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DigitalVideoAndHDTVAlgorithmsAndInterfaces.pdf

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Bellamy, John C., Digital<br />

Telephony, Second Edition<br />

(New York: Wiley, 1991),<br />

98–111 and 472–476.<br />

For engineering purposes, we<br />

consider R’, G’, and B’ to be<br />

encoded with identical transfer<br />

functions. In practice, encoding<br />

gain differs owing to white<br />

balance. Also, the encoding<br />

transfer functions may be<br />

adjusted differently for artistic<br />

purposes during image capture<br />

or postproduction.<br />

Excursion in analog 480i<br />

systems is often expressed in IRE<br />

units, which I will introduce on<br />

page 327.<br />

As I have mentioned, CD audio is coded linearly, with<br />

16 bits per sample. Audio for digital telephony usually<br />

has just 8 bits per sample; this necessitates nonlinear<br />

coding. Two coding laws are in use, A-law and µ-law;<br />

both of these involve decoder transfer functions that<br />

are comparable to bipolar versions of Figure 2.3.<br />

In video (including motion-JPEG and MPEG), and in<br />

digital photography (including JPEG/JFIF), R’G’B’<br />

components are coded in a perceptually uniform<br />

manner. Noise visibility is minimized by applying<br />

a nonlinear transfer function – gamma correction – to<br />

each tristimulus value sensed from the scene. The<br />

transfer function standardized for studio video is<br />

detailed in Rec. 709 transfer function, on page 263. In<br />

digital still cameras, a transfer function resembling that<br />

of sRGB is used; it is detailed in sRGB transfer function,<br />

on page 267. Identical nonlinear transfer functions are<br />

applied to the red, green, and blue components; in<br />

video, the nonlinearity is subsequently incorporated<br />

into the luma and chroma (Y’C B C R ) components. The<br />

approximate inverse transfer function is imposed at the<br />

display device: A CRT has a nonlinear transfer function<br />

from voltage (or code value) to luminance; that function<br />

is comparable to Figure 2.3 on page 21. Nonlinear<br />

coding is the central topic of Chapter 23, Gamma, on<br />

page 257.<br />

Headroom and footroom<br />

Excursion (or colloquially, swing) refers to the range of<br />

a signal – the difference between its maximum and<br />

minimum levels. In video, reference excursion is the<br />

range between standardized reference white and reference<br />

black levels.<br />

In high-quality video, it is necessary to preserve transient<br />

signal undershoots below black, and overshoots<br />

above white, that are liable to result from processing by<br />

digital and analog filters. Studio video standards provide<br />

footroom below reference black, and headroom above<br />

reference white. Headroom allows code values that<br />

exceed reference white; therefore, you should distinguish<br />

between reference white and peak white.<br />

22 DIGITAL VIDEO AND HDTV ALGORITHMS AND INTERFACES

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