Dynamic Range and Human Perception
Factor (power) | Decibels | Stops |
---|---|---|
1 | 0 | 0 |
2 | 3.01 | 1 |
3.16 | 5 | 1.66 |
4 | 6.02 | 2 |
5 | 6.99 | 2.32 |
8 | 9.03 | 3 |
10 | 10 | 3.32 |
16 | 12.0 | 4 |
20 | 13.0 | 4.32 |
31.6 | 15 | 4.98 |
32 | 15.1 | 5 |
50 | 17.0 | 5.64 |
100 | 20 | 6.64 |
1 000 | 30 | 9.97 |
1 024 | 30.1 | 10 |
10 000 | 40 | 13.3 |
100 000 | 50 | 16.6 |
1 000 000 | 60 | 19.9 |
1 048 576 | 60.2 | 20 |
100 000 000 | 80 | 26.6 |
1 073 741 824 | 90.3 | 30 |
10 000 000 000 | 100 | 33.2 |
The human senses of sight and hearing have a very high dynamic range. A human is capable of hearing (and usefully discerning) anything from a quiet murmur in a soundproofed room to the sound of the loudest heavy metal concert. Such a difference can exceed 100 dB which represents a factor of 100,000 in amplitude and a factor 10,000,000,000 in power. A human can see objects in starlight (although colour differentiation is reduced at low light levels) or in bright sunlight, even though on a moonless night objects receive 1/1,000,000,000 of the illumination they would on a bright sunny day: that is a dynamic range of 90 dB. A human cannot perform these feats of perception at both extremes of the scale at the same time. The eyes take time to adjust to different light levels and the dynamic range of the human eye in a given scene is actually quite limited due to optical glare. The instantaneous dynamic range of human audio perception is similarly subject to masking, so that, for example, a whisper cannot be heard in loud surroundings. Nevertheless, a high-quality audio reproduction system should be able to reproduce accurately both the quiet sounds and the loud; similarly, a high-quality camera system should be able to capture both shadow details in nighttime scenes and bright areas of sunny scenes.
In practice, it is difficult to achieve the full dynamic range experienced by humans using electronic equipment. Electronically reproduced audio and video often uses some trickery to fit original material with a wide dynamic range into a narrower recorded dynamic range that can more easily be stored and reproduced: these techniques are called dynamic range compression. For example, a good quality LCD display has a dynamic range of around 1000:1 (commercially the dynamic range is often called the "contrast ratio" meaning the full-on/full-off luminance ratio), and some of the latest CMOS image sensors now have measured dynamic ranges of about 11,000:1 (reported as 13.5 stops, or doublings, equivalent to binary bits). Paper reflectance can achieve a dynamic range of about 100:1. Professional ENG Camcorders such as Sony Digital Betacam currently achieves dynamic ranges of greater than 90dB in audio recording.
When showing a movie or a game, a display is able to show both shadowy nighttime scenes and bright outdoor sunlit scenes, but in fact the level of light coming from the display is much the same for both types of scene (perhaps different by a factor of 10). Knowing that the display does not have a huge dynamic range, the program makers do not attempt to make the nighttime scenes millions of times less bright than the daytime scenes, but instead use other cues to suggest night or day. A nighttime scene will usually contain duller colours and will often be lit with blue lighting, which reflects the way that the human eye sees colours at low light levels.
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