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The Engineer's Guide to Standards Conversion - Snell

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Vertical<br />

frequency<br />

Unsuppressed<br />

= Modulation of<br />

moving edges<br />

Unsuppressed<br />

=Vertical aliasing<br />

Unsuppressed<br />

=5Hz flicker<br />

Roll-off here<br />

= Loss of vertical<br />

detail<br />

S<strong>to</strong>p Band<br />

Base Band<br />

Roll-off here<br />

= Motion blur<br />

Unsuppressed<br />

=motion judder<br />

Temporal<br />

frequency<br />

Fig 3.5.6<br />

Potential problems due <strong>to</strong> non-ideal filtering are catalogued here.<br />

Fig 3.5.6 catalogues the problems which may occur in a two dimensional<br />

50/60Hz filter. Premature rolling off in the passband will cause wanted frequencies<br />

<strong>to</strong> be lost. In the vertical axis this causes loss of vertical resolution; in the temporal<br />

axis this results in motion blur. S<strong>to</strong>p band ripples allow alias frequencies in<strong>to</strong> the<br />

passband. In the vertical axis, the spatial beat frequencies will be given by the<br />

difference between the number of lines in the frames, i.e. 625 - 525 = 100 cycles per<br />

picture height, and by the difference between the number of lines in the fields, i.e.<br />

50 cycles per picture height. On the temporal axis, the beat frequencies will be given<br />

by the differences between frame and field rates, i.e. 5 and 10 Hz.<br />

3.6 Aperture synthesis<br />

It is the frequency response of a two dimensional filter which is of most interest<br />

because this determines how much impairment will be caused by unsuppressed<br />

aliases. However, in order <strong>to</strong> implement the filter, it must be supplied with<br />

coefficients which result from sampling the impulse response. <strong>The</strong> impulse response<br />

and the frequency response are connected by the Fourier transform. <strong>The</strong> goal is <strong>to</strong><br />

design an impulse response having the best compromise between roll-off and ripple.<br />

Aperture synthesis is a technique which makes this design process significantly<br />

easier. Realisable filters work with a finite window, and in a sampled system there<br />

are a finite number of samples within that window.<br />

42

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