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Luminance Non-Linearity<br />

Figure 80. Unmodulated Staircase signal.<br />

Figure 81. An example of luminance non-linearity<br />

distortion.<br />

• DEFINITION<br />

Luminance non-linearity, or differential luminance, is present if<br />

luminance gain is affected by luminance level. In other words,<br />

there is a non-linear relationship between the input and output<br />

signals in the luminance channel. This amplitude distortion is a<br />

result of the system's inability to uniformly process luminance<br />

information over the entire amplitude range.<br />

The amount of luminance non-linearity is expressed as a percentage.<br />

Measurements are made by comparing the amplitudes<br />

of the individual steps in a Staircase signal. The difference<br />

between the largest and smallest steps, expressed as a percentage<br />

of the largest step amplitude, is the amount of luminance<br />

non-linearity distortion. Measurements should be made at both<br />

low and high APL; the worst result should be quoted.<br />

• PICTURE EFFECTS<br />

People are not particularly sensitive to luminance non-linearity<br />

in black and white pictures. If large amounts of distortion are<br />

present, however, you might notice loss of detail in the shadows<br />

and highlights. These effects correspond to crushing or clipping<br />

of the black and white.<br />

In colour pictures, however, luminance non-linearity is often more<br />

noticeable. This is because colour saturation, to which the eye<br />

is more sensitive, is affected. (Colour saturation is affected<br />

whenever the ratio between chrominance and luminance<br />

amplitude is not accurately transferred through a system.)<br />

• TEST SIGNALS<br />

Luminance non-linearity should be measured with a test signal<br />

which consists of uniform-amplitude luminance steps. Unmodulated<br />

5 step or 10 step Staircase signals (without chrominance) are<br />

typically used.<br />

If an unmodulated signal is not available, the measurement can<br />

also be made with a Modulated Staircase. This is generally not<br />

good practice, however, since both differential gain and luminance<br />

non-linearity can have the same net effect on the signal.<br />

• MEASUREMENT METHODS<br />

Luminance non-linearities are quantified by comparing the step<br />

amplitudes of the test signal. Since the steps were initially all of<br />

uniform height, any differences are a result of this distortion.<br />

The waveform in Figure 81 exhibits luminance non-linearity<br />

distortion — note that the top step is shorter than the others.<br />

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