J
John Larkin
Guest
On Mon, 02 Sep 2013 18:40:18 -0700, RobertMacy <robert.a.macy@gmail.com> wrote:
How are you measuring that 22.5 bits?
--
John Larkin Highland Technology Inc
www.highlandtechnology.com jlarkin at highlandtechnology dot com
Precision electronic instrumentation
Picosecond-resolution Digital Delay and Pulse generators
Custom timing and laser controllers
Photonics and fiberoptic TTL data links
VME analog, thermocouple, LVDT, synchro, tachometer
Multichannel arbitrary waveform generators
On Mon, 02 Sep 2013 13:02:10 -0700, Phil Hobbs
pcdhSpamMeSenseless@electrooptical.net> wrote:
...snip...
Sorry? Surely anybody designing high performance A/D subsystems knows
that 2**10 ~= 1000, that the RMS quantization noise of an ideal
digitizer is 1/sqrt(12) of the LSB, and that the noise is more or less
white? You can derive it yourself in about three lines.
All I'm saying is:
1. 1 LSB = FSR/2**N
2. 2**20 ~= 10**6.
Therefore, 1 LSB ~= 5 uV.
3. RMS quantization noise is 1/sqrt(12)* 1 LSB ~= 5 uV/3.46 ~= 1.4 uV,
spread out evenly over the Nyquist interval.
4. The Nyquist bandwidth is 50 MHz (not 100), so given that the noise is
white, the quantization noise PSD is 1.4 uV/sqrt(50 MHz) ~=200
pV/sqrt(Hz).
5. To get that many bits to stay reasonably still, your RMS input noise
has to be well below that. Even slow delta-sigmas are hard pressed to
reach a genuine 20 bits, and most of them actually crap out around 18 or
19, AFAICT.
6. IOW, good luck.
That's just engineering rules of thumb.
Cheers
Phil Hobbs
Sorry? LOL! I actually read that out loud for effect.
In the present 24 bit Data Acquisition system I get something like a
measured 22.5 bits, meaning not quite 23, but better than 22. And, I
couldn't believe I actually ran up to 91% of the Nyquist rate! but I
backed it off down to 89% so didn't see ANY limiting effects.
How are you measuring that 22.5 bits?
--
John Larkin Highland Technology Inc
www.highlandtechnology.com jlarkin at highlandtechnology dot com
Precision electronic instrumentation
Picosecond-resolution Digital Delay and Pulse generators
Custom timing and laser controllers
Photonics and fiberoptic TTL data links
VME analog, thermocouple, LVDT, synchro, tachometer
Multichannel arbitrary waveform generators