Bernice, what is the relationship between signal to noise and dac step resolution? I ask because they are both measured in -dB.
Step resolution is the "size" per DAC step, example if a DAC is claimed to have 16 bits, that would be 2^16 or 65536 steps. If the reference voltage is 10 volts, each step would be 10/65536 = 0.000152 volts per step.
Signal to noise: using that 10 volt reference, shutting off the output from the Device Under Test and measuring the noise output over a specified bandwidth.
db is another way of expressing ratios based on a Log curve. 20*Log x
Example for step resolution, 16 bits = 65536 = 96.3db
Example for Signal to Noise, 10 volt reference, measured voltage limited by a specified bandwidth of 1uV = 1,000,000 to 1 ratio = 120 db.
The larger the bandwidth, the more noise will be measured, smaller the bandwidth lower noise will be measured.
Over sampling does not increase the amount of information contained in the original data, these are calculated steps between the original data to reduce filter requirements. There are many other factors involved with conversion accuracy like step settling time, timing per step (jitter) and more.
The job of the DAC filter is "connect the dots" resulting in the re-constructed analog signal. Sound simple, but that actual event is very complex.
The entire process produces distortions that are very different than analog systems which is why old audio industry measurement standards do not show the problems with digital conversions.
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