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DigitalVideoAndHDTVAlgorithmsAndInterfaces.pdf

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Figure 29.17 Spatial<br />

frequency spectrum of<br />

PAL shows that chroma<br />

is displaced vertically<br />

compared to NTSC.<br />

Modulated chroma interferes<br />

with luma much<br />

more severely than it<br />

does in NTSC, unless<br />

luma is spatially filtered<br />

prior to encoding.<br />

Vertical frequency, C/PH<br />

In Filtering and sampling, on<br />

page 141, I explained how a onedimensional<br />

waveform in time<br />

transforms to a one-dimensional<br />

frequency spectrum.<br />

288<br />

144<br />

MODULATED<br />

C U , C V CHROMA<br />

U, V SUBCARRIERS<br />

LUMA<br />

0<br />

0 230 Horizontal frequency, C/PW<br />

One-dimensional frequency spectrum of NTSC<br />

The theory of spatial frequency hadn’t been invented<br />

when the NTSC system was devised. In this section,<br />

I recast the explanation of the NTSC spectrum into the<br />

one-dimensional frequency domain that was familiar in<br />

1953, at the time of the NTSC. In an image where every<br />

scan line is identical, its one-dimensional waveform is<br />

periodic at the line rate, and its power is thus concentrated<br />

at multiples of the line rate: 0 (DC, or zero<br />

frequency), fH (the line rate), 2fH, 3fH, and so on. In<br />

a typical image, power tends to concentrate at low<br />

frequencies, and diminishes toward higher frequencies.<br />

If the content of successive scan lines varies, the effect<br />

is to broaden the spectral lines in the one-dimensional<br />

frequency spectrum: Power is centered at 0, f H , 2f H ,<br />

3f H , and so on, but spreads into nearby frequencies.<br />

A graph of the luma component of a typical image is<br />

graphed at the top of Figure 29.18 overleaf.<br />

Consider a video signal where every scan line contains<br />

a sinewave of frequency f T chosen such that its phase<br />

inverts on alternate lines. This signal is periodic at half<br />

the line rate: All of the power in this signal lies at multiples<br />

of f H ⁄ 2. Furthermore, owing to symmetry, the<br />

power lies only at odd multiples.<br />

In studio and broadcast NTSC, the color subcarrier<br />

frequency is coherent with the line rate. Subcarrier has<br />

227.5 cycles per total line, so subcarrier is located at<br />

227.5f H . That frequency is an odd multiple of half the<br />

line rate, so subcarrier phase inverts on alternate lines.<br />

CHAPTER 29 NTSC AND PAL FREQUENCY INTERLEAVING 361

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