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DigitalVideoAndHDTVAlgorithmsAndInterfaces.pdf

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horizontal and vertical dimensions – nonsquare<br />

sampling. The degree of inequality was small, just 4%,<br />

but for many applications any departure from equal<br />

spacing imposes a burden. In about 1995, the standard<br />

was adapted to achieve square pixels by choosing<br />

a count of active lines 9 ⁄16 times 1920, that is,<br />

1080 lines. SMPTE, and subsequently ATSC, enshrined<br />

square sampling in the 1920×1080 image array. The<br />

system has about two million pixels per frame; the<br />

exact number is very slightly less than 2 21 , a neat fit<br />

into binary-sized memory components.<br />

NHK planned to operate the 1920×1035 system at<br />

a frame rate of exactly 30 Hz (“30.00 Hz”), and early<br />

1035i equipment operated only at that rate. However,<br />

the discrepancy of about one frame every 16 seconds<br />

between 1035i30.00 and 480i29.97 is a big nuisance<br />

in standards conversion. To ease this problem, and<br />

engineering difficulties associated with digital audio<br />

sample rates, current 1080i HDTV standards accommodate<br />

both 29.97 Hz and 30 Hz frame rates.<br />

While NHK and others were developing 1125/60 interlaced<br />

HDTV, progressive-scan systems having nearly<br />

identical pixel rate were being developed by other<br />

organizations, mainly in the United States. Technology<br />

permitted a rate of about 60 megapixels per second,<br />

whether the scanning was interlace or progressive. With<br />

interlace scanning, 60 Mpx/s at 30 Hz frame rate allows<br />

a two-megapixel image structure. With progressive<br />

scanning, 60 Mpx/s at 60 Hz frame rate allows just one<br />

megapixel. Partitioning one megapixel into a square<br />

lattice yields an image structure of 1280×720; this led<br />

to the 720p family of standards.<br />

Audio rates<br />

Digital audio has two standard sample rates: 48 kHz, for<br />

professional applications, and 44.1 kHz, for consumer<br />

applications. In the standardization of digital audio,<br />

manufacturers decided to adopt two different standards<br />

in order that professional and consumer equipment<br />

could be differentiated! That goal failed miserably,<br />

and now the dichotomy in sample rates is a major<br />

nuisance in video and audio production.<br />

CHAPTER 31 FRAME, FIELD, LINE, AND SAMPLE RATES 379

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