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DigitalVideoAndHDTVAlgorithmsAndInterfaces.pdf

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Figure 7.6 Vertical resolution in<br />

480i systems can’t quite reach<br />

the Nyquist limit of 240 cycles<br />

(line pairs), owing to Kell and<br />

interlace factors. Vertical resolution<br />

is diminished, typically to<br />

7 ⁄10 of 240 – that is, to 166 C/PH.<br />

Equivalent horizontal resolution<br />

to 166 C/PH is obtained by<br />

multiplying by the 4:3 aspect<br />

ratio, obtaining 221 C/PW.<br />

Picture content consumes<br />

about 85% of the total line<br />

time. Dividing 221 C/PW by<br />

0.85 yields 260 cycles per total<br />

line. Line rate is 15.734 kHz;<br />

260 cycles during one complete<br />

line period corresponds to<br />

a video frequency of about<br />

4.2 MHz, the design point of<br />

NTSC. There are 79 “TV lines”<br />

per megahertz of bandwidth.<br />

221<br />

= 260<br />

1-0. 15<br />

480<br />

221 C/PW<br />

260 C/total line<br />

= 4.2 MHz<br />

332 TVL/PH<br />

(“332 lines“)<br />

As a consequence, early interlaced systems showed no<br />

advantage in resolution over progressive systems of the<br />

same bandwidth. However, scan lines were much less<br />

visible in the interlaced systems.<br />

Figure 7.6 above summarizes how vertical and horizontal<br />

spatial frequency and bandwidth are related for<br />

480i television. The image height is covered by<br />

480 picture lines. Sampling theory limits vertical image<br />

content to below 240 C/PH if aliasing is to be avoided.<br />

Reduced by Kell and interlace factors combining to<br />

a value of 0.7, about 166 C/PH of vertical resolution can<br />

be conveyed. At 4:3 aspect ratio, equivalent horizontal<br />

resolution corresponds to 4 ⁄3 times 166, or about<br />

221 C/PW. For a horizontal blanking overhead of 15%,<br />

that corresponds to about 260 cycles per total line<br />

time. At a line rate of 15.734 kHz, the video circuits<br />

should have a bandwidth of about 4.2 MHz. Repeating<br />

this calculation for 576i yields 4.7 MHz.<br />

CHAPTER 7 RESOLUTION 71<br />

166 C/PH<br />

× × 3<br />

2<br />

4<br />

Expressed in TV lines, 166 C/PH<br />

is multiplied by 2, to obtain 332.<br />

× 2<br />

TVL/PH<br />

79<br />

MHz

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