Anode voltage is easy; just use a resistive divider to get the voltage 
within the range of your ADC, and be sure to put a filter cap (0.01uF 
should work) at the ADC input (most ADC inputs appear as a 
switched-capacitor).

Current is a different animal. The easiest way to dodge this is to use a 
current-limit circuit at each anode and you really dont need to measure it 
anymore.

Anode current can be measured at the cathode side by tying all of the 
cathode drivers together, then connecting to GND thru a sense-resistor. For 
example, if you use an HV5530 to drive your cathodes, connect all of the 
VSS pins together, then to GND thru a sense resistor. If you drive 3 tubes 
from single HV5530, your max current will be about 15mA. Next, select a 
sense-resistor that will give about 1V drop at 15mA; by ohms law this works 
to about 67 ohms. Be aware the sense-resistor will affect the 
signal-integrity into the HV5530, so be sure to use the recommended input 
levels (12V logic), and this will directly impact your low-level noise 
margin. But with a 1V drop, the overall impact to noise margin at 12V 
signal swing is negligible.

The other option is high-side current-monitoring. You could use a cheap 
analog or digital meter and put in-series with the anode supply. If you 
want to extract that info for you microcontroller, then your best option is 
to have an A/D converter on the high-side, and use opto-isolators on the 
serial interface to the ADC. There will be a fair amount of support 
circuitry for this, so be warned.

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