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.

New worksheet Practise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________ Date: ____________

1.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

2.Easy

A 16-bit ADC has an input range of 0 to 1 V. Taking 1 LSB = V_FSR/2ᴺ, find the size of one LSB in mV.

N = 16V_FSR = 1 V

1 LSB = mV

3.Medium

A 12-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 3.939 V.

N = 12V_FSR = 10 VV_in = 3.939 V

D =

4.Medium

A 90 kHz sine wave is sampled at 100 kHz without an anti-aliasing filter. At which frequency f_a does it appear in the samples? Give it in kHz.

f = 90 kHzf_s = 100 kHz

f_a = kHz

5.Hard

A temperature sensor gives 1 mV/°C (0 V at 0 °C). Its signal is amplified 10 times and fed to a 12-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 = 1 mV/°CG = 10N = 12V_FSR = 2.5 V

ΔT_LSB = °C

6.Hard

A 2.25 kHz square wave is sampled at 5 kHz with no anti-aliasing filter. A square wave contains the odd harmonics 3f₁, 5f₁, 7f₁, … At which frequency f_a does its harmonic 3f₁ appear in the sampled data? Give it in Hz.

f₁ = 2.25 kHzf_s = 5 kHzharmonic: 3f₁

f_a = Hz

Answer key

1. f_s,min = 1 kHz
2. 1 LSB = 0.01526 mV
3. D = 1613
4. f_a = 10 kHz
5. ΔT_LSB = 0.06104 °C
6. f_a = 1750 Hz

Full step-by-step solutions: practise this topic on examproblems.com.