I've been having a discussion with a colleague about ENOB (effective number of bits) calculations for DACs and ADCs. We both come across it from different directions (he being more analog, and me being more digital).
My understanding of ENOB is that it is an indicator of the bit depth you can reliably detect (for an ADC) given the noise of the system. So with a given noise floor, you can't use the bottom 100 ADC codes for example so you your ENOB is number of bits required to generate the remaining number of codes. The limiting factor on the ENOB value is always going to be actual bit depth of the ADC itself. This is a very digital perspective on things.
His understanding is that ENOB calculations are based on analog measurements, and there is no limit to the maximum ENOB – it is entirely dependent on the noise characteristics of the ADC. A rather analog view on things.
I agree in that the ENOB calculations we do in the office are completely derived from analog measurements with no prior knowledge of the ADC's bit depth. However, I can't understand how an 8 bit ADC could have an ENOB greater than 8.
Would the quantisation noise of the ADC be the limiting factor on the ENOB? If measuring the ENOB of a perfect sine wave with only 8bit quantisation noise present, would the ENOB be a perfect 8 or would it be higher?
Best Answer
I think this depends on where you draw the imaginary box around the 'ADC'. If the ADC is 8 bits and you see only 8 bits at the interface, then ENOB can't be better than 8 bits.
If you draw the box around an 8 bit or 1 bit or 16 bit converter than has internal oversampling and digital filtering and you're presented with 24 bits at the interface to that box, then ENOB certainly can be more than whatever is used internally. A Delta-Sigma converter in its simplest form is a 1-bit converter, yet you can get 19 or 20 bits ENOB (out of 24 bits presented).
ENOB can be calculated from SINAD (Signal to noise and distortion ratio), which includes quantization noise, distortion, reference noise and thermal noise. All the noise sources add, at best they add in quadrature, so you can never have lower noise than the quantization noise, but there are many other possible sources of noise and distortion (especially in high resolution converters).