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DigitalVideoAndHDTVAlgorithmsAndInterfaces.pdf

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Insertion gain, dB<br />

Insertion gain, dB<br />

+0.050<br />

+0.025<br />

0<br />

-0.025<br />

-0.050<br />

-10<br />

-20<br />

-30<br />

-40<br />

-50<br />

-60<br />

-70<br />

-80<br />

0<br />

1<br />

2 3 4 5 6 7 8 9 10 11 12 13<br />

Frequency, MHz<br />

5.75<br />

Frequency, fraction of fS 0.25<br />

Frequency, ω, rad·s-1 0.5π<br />

Figure 16.25 Half-band filter. This graph shows the frequency response of a practical filter whose<br />

corner is at one-quarter its sampling frequency of 27 MHz. The graph is linear in the abscissa<br />

(frequency) and logarithmic in the ordinate (response). The top portion shows that the passband<br />

has an overall gain of unity and a uniformity (ripple) of about ±0.02 dB: In the passband, its gain<br />

varies between about 0.997 and 1.003. The bottom portion shows that the stopband is rejected<br />

with an attenuation of about -60 dB: The filter has a gain of about 0.001 at these frequencies.<br />

This data, for the GF9102A halfband filter, was kindly provided by Gennum Corporation.<br />

166 DIGITAL VIDEO AND HDTV ALGORITHMS AND INTERFACES<br />

13.5<br />

0.5<br />

π

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