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 10-bit ADC has an input range of 0 to 5 V. Taking 1 LSB = V_FSR/2ᴺ, find the size of one LSB in mV.

N = 10V_FSR = 5 V

1 LSB = mV

2.Easy

An 8-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 = 8V_FSR = 2.5 V

e_q,max = mV

3.Medium

A recorder samples 4 channels at 2 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 = 4f_s = 2 kHzN = 16t = 30 min

M = MB

4.Medium

A 10.4 kHz sine wave is sampled at 8 kHz without an anti-aliasing filter. At which frequency f_a does it appear in the samples? Give it in Hz.

f = 10.4 kHzf_s = 8 kHz

f_a = Hz

5.Hard

A 2-channel multiplexer feeds one ADC. Each conversion takes 1 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 = 1 µst_set = 5 µs

f_s = kHz

6.Hard

A temperature sensor gives 5 mV/°C (0 V at 0 °C). Its signal is amplified 20 times and fed to a 12-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 = 5 mV/°CG = 20N = 12V_FSR = 5 V

ΔT_LSB = °C

Answer key

1. 1 LSB = 4.883 mV
2. e_q,max = 4.883 mV
3. M = 28.8 MB
4. f_a = 2400 Hz
5. f_s = 83.33 kHz
6. ΔT_LSB = 0.01221 °C

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