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 5 kHz. Find the minimum sampling rate f_s,min that captures it without aliasing.

f_max = 5 kHz

f_s,min = kHz

2.Easy

An 8-bit ADC that rounds to the nearest code has an input range of 0 to 10 V. With 1 LSB = V_FSR/2ᴺ, find the largest quantisation error e_q,max in mV.

N = 8V_FSR = 10 V

e_q,max = mV

3.Medium

A recorder samples 2 channels at 1 kHz each with a 16-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 2 min recording, in MB (1 MB = 10⁶ bytes).

n = 2f_s = 1 kHzN = 16t = 2 min

M = MB

4.Medium

A 12-bit ADC with an input range of 0 to 5 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 1.522 V.

N = 12V_FSR = 5 VV_in = 1.522 V

D =

5.Hard

A temperature sensor gives 10 mV/°C (0 V at 0 °C). Its signal is amplified 10 times and fed to an 8-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 = 10 mV/°CG = 10N = 8V_FSR = 2.5 V

ΔT_LSB = °C

6.Hard

A 2-channel multiplexer feeds one ADC. Each conversion takes 4 µs, and after every channel switch the input needs 1 µs to settle. The channels are scanned in turn without pause. Find the sampling rate f_s of each channel, in kHz.

n = 2t_c = 4 µst_set = 1 µs

f_s = kHz

Answer key

1. f_s,min = 10 kHz
2. e_q,max = 19.53 mV
3. M = 0.48 MB
4. D = 1246
5. ΔT_LSB = 0.09766 °C
6. f_s = 100 kHz

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