Question

# An 10-bit successive approximation A/D (Analog-to-digital) converter has the following specs: Minimum analog to digital conversion...

An 10-bit successive approximation A/D (Analog-to-digital) converter has the following specs: Minimum analog to digital conversion time 3×10^-3 second with the analog input voltage range: 0 to +6 volts. The A/D is used with a laser micrometer sensor that provides analog position feedback in the range of 0-0.02 m mapping linearly to the voltage of 0-1 volt with precision (accuracy) of 60 μm.

a) What is the maximum frequency that can be sampled without aliasing (Hz)?

b) What is the resolution of this A/D converter in volts? A/D Resolution (mV)?

c) What is the precision of measured position by using this A/D converter and the laser micrometer in meter (μm)? Precision?

d) Design efficient interface between A/D and the laser micrometer to reach the highest possible precision (accuracy) of measured position value. Draw the schematic of signal conditioning circuit and calculated the properties of required components.

e) Determine the precision of measured position with the integration of your designed signal conditioning circuit interface to the A/D converter?

The given data specifically mentions about minimum conversion time of ADC which is 3×10^-3 second. Now a successive approximation type time for conversion directly depends on the number of bits being used and is thus constant for a given ADC

This can be used to calculate frequency by the relation F= 1/T where T is the conversion time This comes out to be  333.33 hz

Now in order to Prevent aliasing by nyquist theorem the frequency used must be half of that hence it must be 333.33hz/2 = 166.65Hz