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 14-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 = 14V_FSR = 1 V

e_q,max = mV

2.Easy

A sensor signal contains frequencies up to 0.5 kHz. Find the minimum sampling rate f_s,min that captures it without aliasing.

f_max = 0.5 kHz

f_s,min = kHz

3.Medium

A 10-bit ADC with an input range of 0 to 10 V truncates: its output code is ⌊V_in/LSB⌋ with 1 LSB = V_FSR/2ᴺ. Find the decimal output code D for an input of 4.553 V.

N = 10V_FSR = 10 VV_in = 4.553 V

D =

4.Medium

An ADC with an input range of 0 to 1 V must resolve steps of 1 mV or smaller. Find the smallest number of bits N.

V_FSR = 1 Vresolution = 1 mV

N =

5.Hard

A temperature sensor gives 1 mV/°C (0 V at 0 °C). Its signal is amplified 2 times and fed to an 8-bit ADC with a range of 0 to 5 V (1 LSB = V_FSR/2ᴺ). Find the temperature change ΔT_LSB that corresponds to one LSB.

S = 1 mV/°CG = 2N = 8V_FSR = 5 V

ΔT_LSB = °C

6.Hard

A 4-channel multiplexer feeds one ADC. Each conversion takes 8 µs, and after every channel switch the input needs 2.5 µs to settle. The channels are scanned in turn without pause. Find the sampling rate f_s of each channel, in kHz.

n = 4t_c = 8 µst_set = 2.5 µs

f_s = kHz

Answer key

1. e_q,max = 0.03052 mV
2. f_s,min = 1 kHz
3. D = 466
4. N = 10
5. ΔT_LSB = 9.766 °C
6. f_s = 23.81 kHz

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