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

An ADC samples at 12 kHz. Find the Nyquist frequency f_N, the highest signal frequency it can represent without aliasing.

f_s = 12 kHz

f_N = kHz

2.Easy

A sensor signal contains frequencies up to 4 kHz. Find the minimum sampling rate f_s,min that captures it without aliasing.

f_max = 4 kHz

f_s,min = kHz

3.Medium

A sensor measures temperature over a span of 150 °C, and its output fills the whole input range of an ADC. The reading must resolve 0.1 °C. Find the smallest number of bits N the ADC needs.

span = 150 °Cresolution = 0.1 °C

N =

4.Medium

A 57.5 kHz sine wave is sampled at 50 kHz without an anti-aliasing filter. At which frequency f_a does it appear in the samples? Give it in kHz.

f = 57.5 kHzf_s = 50 kHz

f_a = kHz

5.Hard

A 16-channel multiplexer feeds one ADC. Each conversion takes 2 µs, and after every channel switch the input needs 0.5 µs to settle. The channels are scanned in turn without pause. Find the sampling rate f_s of each channel, in kHz.

n = 16t_c = 2 µst_set = 0.5 µs

f_s = kHz

6.Hard

A temperature sensor gives 10 mV/°C (0 V at 0 °C). Its signal is amplified 20 times and fed to an 8-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 = 10 mV/°CG = 20N = 8V_FSR = 5 V

ΔT_LSB = °C

Answer key

1. f_N = 6 kHz
2. f_s,min = 8 kHz
3. N = 11
4. f_a = 7.5 kHz
5. f_s = 25 kHz
6. ΔT_LSB = 0.09766 °C

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