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DigitalVideoAndHDTVAlgorithmsAndInterfaces.pdf

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The mismatch between the<br />

primaries and the luma coefficients<br />

of SDTV has little practical<br />

significance; however, the<br />

mismatch of luma coefficients<br />

between SDTV and HDTV has<br />

great practical significance!<br />

primary sets are slightly different; both sets very nearly<br />

match the primaries of Rec. 709.) Despite the change in<br />

primaries, the luma coefficients for 480i and 576i<br />

video have remained unchanged from the values that<br />

were established in 1953. As a consequence of the<br />

change in primaries, the luma coefficients in SDTV no<br />

longer theoretically match the primaries. The mismatch<br />

has little practical significance.<br />

Rec. 709 luma<br />

International agreement on Rec. 709 was achieved in<br />

1990 on the basis of “theoretically correct” luma coefficients<br />

derived from the Rec. 709 primaries:<br />

709<br />

Y'= 0. 2126 R'+ 0. 7152 G'+ 0. 0722 B'<br />

Eq 24.7<br />

SMPTE 240M-1988 luma<br />

Two years before Rec. 709 was adopted, SMPTE standardized<br />

luma coefficients for 1035i30 HDTV that were<br />

“theoretically correct” for the SMPTE RP 145 primaries<br />

in use at the time:<br />

240<br />

Y'= 0. 212 R'+ 0. 701G'+ 0. 087 B'<br />

Eq 24.8<br />

Following the establishment of Rec. 709, the successors<br />

to SMPTE 240M – such as SMPTE 274M for<br />

1920×1080 HDTV – specified the primaries, transfer<br />

function, and luma coefficients of Rec. 709. However,<br />

provisions were made in these standards to accommodate<br />

the 240M parameters as an “interim implementation,”<br />

and the 240M parameters remain in use in some<br />

of the HDTV equipment that is deployed as I write this.<br />

The most recent revision of SMPTE 274M dispenses<br />

with the “interim implementation,” and embraces<br />

Rec. 709.<br />

Chroma subsampling, revisited<br />

The purpose of color difference coding is to enable<br />

subsampling. In analog video, the color difference<br />

components are subject to bandwidth reduction<br />

through the use of analog lowpass filters; horizontal<br />

color detail is removed. In digital video, the chroma<br />

components are subsampled, or decimated, by filtering<br />

followed by the discarding of samples. Figure 10.3,<br />

Chroma subsampling, on page 90, sketches several<br />

292 DIGITAL VIDEO AND HDTV ALGORITHMS AND INTERFACES

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