Data acquisition & sampling worksheet with answers

Free printable Data acquisition & sampling worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy

A 12-bit ADC has an input range of 0 to 2.5 V. Taking 1 LSB = V_FSR/2ᴺ, find the size of one LSB in mV.

N = 12V_FSR = 2.5 V

1 LSB = mV

2.Easy

An 8-bit ADC that rounds to the nearest code has an input range of 0 to 1 V. With 1 LSB = V_FSR/2ᴺ, find the largest quantisation error e_q,max in mV.

N = 8V_FSR = 1 V

e_q,max = mV

3.Medium

A sensor measures temperature over a span of 150 °C, and its output fills the whole input range of an ADC. The reading must resolve 0.5 °C. Find the smallest number of bits N the ADC needs.

span = 150 °Cresolution = 0.5 °C

N =

4.Medium

Find the ideal signal-to-quantisation-noise ratio SQNR of a 16-bit ADC for a full-scale sine wave.

N = 16

SQNR = dB

5.Hard

A temperature sensor gives 5 mV/°C (0 V at 0 °C). Its signal is amplified 5 times and fed to a 10-bit ADC with a range of 0 to 2.5 V (1 LSB = V_FSR/2ᴺ). Find the temperature change ΔT_LSB that corresponds to one LSB.

S = 5 mV/°CG = 5N = 10V_FSR = 2.5 V

ΔT_LSB = °C

6.Hard

A temperature sensor gives 20 mV/°C (0 V at 0 °C). Its signal is amplified 20 times and fed to a 10-bit ADC with a range of 0 to 10 V (1 LSB = V_FSR/2ᴺ). Find the temperature change ΔT_LSB that corresponds to one LSB.

S = 20 mV/°CG = 20N = 10V_FSR = 10 V

ΔT_LSB = °C

Answer key

1. 1 LSB = 0.6104 mV
2. e_q,max = 1.953 mV
3. N = 9
4. SQNR = 98.08 dB
5. ΔT_LSB = 0.09766 °C
6. ΔT_LSB = 0.02441 °C

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