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2.2 What is meant by
bandwidth? Once
we have the idea that images or stimuli can be represented in the frequency
domain (both spatial and temporal) it is natural to consider what are
the highest and lowest frequencies present as any system that will have
to display or manipulate these stimuli will need to work equally well
for all these frequencies. In other words, in order not to introduce
unnecessary distortion into our stimulus, the reproduction system should
have a flat frequency response across this range. The bandwidth of the
system must exceed the bandwidth of the signal. In practice the observer
of the stimulus will place upper and lower bounds on the required bandwidth
as there is no point in reproducing signals if they are can't be utilised.
For reference, the frequency response of a human, very roughly, is about
0.1 to 40 cpd in the spatial domain and 0.1 to 70Hz in the temporal domain.
It is difficult to characterise these bandwidths precisely as they depend
significantly on the viewing conditions including such things as the
luminance and contrast of the stimulus itself and what else is happening
in the neighbourhood. Please beware that the frequency response of a
component of a visual system, such as a retinal cell, may be significantly
higher than the frequency response of the visual system as a whole and
this should be considered when probing internally. It is mush easier
to measure the bandwidth of a machine such as a CRT display and this
is often quoted by the manufacturer on his data sheets; but more of this
later.
The spatial bandwidth of a device is normally determined by its physical
size at the low frequency end and the density with which it can produce
dots at the high frequency end (the dot pitch). It is worth noting here
that the bandwidth of a CRT display, but not a scanner or laser printer,
also depends on the ability of the video circuitry to turn the electron
beam on and off fast too. In fact it is not just the monitor that has this
problem but the visual stimulus generator as well so it is convenient to
lump them together and talk about the bandwidth of the system as a whole.
This electronic bandwidth limits the ability of the system to reproduce
horizontally adjacent pixels and therefore has the affect of reducing the
resolution in this direction. Vertically adjacent pixels are unaffected
by electronic bandwidth as they are really separated, as far as the electronics
is concerned, by the time it takes to scan one line. A high quality visual
stimulus generator/display system will have a video bandwidth of at least
100MHz which corresponds to rise and fall times of about 3.5ns. (A good
way to measure the bandwidth is to generate a stimulus of parallel dark
and light bars and measure the average screen luminance. Do this for horizontal
and then vertical bars and for different separations. When the bars are
horizontal, changing the spacing between them shouldn’t affect the
total luminance but when vertical the bandwidth reduction caused by the
video system combined with the non-linearity of the display will create
a reduction in overall luminance.)

Figure 1 What happens to the luminance when the bandwidth is poor
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