... and +1 for fractional parts in the range of 0.5 to 0.9999..., i.e. it rounds up fractions above 0.5.
(4) Annex 2 of Recommendation ITU-R BT.1361 [3.6] specifies a procedure to obtain optimized integer coefficients for digital implementation.
TABLE 3.5 Optimized integer coefficients for conventional color gamut system (Recommendation ITU-R BT.1361)
Coeff. bits
Denominator
Luminance Y
Color-difference CB
Color-difference CR
m
2m
19
30
101
119
12
60
202
238
24
1 024
120
404
476
48
2 048
1 465
240
807
1 047
1 047
951
96
4 096
2 929
480
1 615
2 095
2 095
1 903
192
8 192
1 742
5 859
960
3 230
4 190
4 189
3 805
384
16 384
3 483
11 718
1 183
1 920
6 459
8 379
8 379
7 611
768
32 768
6 966
23 436
2 366
3 840
12 918
16 758
16 758
15 221
1 537
65 536
13 933
46 871
4 732
7 680
25 836
33 516
33 516
30 443
3 073
Note 3 For the conventional color gamut system, the RGB signal region used in the optimization is the nominal signal range of Recommendation ITU-R BT.601 and its extensions, i.e. the range 16 2n8 235 2n8for an n-bit system. For the extended color gamut system, it is the maximum signal range of Recommendation ITU-R BT.601 and its extensions, i.e. 1 2 n8 254 2 n8.
TABLE 3.6 Optimized integer coefficients for extended color gamut system (Recommendation ITU-R BT.1361)
Coeff. bits
Denominator
Luminance Y
Color-difference CB
Color-difference CR
m
2m
12 723
41
138
163
16
50 893
82
276
325
33
1 024
1 003
203 571
164
553
651
66
2 048
2 005
814 285
329
1 105
1 434
1 434
1 302
132
4 096
1 192
4 009
3 257 139
657
2 210
2 867
2 867
2 604
263
8 192
2 384
8 019
13 028 557
1 314
4 420
5 734
5 734
5 208
526
16 384
4 768
16 039
1 619
52 114 227
2 628
8 841
11 469
11 469
10 417
1 052
32 768
9 535
32 078
3 238
208 456 909
5 256
17 682
22 938
22 937
20 834
2 103
65 536
19 071
64 155
6 476
833 827 635
10 512
35 363
45 875
45 875
41 669
4 206
The value of depends on the signal bit-lengths n, and the values listed are those for the cases m = n. It is confirmed that the optimized values are identical with the initial nearest integers in m + n bits precision, when m and n are within 8‒16.
TABLE 3.7 Colorimetric characteristics of ultra-high definition digital television systems
System
Primaries and reference white chromaticity coordinates
Opto-electronic and electrooptic conversion characteristics
Coding equation
UHDTV
Opto-electronic conversion:
where E is voltage normalized by the reference white level and proportional to the implicit light intensity that would be detected with a reference camera colour channel R, G, B; E' is the resulting non-linear signal.
α = 1.099 and β = 0.018 for 10-bit system α = 1.0993 and β = 0.0181 for 12-bit system