candc said:
I am not up on the binary bits part of it all. Is that how it works, you need 16 bit raw to record 16 stops dr?
Some enlightening information about Signal-to-Noise Ratio (SNR) and the Dynamic Range (DR):
1) The SNR is usually defined as the square of the signal amplitude (e.g. the number of photons detected in a pixel) divided by the square of the standard deviation of the noise on that pixel.
The following factors add up into that pixel noise:
* The poisson distribution of the number of detected photons.
* The random electronic thermal noise.
* Signal interference with other electronic components.
* Quantization errors.
2) To get the DR you ask the question: What is the highest amplitude that I can get and what is the amplitude with an SNR of 1? Then you divide them and get the DR.
Why is the SNR not equal to the DR?
The reason is the poisson noise. While the other noise factors mostly stay at the same level for dark and bright pixels on the same image (but change with different selected ISO values), the noise of a bright pixel is higher than the noise of a dark pixel. When you have a high amplitude, e.g. a high number of photons, there is a high variation in the actual number of photons in that pixel. This is simple poisson statistics and cannot be avoided.
The bright parts of your image are dominated by the poisson noise and all sensors are electronically very close to perfection there. Look up the SNR values at DXO and they are the same for all sensors with the same size.
Why is the DR of Sony sensors better than the DR of Canon sensors?
Sony has a better A/D-converter which reduces the electronic interference noise. Therefore dark pixels have lower noise. Bright pixels are virtually identical.
Why is the DR of Sony and Canon sensors equal at high ISO?
Canon amplifies the signal on the sensor before sending it to the A/D-converter, therefore the electronic interference is not as high in comparison. Here, the maximum brightness is limited.
Now to answer your question:
In a linear system, yes, you need 16 bits to represent the values needed for 16 stops of DR at the single pixel level.
However if you scale down the image you gain 1 bit of SNR and DR when you reduce width and height by a factor of 2. This even works when you use 14 bit for the RAW image and 16 bit for the digital processing afterwards. This is simple statistics. If you take a picture at 22 MP at 13 stops of DR and scale it down to 1.4 MP you get 15 stops of DR. Therefore HD-ready video with 15 stops of DR is totally believable with the current sensor technology.
One way to get more than 14 stops of DR out of 14 bits is to use a nonlinear A/D-curve and use digital processing to linearize it afterwards in 16 bits. This would reduce the SNR a bit but it's not really a problem because due to poisson noise you don't have 16 bits of SNR anyways. The only difficulty is to make a good low noise nonlinear amplifier.
So, yes, there are some tricks to get more than 14 stops of DR out of a 14 bits A/D-converter.