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 14-bit ADC that rounds to the nearest code has an input range of 0 to 2.5 V. With 1 LSB = V_FSR/2ᴺ, find the largest quantisation error e_q,max in mV.

N = 14V_FSR = 2.5 V

e_q,max = mV

2.Easy

An 8-bit ADC has an input range of 0 to 3.3 V. Taking 1 LSB = V_FSR/2ᴺ, find the size of one LSB in mV.

N = 8V_FSR = 3.3 V

1 LSB = mV

3.Medium

An 11.5 kHz sine wave is sampled at 10 kHz without an anti-aliasing filter. At which frequency f_a does it appear in the samples? Give it in kHz.

f = 11.5 kHzf_s = 10 kHz

f_a = kHz

4.Medium

A recorder samples 2 channels at 25 kHz each with a 16-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 30 min recording, in MB (1 MB = 10⁶ bytes).

n = 2f_s = 25 kHzN = 16t = 30 min

M = MB

5.Hard

A 2-channel multiplexer feeds one ADC. Each conversion takes 5 µs, and after every channel switch the input needs 5 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 = 5 µst_set = 5 µs

f_s = kHz

6.Hard

A temperature sensor gives 10 mV/°C (0 V at 0 °C). Its signal is amplified 5 times and fed to an 8-bit ADC with a range of 0 to 3.3 V (1 LSB = V_FSR/2ᴺ). Find the temperature change ΔT_LSB that corresponds to one LSB.

S = 10 mV/°CG = 5N = 8V_FSR = 3.3 V

ΔT_LSB = °C

Answer key

1. e_q,max = 0.07629 mV
2. 1 LSB = 12.89 mV
3. f_a = 1.5 kHz
4. M = 180 MB
5. f_s = 50 kHz
6. ΔT_LSB = 0.2578 °C

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