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DigitalVideoAndHDTVAlgorithmsAndInterfaces.pdf

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Figure 24.5 Luminance and<br />

luma notation is necessary<br />

because different primary chromaticity<br />

sets, different luma<br />

coefficients, and different<br />

component scale factors are in<br />

use. Unity scaling suffices for<br />

components in this chapter; in<br />

succeeding chapters, other<br />

scale factors will be introduced.<br />

Figure 24.6 Typesetting Y’C B C R<br />

is a challenge! Luma coefficient<br />

set, scaling, and chromaticities<br />

are set out as in<br />

Figure 24.5 above. The prime<br />

should always be present, to<br />

distinguish luma from the luminance<br />

of color science. C is<br />

appropriate for digital signals,<br />

P for analog. Subscripts B and<br />

R serve as tags, not variables:<br />

They should be in Roman type,<br />

not italics. B comes before R.<br />

Luminance or luma<br />

coefficients: Rec. 601,<br />

SMPTE 240M,<br />

or Rec. 709<br />

Scaling: 1 (implicit) ,<br />

steps, or millivolts<br />

601<br />

219<br />

Y ’<br />

709<br />

Prime indicates<br />

nonlinear (gammacorrected,<br />

or luma)<br />

component<br />

Chromaticity: Rec. 709,<br />

SMPTE 240M, or EBU<br />

For luminance or luma, a leading superscript indicates<br />

the standard specifying the weights used; historically,<br />

the weights of Rec. 601 were implicit, but recent HDTV<br />

standards such as Rec. 709 and SMPTE 240M call for<br />

different weights. Finally, the leading subscript indicates<br />

the overall scaling of the signal. If omitted, an<br />

overall scaling of unity is implicit, otherwise an integer<br />

such as 219, 255, or 874 specifies the black-to-white<br />

excursion in a digital system, or a number such as 661,<br />

700 or 714 specifies the analog excursion in millivolts.<br />

Typesetting Y’C BC R (or Y’P BP R) is a challenge! I illustrate<br />

the main points in Figure 24.6 below. Y’ is augmented<br />

with shaded leading superscript and subscript and<br />

a trailing subscript, according to the conventions of<br />

Figure 24.5. Without these elements, the intended<br />

color cannot be determined with certainty.<br />

Luma details; see<br />

Figure 24.5 above.<br />

Luma<br />

coefficients<br />

Scaling<br />

601<br />

219<br />

Chromaticity<br />

Y’ CBCR 709<br />

Prime indicates<br />

(nonlinear) luma<br />

C for digital,<br />

P for analog<br />

Roman (for tag),<br />

not italic type<br />

CHAPTER 24 LUMA AND COLOR DIFFERENCES 289

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