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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Name: ____________________ Date: ____________

1.Easy

A sensor signal contains frequencies up to 3 kHz. Find the minimum sampling rate f_s,min that captures it without aliasing.

f_max = 3 kHz

f_s,min = kHz

2.Easy

A data logger samples 6 channels, each at 5 kHz with 24-bit resolution. Find the raw data rate R_b in kbit/s.

n = 6f_s = 5 kHzN = 24

R_b = kbit/s

3.Medium

A 2.2 kHz sine wave is sampled at 4 kHz without an anti-aliasing filter. At which frequency f_a does it appear in the samples? Give it in Hz.

f = 2.2 kHzf_s = 4 kHz

f_a = Hz

4.Medium

A 2.4 kHz sine wave is sampled at 4 kHz without an anti-aliasing filter. At which frequency f_a does it appear in the samples? Give it in Hz.

f = 2.4 kHzf_s = 4 kHz

f_a = Hz

5.Hard

A temperature sensor gives 20 mV/°C (0 V at 0 °C). Its signal is amplified 5 times and fed to a 10-bit ADC with a range of 0 to 10 V (1 LSB = V_FSR/2ᴺ). Find the temperature change ΔT_LSB that corresponds to one LSB.

S = 20 mV/°CG = 5N = 10V_FSR = 10 V

ΔT_LSB = °C

6.Hard

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

S = 10 mV/°CG = 1N = 8V_FSR = 10 V

ΔT_LSB = °C

Answer key

1. f_s,min = 6 kHz
2. R_b = 720 kbit/s
3. f_a = 1800 Hz
4. f_a = 1600 Hz
5. ΔT_LSB = 0.09766 °C
6. ΔT_LSB = 3.906 °C

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